-
3
-
-
84972513653
-
Locally compact groups acting on trees
-
R. Alperin, Locally compact groups acting on trees, Pacific Journal of Mathematics 100 (1982), 23-32.
-
(1982)
Pacific Journal of Mathematics
, vol.100
, pp. 23-32
-
-
Alperin, R.1
-
4
-
-
23944482081
-
The Pontryagin duality of sequential limits of topological Abelian groups
-
S. Ardanza-Trevijano and M. J. Chasco, The Pontryagin duality of sequential limits of topological Abelian groups, Journal of Pure and Applied Algebra 202 (2005), 11-21.
-
(2005)
Journal of Pure and Applied Algebra
, vol.202
, pp. 11-21
-
-
Ardanza-Trevijano, S.1
Chasco, M.J.2
-
5
-
-
58549111402
-
Continuous convergence and duality of limits of topological Abelian groups
-
S. Ardanza-Trevijano and M. J. Chasco, Continuous convergence and duality of limits of topological Abelian groups, Sociedad Matematica Mexicana. Boletín 13 (2007), 15-23.
-
(2007)
Sociedad Matematica Mexicana. Boletín
, vol.13
, pp. 15-23
-
-
Ardanza-Trevijano, S.1
Chasco, M.J.2
-
6
-
-
84871135066
-
-
L. Außenhofer, Contributions to the duality theory of Abelian topological groups and to the theory of nuclear groups, Dissertationes Mathematicae 384 (1999), 113 pp.
-
-
-
-
7
-
-
84871177080
-
-
L. Außenhofer, personal communication, March 2006.
-
-
-
-
8
-
-
84871113209
-
-
L. Außenhofer, On the nuclearity of dual groups, 2007, preprint.
-
-
-
-
11
-
-
47749087804
-
-
R. Beattie and H.-P. Butzmann, Continuous duality of limits and colimits of topological Abelian groups, Applied Categorical Structures (online first, 2007), DOI 10. 1007/s10485-007-9112-5.
-
-
-
-
12
-
-
4444339537
-
Curtis-Phan-Tits Theory
-
A. A. Ivanov, M. W. Liebeck, and J. Saxl (Eds.), River Edge, NJ: World Sci. Publ
-
C. D. Becket, R. Gramlich, C. Hoffman and S. Shpectorov, Curtis-Phan-Tits Theory, in Groups, Combinatorics and Geometry (A. A. Ivanov, M. W. Liebeck and J. Saxl eds.), World Sci. Publ., River Edge, NJ, 2003, pp. 13-29.
-
(2003)
Groups, Combinatorics and Geometry
, pp. 13-29
-
-
Becket, C.D.1
Gramlich, R.2
Hoffman, C.3
Shpectorov, S.4
-
15
-
-
77956111954
-
Generators and relations in compact Lie groups (Russian), Akademija Nauk SSSR
-
(English translation: Functional Analysis and its Applications 18 (1984), 133-134)
-
M. V. Borovoi, Generators and relations in compact Lie groups (Russian), Akademija Nauk SSSR. Funkcional'nyi Analiz i ego Prilozenija 18 (1984), 57-58; (English translation: Functional Analysis and its Applications 18 (1984), 133-134).
-
(1984)
Funkcional'nyi Analiz I Ego Prilozenija
, vol.18
, pp. 57-58
-
-
Borovoi, M.V.1
-
17
-
-
0004019457
-
-
Berlin: Springer
-
K. S. Brown, Buildings, Springer, Berlin, 1989.
-
(1989)
Buildings
-
-
Brown, K.S.1
-
18
-
-
84871143327
-
-
P.-E. Caprace, Abstract Homomorphisms of Split Kac-Moody Groups, in Memoirs of the American Mathematical Society, 198 (2009).
-
-
-
-
19
-
-
0042429203
-
Topologies on the direct sum of topological abelian groups
-
M. J. Chasco and X. Domínguez, Topologies on the direct sum of topological abelian groups, Topology and its Applications 133 (2003), 209-223.
-
(2003)
Topology and Its Applications
, vol.133
, pp. 209-223
-
-
Chasco, M.J.1
Domínguez, X.2
-
22
-
-
84871113888
-
-
J. Dunlap, Uniqueness of Curtis-Phan-Tits Amalgams, Ph. D. Thesis, Bowling Green State University, 2005.
-
-
-
-
25
-
-
0039591542
-
Structure and analysis on nuclear groups
-
J. Galindo, Structure and analysis on nuclear groups, Houston Journal of Mathematics 26 (2000), 315-334.
-
(2000)
Houston Journal of Mathematics
, vol.26
, pp. 315-334
-
-
Galindo, J.1
-
26
-
-
0001537291
-
p-adic curvature and the cohomology of discrete subgroups of p-adic groups
-
H. Garland, p-adic curvature and the cohomology of discrete subgroups of p-adic groups, Analysis Mathematica 97 (1973), 375-423.
-
(1973)
Analysis Mathematica
, vol.97
, pp. 375-423
-
-
Garland, H.1
-
28
-
-
33748993020
-
Fundamentals of direct limit Lie theory
-
H. Glöckner, Fundamentals of direct limit Lie theory, Compositio Mathematica 141 (2005), 1551-1577.
-
(2005)
Compositio Mathematica
, vol.141
, pp. 1551-1577
-
-
Glöckner, H.1
-
29
-
-
33847398770
-
Direct limits of infinite-dimensional Lie groups compared to direct limits in related categories
-
H. Glöckner, Direct limits of infinite-dimensional Lie groups compared to direct limits in related categories, Journal of Functional Analysis 245 (2007), 19-61.
-
(2007)
Journal of Functional Analysis
, vol.245
, pp. 19-61
-
-
Glöckner, H.1
-
30
-
-
41149170598
-
Instructive examples of smooth, complex differentiable and complex analytic mappings into locally convex spaces
-
H. Glöckner, Instructive examples of smooth, complex differentiable and complex analytic mappings into locally convex spaces, Journal of Mathematics of Kyoto University 47 (2007), 631-642.
-
(2007)
Journal of Mathematics of Kyoto University
, vol.47
, pp. 631-642
-
-
Glöckner, H.1
-
31
-
-
0000191823
-
Automorphisms of trivalent graphs
-
D. Goldschmidt, Automorphisms of trivalent graphs, Analysis Mathematica 111 (1980), 377-406.
-
(1980)
Analysis Mathematica
, vol.111
, pp. 377-406
-
-
Goldschmidt, D.1
-
32
-
-
0013302645
-
-
Providence, RI: Amer. Math. Soc
-
D. Gorenstein, R. Lyons and R. Solomon, The Classification of the Finite Simple Groups. Number 2. Part I. Chapter G. General Group Theory, Amer. Math. Soc., Providence, RI, 1995.
-
(1995)
The Classification of the Finite Simple Groups. Number 2. Part I. Chapter G. General Group Theory
-
-
Gorenstein, D.1
Lyons, R.2
Solomon, R.3
-
33
-
-
0013302645
-
-
Providence, RI: Amer. Math. Soc
-
D. Gorenstein, R. Lyons and R. Solomon, The Classification of the Finite Simple Groups. Number 3. Part I. Chapter A. Almost Simple K-Groups, Amer. Math. Soc., Providence, RI, 1998.
-
(1998)
The Classification of the Finite Simple Groups. Number 3. Part I. Chapter A. Almost Simple K-Groups
-
-
Gorenstein, D.1
Lyons, R.2
Solomon, R.3
-
36
-
-
12144250967
-
-
TU Darmstadt: Habilitationsschrift
-
R. Gramlich, Phan Theory, Habilitationsschrift, TU Darmstadt, 2004.
-
(2004)
Phan Theory
-
-
Gramlich, R.1
-
37
-
-
31544452277
-
Defining amalgams of compact Lie groups
-
R. Gramlich, Defining amalgams of compact Lie groups, Journal of Lie Theory 16 (2006), 1-18.
-
(2006)
Journal of Lie Theory
, vol.16
, pp. 1-18
-
-
Gramlich, R.1
-
38
-
-
84871144947
-
-
R. Gramlich, Developments in finite Phan theory, Innovations in Incidence Geometry, to appear.
-
-
-
-
39
-
-
0037673313
-
A Phan-type theorem for Sp(2n, q)
-
R. Gramlich, C. Hoffman and S. Shpectorov, A Phan-type theorem for Sp(2n, q), Journal of Algebra 264 (2003), 358-384.
-
(2003)
Journal of Algebra
, vol.264
, pp. 358-384
-
-
Gramlich, R.1
Hoffman, C.2
Shpectorov, S.3
-
41
-
-
0011289005
-
Some theorems on direct limits of expanding systems of manifolds
-
V. L. Hansen, Some theorems on direct limits of expanding systems of manifolds, Mathematica Scandinavica 29 (1971), 5-36.
-
(1971)
Mathematica Scandinavica
, vol.29
, pp. 5-36
-
-
Hansen, V.L.1
-
42
-
-
84871160290
-
-
T. Hartnick, Moufang Topological Twin Buildings, Diploma Thesis, TU Darmstadt, 2006.
-
-
-
-
45
-
-
0035743440
-
Inductive limits of topologies, their direct products, and problems related to algebraic structures
-
T. Hirai, H. Shimomura, N. Tatsuuma and E. Hirai, Inductive limits of topologies, their direct products, and problems related to algebraic structures, Journal of Mathematics of Kyoto University 41 (2001), 475-505.
-
(2001)
Journal of Mathematics of Kyoto University
, vol.41
, pp. 475-505
-
-
Hirai, T.1
Shimomura, H.2
Tatsuuma, N.3
Hirai, E.4
-
46
-
-
3543114968
-
Der Schursche Multiplikator topologischer Gruppen
-
K. H. Hofmann, Der Schursche Multiplikator topologischer Gruppen, Mathematische Zeitschrift 79 (1962), 389-421.
-
(1962)
Mathematische Zeitschrift
, vol.79
, pp. 389-421
-
-
Hofmann, K.H.1
-
48
-
-
84871141815
-
-
V. G. Kac, Constructing groups associated to infinite-dimensional Lie algebras in Infinitedimensional groups with applications (Berkeley, Calif., 1984), Mathematical Sciences Research Institute Publications 4 (1985), 167-216.
-
-
-
-
49
-
-
0003774747
-
-
Third Editionth edn., Cambridge: Cambridge University Press
-
V. G. Kac, Infinite-Dimensional Lie Algebras, Third Edition, Cambridge University Press, Cambridge, 1990.
-
(1990)
Infinite-Dimensional Lie Algebras
-
-
Kac, V.G.1
-
51
-
-
0012715043
-
Defining relations of certain infinite-dimensional groups
-
V. G. Kac and D. H. Peterson, Defining relations of certain infinite-dimensional groups, Asterisque 1985 (1985), 165-208.
-
(1985)
Asterisque
, vol.1985
, pp. 165-208
-
-
Kac, V.G.1
Peterson, D.H.2
-
52
-
-
0000142226
-
Extensions of Pontryagin duality I: Infinite products
-
S. Kaplan, Extensions of Pontryagin duality I: infinite products, Duke Mathematical Journal 15 (1948), 649-658.
-
(1948)
Duke Mathematical Journal
, vol.15
, pp. 649-658
-
-
Kaplan, S.1
-
53
-
-
0010959620
-
Extensions of Pontryagin duality II: Direct and inverse limits
-
S. Kaplan, Extensions of Pontryagin duality II: direct and inverse limits, Duke Mathematical Journal 17 (1950), 419-435.
-
(1950)
Duke Mathematical Journal
, vol.17
, pp. 419-435
-
-
Kaplan, S.1
-
56
-
-
84972571807
-
Free products of topological groups with amalgamation
-
E. Katz and S. A. Morris, Free products of topological groups with amalgamation, Pacific Journal of Mathematics 119 (1985), 169-180.
-
(1985)
Pacific Journal of Mathematics
, vol.119
, pp. 169-180
-
-
Katz, E.1
Morris, S.A.2
-
57
-
-
84972578413
-
Free products of topological groups with amalgamation II
-
E. Katz and S. A. Morris, Free products of topological groups with amalgamation II, Pacific Journal of Mathematics 120 (1985), 123-130.
-
(1985)
Pacific Journal of Mathematics
, vol.120
, pp. 123-130
-
-
Katz, E.1
Morris, S.A.2
-
58
-
-
31544450408
-
Über die überlagerungsgruppe und die stetige projektive Darstellung topologischer Gruppen
-
Y. Kawada, Über die überlagerungsgruppe und die stetige projektive Darstellung topologischer Gruppen, Japanese Journal of Mathematics 17 (1940), 139-164.
-
(1940)
Japanese Journal of Mathematics
, vol.17
, pp. 139-164
-
-
Kawada, Y.1
-
61
-
-
0036347585
-
Loop Groups and Twin Buildings
-
L. Kramer, Loop Groups and Twin Buildings, Geometriae Dedicata 92 (2002), 145-178.
-
(2002)
Geometriae Dedicata
, vol.92
, pp. 145-178
-
-
Kramer, L.1
-
65
-
-
0013297175
-
Quillen's theorem on buildings and the loops on a symmetric space
-
S. A. Mitchell, Quillen's theorem on buildings and the loops on a symmetric space, Enseignement des Mathématiques (2) 34 (1988), 123-166.
-
(1988)
Enseignement Des Mathématiques (2)
, vol.34
, pp. 123-166
-
-
Mitchell, S.A.1
-
66
-
-
77956131818
-
Local compactness and local invariance of free products of topological groups
-
S. A. Morris, Local compactness and local invariance of free products of topological groups, Colloquium Mathematicum 35 (1976), 21-27.
-
(1976)
Colloquium Mathematicum
, vol.35
, pp. 21-27
-
-
Morris, S.A.1
-
67
-
-
39049145377
-
Locally compact group topologies on an algebraic free product of groups
-
S. A. Morris and P. Nickolas, Locally compact group topologies on an algebraic free product of groups, Journal of Algebra 38 (1976), 393-397.
-
(1976)
Journal of Algebra
, vol.38
, pp. 393-397
-
-
Morris, S.A.1
Nickolas, P.2
-
68
-
-
0033473525
-
Locally split and locally finite twin buildings of 2-spherical type
-
B. Mühlherr, Locally split and locally finite twin buildings of 2-spherical type, Journal für die Reine und Angewandte Mathematik 511 (1999), 119-143.
-
(1999)
Journal für Die Reine Und Angewandte Mathematik
, vol.511
, pp. 119-143
-
-
Mühlherr, B.1
-
69
-
-
84871160586
-
-
B. Mühlherr, On the simple connectedness of a chamber system associated to a twin building, preprint.
-
-
-
-
74
-
-
49549146693
-
Free k-groups and free topological groups
-
E. T. Ordman, Free k-groups and free topological groups, General Topology and Appl. 5 (1975), 205-219.
-
(1975)
General Topology and Appl
, vol.5
, pp. 205-219
-
-
Ordman, E.T.1
-
75
-
-
0041138949
-
Almost-metrizable topological groups (Russian)
-
(English translation: Soviet Mathematics. Doklady 7 (1966), 404-408)
-
B. A. Pasynkov, Almost-metrizable topological groups (Russian), Doklady Akademii Nauk SSSR 161 (1965), 281-284 (English translation: Soviet Mathematics. Doklady 7 (1966), 404-408).
-
(1965)
Doklady Akademii Nauk SSSR
, vol.161
, pp. 281-284
-
-
Pasynkov, B.A.1
-
76
-
-
0003863511
-
-
New York: Oxford Mathematical Monographs
-
A. Pressley and G. Segal, Loop Groups, Oxford Mathematical Monographs, New York, 1986.
-
(1986)
Loop Groups
-
-
Pressley, A.1
Segal, G.2
-
77
-
-
0002242375
-
A criterion for the completeness of topological linear spaces and topological abelian groups (Russian)
-
(English translation: Mathematical Notes 16 (1974), 646-648)
-
D. A. Raǐkov, A criterion for the completeness of topological linear spaces and topological abelian groups (Russian), Rossiǐskaya Akademiya Nauk 16 (1974), 101-106 (English translation: Mathematical Notes 16 (1974), 646-648).
-
(1974)
Rossiǐskaya Akademiya Nauk
, vol.16
, pp. 101-106
-
-
Raǐkov, D.A.1
-
78
-
-
33947722816
-
-
B. Rémy, Groupes de Kac-Moody déployés et presque déployés, Astérisque 277, (2002).
-
-
-
-
79
-
-
0004109075
-
-
Stuttgart: B. G. Teubner
-
H. Schubert, Topologie, B. G. Teubner, Stuttgart, 1964.
-
(1964)
Topologie
-
-
Schubert, H.1
-
80
-
-
33845406360
-
Van der Waerden continuity theorem for semisimple Lie groups
-
A. I. Shtern, van der Waerden continuity theorem for semisimple Lie groups, Russian Journal of Mathematical Physics 13 (2006), 210-223.
-
(2006)
Russian Journal of Mathematical Physics
, vol.13
, pp. 210-223
-
-
Shtern, A.I.1
-
82
-
-
0032245438
-
On group topologies and unitary representations of inductive limits of topological groups and the case of the group of diffeomorphisms
-
N. Tatsuuma, H. Shimomura, and T. Hirai, On group topologies and unitary representations of inductive limits of topological groups and the case of the group of diffeomorphisms, Journal of Mathematics of Kyoto University 38 (1998), 551-578.
-
(1998)
Journal of Mathematics of Kyoto University
, vol.38
, pp. 551-578
-
-
Tatsuuma, N.1
Shimomura, H.2
Hirai, T.3
-
83
-
-
33750364237
-
Groupes semi-simples isotropes
-
Louvain, Gauthier-Villars, Paris: Librairie Universitaire
-
J. Tits, Groupes semi-simples isotropes, in Colloque sur la théorie des groupes algébriques (Bruxelles, 1962), Librairie Universitaire, Louvain, Gauthier-Villars, Paris, 1962, pp. 137-146.
-
(1962)
Colloque Sur La théorie Des Groupes algébriques (Bruxelles, 1962)
, pp. 137-146
-
-
Tits, J.1
-
86
-
-
0000343919
-
Uniqueness and presentation of Kac-Moody groups over fields
-
J. Tits, Uniqueness and presentation of Kac-Moody groups over fields, Journal of Algebra 105 (1987), 542-573.
-
(1987)
Journal of Algebra
, vol.105
, pp. 542-573
-
-
Tits, J.1
-
87
-
-
84871130556
-
-
J. Tits, Résumé de cours, in Annuaire du Coll'ege de France, 89e année, 1989-1990, 1990 pp. 87-103.
-
-
-
-
88
-
-
0007466246
-
-
M. W. Liebeck and J. Saxl (Eds.), Cambridge: Cambridge University Press
-
J. Tits, Twin buildings and groups of Kac-Moody type, Groups, Combinatorics and Geometry, (M. W. Liebeck and J. Saxl eds.), Cambridge University Press, Cambridge, 1992, pp. 249-286.
-
(1992)
Twin Buildings and Groups of Kac-Moody Type, Groups, Combinatorics and Geometry
, pp. 249-286
-
-
Tits, J.1
|