-
2
-
-
0030528385
-
Koszul duality patterns in representation theory
-
[BGS]. MR 96k:17010
-
[BGS] A. Beilinson, V. Ginzburg and W. Soergel, Koszul duality patterns in representation theory, J. Amer. Math. Soc. 9 (1996), 473-527. MR 96k:17010
-
(1996)
J. Amer. Math. Soc.
, vol.9
, pp. 473-527
-
-
Beilinson, A.1
Ginzburg, V.2
Soergel, W.3
-
3
-
-
0001955049
-
Hook Young diagrams with applications to combinatorics and to representations of Lie superalgebras
-
[BR]. MR 881:20006
-
[BR] A. Berele and A. Regev, Hook Young diagrams with applications to combinatorics and to representations of Lie superalgebras. Advances Math. 64 (1987), 118-175. MR 881:20006
-
(1987)
Advances Math.
, vol.64
, pp. 118-175
-
-
Berele, A.1
Regev, A.2
-
5
-
-
0000704257
-
Character formulae for irreducible representations of Lie superalgebras of series gl and sl
-
[BL]. MR 82j:17020a
-
[BL] J. Bernstein and D. Leites, Character formulae for irreducible representations of Lie superalgebras of series gl and sl, C. R. Acad. Bulg. Sci. 33 (1980), 1049-1051. MR 82j:17020a
-
(1980)
C. R. Acad. Bulg. Sci.
, vol.33
, pp. 1049-1051
-
-
Bernstein, J.1
Leites, D.2
-
7
-
-
0000183764
-
Modular branching rules and the Mullineux map for Hecke algebras of type A
-
[B1]. MR 2000d:20007
-
[B1] J. Brundan, Modular branching rules and the Mullineux map for Hecke algebras of type A, Proc. London Math. Soc. 77 (1998), 551-581. MR 2000d:20007
-
(1998)
Proc. London Math. Soc.
, vol.77
, pp. 551-581
-
-
Brundan, J.1
-
8
-
-
0012894665
-
-
[B2], preprint, University of Oregon, available from
-
[B2] J. Brundan, Tilting modules for Lie superalgebras, preprint, University of Oregon, 2002, available from http://darkwing.uoregon.edu/̃brundan/research.html.
-
(2002)
Tilting Modules for Lie Superalgebras
-
-
Brundan, J.1
-
11
-
-
0001028633
-
Kazhdan-Lusztig conjecture and holonomic systems
-
[BrK]. MR 83e:22020
-
[BrK] J. L. Brylinksi and M. Kashiwara, Kazhdan-Lusztig conjecture and holonomic systems, Invent. Math. 64 (1981), 387-410. MR 83e:22020
-
(1981)
Invent. Math.
, vol.64
, pp. 387-410
-
-
Brylinksi, J.L.1
Kashiwara, M.2
-
12
-
-
84942964111
-
Finite dimensional algebras and highest weight categories
-
[CPS1]. MR 90d:18005
-
[CPS1] E. Cline, B. Parshall and L. Scott, Finite dimensional algebras and highest weight categories, J. reine angew. Math. 391 (1988), 85-99. MR 90d:18005
-
(1988)
J. Reine Angew. Math.
, vol.391
, pp. 85-99
-
-
Cline, E.1
Parshall, B.2
Scott, L.3
-
13
-
-
0003022577
-
Duality in highest weight categories
-
[CPS2]. MR 90g:17014
-
[CPS2] E. Cline, B. Parshall and L. Scott, Duality in highest weight categories, Contemp. Math. 82 (1989), 7-22. MR 90g:17014
-
(1989)
Contemp. Math.
, vol.82
, pp. 7-22
-
-
Cline, E.1
Parshall, B.2
Scott, L.3
-
14
-
-
84972506255
-
Abstract Kazhdan-Lusztig theories
-
[CPS3]. MR 94k:20079
-
[CPS3] E. Cline, B. Parshall and L. Scott, Abstract Kazhdan-Lusztig theories, Tohoku Math. J. 45 (1993), 511-534. MR 94k:20079
-
(1993)
Tohoku Math. J.
, vol.45
, pp. 511-534
-
-
Cline, E.1
Parshall, B.2
Scott, L.3
-
15
-
-
0002379137
-
Infinitesimal Kazhdan-Lusztig theories
-
[CPS4]. MR 93j:20089
-
[CPS4] E. Cline, B. Parshall and L. Scott, Infinitesimal Kazhdan-Lusztig theories, Contemp. Math. 139 (1992), 43-73. MR 93j:20089
-
(1992)
Contemp. Math.
, vol.139
, pp. 43-73
-
-
Cline, E.1
Parshall, B.2
Scott, L.3
-
16
-
-
0000890216
-
On some geometric aspects of Bruhat orderings II: The parabolic analogue of Kazhdan-Lusztig polynomials
-
[Deo]. MR 89a:20054
-
[Deo] V. Deodhar, On some geometric aspects of Bruhat orderings II: the parabolic analogue of Kazhdan-Lusztig polynomials, J. Algebra 111 (1987), 483-506. MR 89a:20054
-
(1987)
J. Algebra
, vol.111
, pp. 483-506
-
-
Deodhar, V.1
-
17
-
-
0003349885
-
Enveloping algebras
-
[Dix], Amer. Math. Soc. MR 97c:17010
-
[Dix] J. Dixmier, Enveloping algebras, Graduate Studies in Math. 11, Amer. Math. Soc., 1996. MR 97c:17010
-
(1996)
Graduate Studies in Math.
, vol.11
-
-
Dixmier, J.1
-
18
-
-
0000654309
-
IC bases and quantum linear groups
-
[D1], Part 2. MR 95d:17010
-
[D1] J. Du, IC bases and quantum linear groups, Proc. Symp. Pure Math. 56 (1994), Part 2, 135-148. MR 95d:17010
-
(1994)
Proc. Symp. Pure Math.
, vol.56
, pp. 135-148
-
-
Du, J.1
-
19
-
-
0000802226
-
A note on quantized Weyl reciprocity at roots of unity
-
[D2]. MR 96m:17024
-
[D2] J. Du, A note on quantized Weyl reciprocity at roots of unity, Alg. Colloq. 2 (1995), 363-372. MR 96m:17024
-
(1995)
Alg. Colloq.
, vol.2
, pp. 363-372
-
-
Du, J.1
-
20
-
-
0032282754
-
Kazhdan-Lusztig polynomials and canonical basis
-
[FKK]. MR 2000f:20071
-
[FKK] I. B. Frenkel, M. Khovanov and A. A. Kirillov, Jr., Kazhdan-Lusztig polynomials and canonical basis, Transform. Groups 3 (1998), 321-336. MR 2000f:20071
-
(1998)
Transform. Groups
, vol.3
, pp. 321-336
-
-
Frenkel, I.B.1
Khovanov, M.2
Kirillov A.A., Jr.3
-
21
-
-
0001085176
-
On the composition factors of Kac modules for the Lie superalgebra sl(m|n)
-
[HKJ]. MR 93a:17003
-
[HKJ] J. W. B. Hughes, R. C. King and J. van der Jeugt. On the composition factors of Kac modules for the Lie superalgebra sl(m|n), J. Math. Phys. 33 (1992), 470-491. MR 93a:17003
-
(1992)
J. Math. Phys.
, vol.33
, pp. 470-491
-
-
Hughes, J.W.B.1
King, R.C.2
Van der Jeugt, J.3
-
22
-
-
0003516801
-
Moduln mit einem höchsten Gewicht
-
[J1], no. 750. Springer-Verlag. MR 81m:17011
-
[J1] J. C. Jantzen, Moduln mit einem höchsten Gewicht, Lecture Notes in Math. no. 750. Springer-Verlag, 1983. MR 81m:17011
-
(1983)
Lecture Notes in Math.
-
-
Jantzen, J.C.1
-
24
-
-
0001488894
-
Character formulas for irreducible modules of the Lie superalgebra sl(m|n)
-
[JHKT1]. MR 92b:17049
-
[JHKT1] J. van der Jeugt, J. W. B. Hughes, R. C. King and J. Thierry-Mieg, Character formulas for irreducible modules of the Lie superalgebra sl(m|n), J. Math. Phys. 31 (1990), 2278-2304. MR 92b:17049
-
(1990)
J. Math. Phys.
, vol.31
, pp. 2278-2304
-
-
Van der Jeugt, J.1
Hughes, J.W.B.2
King, R.C.3
Thierry-Mieg, J.4
-
25
-
-
84952411962
-
A character formula for singly atypical modules of the Lie superalgebra sl(m|n)
-
[JHKT2]. MR 91j:17046
-
[JHKT2] J. van der Jeugt, J. W. B. Hughes, R. C. King and J. Thierry-Mieg, A character formula for singly atypical modules of the Lie superalgebra sl(m|n), Commun. Alg. 18 (1990), 3453-3480. MR 91j:17046
-
(1990)
Commun. Alg.
, vol.18
, pp. 3453-3480
-
-
Van der Jeugt, J.1
Hughes, J.W.B.2
King, R.C.3
Thierry-Mieg, J.4
-
26
-
-
0012864788
-
Characters and composition factor multiplicities for the Lie superalgebra gl(m|n)
-
[JZ]. MR 2000a:17008
-
[JZ] J. van der Jeugt and R. B. Zhang, Characters and composition factor multiplicities for the Lie superalgebra gl(m|n), Lett. Math. Phys. 47 (1999), 49-61. MR 2000a:17008
-
(1999)
Lett. Math. Phys.
, vol.47
, pp. 49-61
-
-
Van der Jeugt, J.1
Zhang, R.B.2
-
27
-
-
49449126179
-
Lie superalgebras
-
[Ka1]. MR 58:5803
-
[Ka1] V. Kac, Lie superalgebras, Advances in Math. 26 (1977), 8-96. MR 58:5803
-
(1977)
Advances in Math.
, vol.26
, pp. 8-96
-
-
Kac, V.1
-
28
-
-
84963253630
-
Characters of typical representations of classical Lie superalgebras
-
[Ka2]. MR 56:3075
-
[Ka2] V. Kac, Characters of typical representations of classical Lie superalgebras, Commun. in Algebra 5 (8) (1977), 889-897. MR 56:3075
-
(1977)
Commun. in Algebra
, vol.5
, Issue.8
, pp. 889-897
-
-
Kac, V.1
-
29
-
-
0001117173
-
Representations of classical Lie superalgebras
-
[Ka3], "Differential geometrical methods in mathematical physics II", Springer-Verlag, Berlin. MR 80f:17006
-
[Ka3] V. Kac, Representations of classical Lie superalgebras, in: "Differential geometrical methods in mathematical physics II", Lecture Notes in Math. no. 676, pp. 597-626, Springer-Verlag, Berlin, 1978. MR 80f:17006
-
(1978)
Lecture Notes in Math.
, vol.676
, pp. 597-626
-
-
Kac, V.1
-
30
-
-
0000192792
-
Integrable highest weight modules over affine superalgebras and number theory
-
[KaW]. MR 96j:11056
-
[KaW] V. Kac and M. Wakimoto, Integrable highest weight modules over affine superalgebras and number theory, Progress Math. 123 (1994), 415-456. MR 96j:11056
-
(1994)
Progress Math.
, vol.123
, pp. 415-456
-
-
Kac, V.1
Wakimoto, M.2
-
31
-
-
84974004410
-
Global crystal bases of quantum groups
-
[K1]. MR 94b:17024
-
[K1] M. Kashiwara, Global crystal bases of quantum groups, Duke Math. J. 69 (1993), 455-485. MR 94b:17024
-
(1993)
Duke Math. J.
, vol.69
, pp. 455-485
-
-
Kashiwara, M.1
-
32
-
-
0000288586
-
On crystal bases
-
[K2]. MR 97a:17016
-
[K2] M. Kashiwara, On crystal bases, Proc. Canadian Math. Soc. 16 (1995), 155-196. MR 97a:17016
-
(1995)
Proc. Canadian Math. Soc.
, vol.16
, pp. 155-196
-
-
Kashiwara, M.1
-
33
-
-
34250264460
-
Representations of Coxeter groups and Hecke algebras
-
[KL]. MR 81j:20066
-
[KL] D. Kazhdan and G. Lusztig, Representations of Coxeter groups and Hecke algebras, Invent. Math. 53 (1979), 165-184. MR 81j:20066
-
(1979)
Invent. Math.
, vol.53
, pp. 165-184
-
-
Kazhdan, D.1
Lusztig, G.2
-
34
-
-
0000453228
-
Branching rules for modular representations of symmetric groups, II
-
[Kv]. MR 96m:20019
-
[Kv] A. Kleshchev, Branching rules for modular representations of symmetric groups, II, J. reine angew. Math. 459 (1995), 163-212. MR 96m:20019
-
(1995)
J. Reine Angew. Math.
, vol.459
, pp. 163-212
-
-
Kleshchev, A.1
-
36
-
-
0001386626
-
Hecke algebras at roots of unity and crystal bases of quantum affine algebras
-
[LLT]. MR 97k:17019
-
[LLT] A. Lascoux, B. Leclerc and J.-Y. Thibon, Hecke algebras at roots of unity and crystal bases of quantum affine algebras, Comm. Math. Phys. 181 (1996), 205-263. MR 97k:17019
-
(1996)
Comm. Math. Phys.
, vol.181
, pp. 205-263
-
-
Lascoux, A.1
Leclerc, B.2
Thibon, J.-Y.3
-
37
-
-
0003361511
-
Introduction to quantum groups
-
[L], Birkhäuser. MR 94m:17016
-
[L] G. Lusztig, Introduction to quantum groups, Progress in Math. 110, Birkhäuser, 1993. MR 94m:17016
-
(1993)
Progress in Math.
, vol.110
-
-
Lusztig, G.1
-
40
-
-
0001635024
-
Representations of classical Lie superalgebras of type I
-
[PS1]. MR 93k:17006
-
[PS1] I. Penkov and V. Serganova, Representations of classical Lie superalgebras of type I, Indag. Math. (N. S.) 3 (1992), 419-466. MR 93k:17006
-
(1992)
Indag. Math. (N. S.)
, vol.3
, pp. 419-466
-
-
Penkov, I.1
Serganova, V.2
-
41
-
-
0000493643
-
Generic irreducible representations of finite dimensional Lie superalgebras
-
[PS2]. MR 95c:17015
-
[PS2] I. Penkov and V. Serganova, Generic irreducible representations of finite dimensional Lie superalgebras, Internat. J. Math. 5 (1994), 389-419. MR 95c:17015
-
(1994)
Internat. J. Math.
, vol.5
, pp. 389-419
-
-
Penkov, I.1
Serganova, V.2
-
43
-
-
0001427438
-
Kazhdan-Lusztig polynomials for the Lie superalgebra GL(m|n)
-
[S2]. MR 94k:17005
-
[S2] V. Serganova, Kazhdan-Lusztig polynomials for the Lie superalgebra GL(m|n), Adv. Sov. Math. 16 (1993), 151-165. MR 94k:17005
-
(1993)
Adv. Sov. Math.
, vol.16
, pp. 151-165
-
-
Serganova, V.1
-
44
-
-
0012864790
-
Kazhdan-Lusztig polynomials and character formula for the Lie superalgebra gl(m|n)
-
[S3]. MR 98f:17007
-
[S3] V. Serganova, Kazhdan-Lusztig polynomials and character formula for the Lie superalgebra gl(m|n), Selecta Math. 2 (1996), 607-651. MR 98f:17007
-
(1996)
Selecta Math.
, vol.2
, pp. 607-651
-
-
Serganova, V.1
-
45
-
-
84954069421
-
Tensor algebra of the identity representation as a module over the Lie superalgebras GL(n, m) and Q(n)
-
[Sg1]. MR 85h:17010
-
[Sg1] A. Sergeev, Tensor algebra of the identity representation as a module over the Lie superalgebras GL(n, m) and Q(n), Math. USSR Sbornik 51 (1985), 419-427. MR 85h:17010
-
(1985)
Math. USSR Sbornik
, vol.51
, pp. 419-427
-
-
Sergeev, A.1
-
47
-
-
85009742776
-
The invariant polynomials on simple Lie superalgebras
-
[Sg3]. MR 2000k:17012
-
[Sg3] A. Sergeev, The invariant polynomials on simple Lie superalgebras, Represent. Theory 3 (1999), 250-280. MR 2000k:17012
-
(1999)
Represent. Theory
, vol.3
, pp. 250-280
-
-
Sergeev, A.1
-
48
-
-
85009830213
-
Kazhdan-Lusztig polynomials and a combinatoric for tilting modules
-
[So1]. MR 98d:17026
-
[So1] W. Soergel, Kazhdan-Lusztig polynomials and a combinatoric for tilting modules, Represent. Theory 1 (1997), 83-114. MR 98d:17026
-
(1997)
Represent. Theory
, vol.1
, pp. 83-114
-
-
Soergel, W.1
-
49
-
-
85009738227
-
Character formulas for tilting modules over Kac-Moody algebras
-
[So2]. MR 2000c:17048
-
[So2] W. Soergel, Character formulas for tilting modules over Kac-Moody algebras, Represent. Theory 2 (1998), 432-448. MR 2000c:17048
-
(1998)
Represent. Theory
, vol.2
, pp. 432-448
-
-
Soergel, W.1
-
50
-
-
84972566379
-
Irreducible representations of semisimple Lie groups II: The Kazhdan-Lusztig conjectures
-
[V]. MR 81f:22024
-
[V] D. Vogan, Irreducible representations of semisimple Lie groups II: the Kazhdan-Lusztig conjectures, Duke Math. J. 46 (1979), 805-859. MR 81f:22024
-
(1979)
Duke Math. J.
, vol.46
, pp. 805-859
-
-
Vogan, D.1
-
52
-
-
0030094242
-
Categories of finite dimensional weight modules over type I classical Lie superalgebras
-
[Z]. MR 97e:17012
-
[Z] Y. M. Zou, Categories of finite dimensional weight modules over type I classical Lie superalgebras, J. Algebra 180 (1996), 459-482. MR 97e:17012
-
(1996)
J. Algebra
, vol.180
, pp. 459-482
-
-
Zou, Y.M.1
|