-
1
-
-
0040843697
-
Modular invariants, graphs and α-induction for nets of subfactors
-
Böckenhauer, J., Evans, D.E.: Modular invariants, graphs and α-induction for nets of subfactors, I. Commun. Math. Phys. 197, 361-386 (1998)
-
(1998)
I. Commun. Math. Phys.
, vol.197
, pp. 361-386
-
-
Böckenhauer, J.1
Evans, D.E.2
-
2
-
-
0033426341
-
Modular invariants, graphs and α-induction for nets of subfactors, II
-
Böckenhauer, J., Evans, D.E.: Modular invariants, graphs and α-induction for nets of subfactors, II. Commun. Math. Phys. 200, 57-103 (1999)
-
(1999)
Commun. Math. Phys.
, vol.200
, pp. 57-103
-
-
Böckenhauer, J.1
Evans, D.E.2
-
3
-
-
0033174168
-
Modular invariants, graphs and α-induction for nets of subfactors, III
-
Böckenhauer, J., Evans, D.E.: Modular invariants, graphs and α-induction for nets of subfactors, III. Commun. Math. Phys. 205, 183-228 (1999)
-
(1999)
Commun. Math. Phys.
, vol.205
, pp. 183-228
-
-
Böckenhauer, J.1
Evans, D.E.2
-
4
-
-
0034259847
-
Modular invariants from subfactors; Type I coupling matrices and intermediate subfactors
-
Böckenhauer, J., Evans, D.E.: Modular invariants from subfactors; Type I coupling matrices and intermediate subfactors. Commun. Math. Phys. 213, 267-289 (2000)
-
(2000)
Commun. Math. Phys.
, vol.213
, pp. 267-289
-
-
Böckenhauer, J.1
Evans, D.E.2
-
5
-
-
4244056398
-
Modular invariants from subfactors
-
Quantum Symmetries in Theoretical Physics and Mathematics (Bariloche), Providence, RI: Amer. Math. Soc.
-
Böckenhauer, J. Evans, D.E.: Modular invariants from subfactors. In: Quantum Symmetries in Theoretical Physics and Mathematics (Bariloche, 2000), Contemp. Math., 294, Providence, RI: Amer. Math. Soc., 2002, pp. 95-131
-
(2000)
Contemp. Math.
, vol.294
, pp. 95-131
-
-
Böckenhauer, J.1
Evans, D.E.2
-
6
-
-
0010808688
-
Modular invariants and subfactors
-
Mathematical physics in mathematics and physics (Siena) Providence, RI: Amer. Math. Soc.
-
Böckenhauer, J., Evans, D.E.: Modular invariants and subfactors. Mathematical physics in mathematics and physics (Siena, 2000), Fields Inst. Commun. 30, Providence, RI: Amer. Math. Soc., 2001. pp. 11-37
-
(2000)
Fields Inst. Commun.
, vol.30
, pp. 11-37
-
-
Böckenhauer, J.1
Evans, D.E.2
-
7
-
-
0033235137
-
On α-induction, chiral generators and modular invariants for subfactors
-
Böckenhauer, J., Evans, D.E., Kawahigashi, Y.: On α-induction, chiral generators and modular invariants for subfactors. Commun. Math. Phys. 208, 429-87 (1999)
-
(1999)
Commun. Math. Phys.
, vol.208
, pp. 429-487
-
-
Böckenhauer, J.1
Evans, D.E.2
Kawahigashi, Y.3
-
8
-
-
0034349894
-
Chiral structure of modular invariants for subfactors
-
Böckenhauer, J., Evans, D.E., Kawahigashi, Y.: Chiral structure of modular invariants for subfactors. Commun. Math. Phys. 210, 733-784 (2000)
-
(2000)
Commun. Math. Phys.
, vol.210
, pp. 733-784
-
-
Böckenhauer, J.1
Evans, D.E.2
Kawahigashi, Y.3
-
9
-
-
4244165578
-
-
Publ. RIMS. Kyoto Univ.
-
Böckenhauer, J., Evans, D.E., Kawahigashi, Y: Longo-Rehren subfactors arising from α-induction. Publ. RIMS. Kyoto Univ. 37, 1-35 (2001)
-
(2001)
Longo-Rehren Subfactors Arising from α-Induction
, vol.37
, pp. 1-35
-
-
Böckenhauer, J.1
Evans, D.E.2
Kawahigashi, Y.3
-
11
-
-
24544453124
-
Fusion rules and the Verlinde formula
-
Cardy, J.: Fusion rules and the Verlinde formula. Nucl. Phys. B 324, 581-596 (1989)
-
(1989)
Nucl. Phys. B
, vol.324
, pp. 581-596
-
-
Cardy, J.1
-
12
-
-
0002179940
-
Classification of injective factors
-
Connes, A.: Classification of injective factors. Ann. Math. 104, 73-115 (1976)
-
(1976)
Ann. Math.
, vol.104
, pp. 73-115
-
-
Connes, A.1
-
14
-
-
0008681221
-
Finite group modular data
-
Coste, A., Gannon, T., Philippe, R.: Finite group modular data. Nucl. Phys. B 581, 679-717 (2000)
-
(2000)
Nucl. Phys. B
, vol.581
, pp. 679-717
-
-
Coste, A.1
Gannon, T.2
Philippe, R.3
-
15
-
-
33744767975
-
The operator algebra of orbifold models
-
Dijkgraaf, R., Cumrun, V., Verlinde, E., Verlinde, H.: The operator algebra of orbifold models. Commun. Math. Phys. 123, 485-526 (1989)
-
(1989)
Commun. Math. Phys.
, vol.123
, pp. 485-526
-
-
Dijkgraaf, R.1
Cumrun, V.2
Verlinde, E.3
Verlinde, H.4
-
16
-
-
0002331961
-
Fields, observables and gauge transformations, II
-
Doplicher, S., Haag, R., Roberts. J.E.: Fields, observables and gauge transformations, II. Commun. Math. Phys. 15, 173-200 (1969)
-
(1969)
Commun. Math. Phys.
, vol.15
, pp. 173-200
-
-
Doplicher, S.1
Haag, R.2
Roberts, J.E.3
-
17
-
-
0036660472
-
Fusion rules of modular invariants
-
Evans, D.E.: Fusion rules of modular invariants. Rev. Math. Phys. 14, 709-732 (2002)
-
(2002)
Rev. Math. Phys.
, vol.14
, pp. 709-732
-
-
Evans, D.E.1
-
18
-
-
0038444507
-
Critical phenomena, modular invariants and operator algebras
-
(Constanţa) J. Cuntz, G.A. Elliott, S. Stratila et al., eds., Bucharest: The Theta Foundation
-
Evans, D.E.: Critical phenomena, modular invariants and operator algebras. In: Operator Algebras and Mathematical Physics, (Constanţa 2001) J. Cuntz, G.A. Elliott, S. Stratila et al., eds., Bucharest: The Theta Foundation, 2003
-
(2001)
Operator Algebras and Mathematical Physics
-
-
Evans, D.E.1
-
20
-
-
33846831566
-
Modular invariants and their fusion rules
-
Mount Holyoke, Contemp. Math., Providence, RI: Amer. Math. Soc., to appear
-
Evans, D.E., Pinto, P.R.: Modular invariants and their fusion rules. In: Advances in Quantum Dynamics (Mount Holyoke, 2002), Contemp. Math., Providence, RI: Amer. Math. Soc., to appear
-
(2002)
Advances in Quantum Dynamics
-
-
Evans, D.E.1
Pinto, P.R.2
-
24
-
-
13544257686
-
SU(N) lattice integrable models associated with graphs
-
di Francesco, P., Zuber, J.B.: SU(N) lattice integrable models associated with graphs. Nucl. Phys. B 338. 602-646(1990)
-
(1990)
Nucl. Phys. B
, vol.338
, pp. 602-646
-
-
Di Francesco, P.1
Zuber, J.B.2
-
25
-
-
0003638140
-
-
Berlin: Springer-Verlag
-
Fröhlich, J., Kerler, T.: Quantum Groups, Quantum Categories and Quantum Field Theory. Lecture Notes in Mathematics, 1542. Berlin: Springer-Verlag, 1993
-
(1993)
Quantum Groups, Quantum Categories and Quantum Field Theory. Lecture Notes in Mathematics
, vol.1542
-
-
Fröhlich, J.1
Kerler, T.2
-
27
-
-
0037089993
-
Boundary conformal field theory and fusion ring representations
-
Gannon, T.: Boundary conformal field theory and fusion ring representations. Nucl. Phys. B 627, 506-564(2002)
-
(2002)
Nucl. Phys. B
, vol.627
, pp. 506-564
-
-
Gannon, T.1
-
28
-
-
0038444504
-
-
Private communication
-
Gannon, T.: Private communication
-
-
-
Gannon, T.1
-
29
-
-
0003760179
-
-
MSRI Publication, Nr 14
-
Goodman, P.M., de la Harpe, P., Jones, V.F.R.: Coxeter graphs and towers of algebras. MSRI Publication, Nr 14, 1989
-
(1989)
Coxeter Graphs and Towers of Algebras
-
-
Goodman, P.M.1
De la Harpe, P.2
Jones, V.F.R.3
-
30
-
-
0000292843
-
Subalgebras of infinite C*-algebras with finite Watatani indices, II. Cuntz-Krieger algebras
-
Izumi, M.: Subalgebras of infinite C*-algebras with finite Watatani indices, II. Cuntz-Krieger algebras. Duke Math. J. 91, 409-461 (1998)
-
(1998)
Duke Math. J.
, vol.91
, pp. 409-461
-
-
Izumi, M.1
-
31
-
-
0034259892
-
The structure of sectors associated with Longo-Rehren inclusions, I. General theory
-
Izumi, M.: The structure of sectors associated with Longo-Rehren inclusions, I. General theory. Commun. Math. Phys. 213, 127-179 (2000)
-
(2000)
Commun. Math. Phys.
, vol.213
, pp. 127-179
-
-
Izumi, M.1
-
32
-
-
0035626715
-
The structure of sectors associated with Longo-Rehren inclusions, II
-
Izumi, M.: The structure of sectors associated with Longo-Rehren inclusions, II. Examples. Rev. Math. Phys. 13, 603-674 (2001)
-
(2001)
Examples. Rev. Math. Phys.
, vol.13
, pp. 603-674
-
-
Izumi, M.1
-
34
-
-
0010806038
-
Index for subfactors
-
Jones, V.F.R.: Index for subfactors. Invent. Math. 72, 1-25 (1983)
-
(1983)
Invent. Math.
, vol.72
, pp. 1-25
-
-
Jones, V.F.R.1
-
37
-
-
0001551345
-
Irreducible bimodules associated with crossed product algebras
-
Kosaki, H., Munemasa, A., Yamagami, S.: Irreducible bimodules associated with crossed product algebras. Internat. J. Math. 3, 661-676 (1992)
-
(1992)
Internat. J. Math.
, vol.3
, pp. 661-676
-
-
Kosaki, H.1
Munemasa, A.2
Yamagami, S.3
-
38
-
-
0010783176
-
On fusion algebras associated to finite group actions
-
Kosaki, H., Munemasa, A., Yamagami, S.: On fusion algebras associated to finite group actions. Pacific J. Math. 177, 269-290 (1997)
-
(1997)
Pacific J. Math.
, vol.177
, pp. 269-290
-
-
Kosaki, H.1
Munemasa, A.2
Yamagami, S.3
-
39
-
-
51249174399
-
Index of subfactors and statistics of quantum fields, II
-
Longo, R.: Index of subfactors and statistics of quantum fields, II. Commun. Math. Phys. 130, 285-309 (1990)
-
(1990)
Commun. Math. Phys.
, vol.130
, pp. 285-309
-
-
Longo, R.1
-
40
-
-
21344494979
-
Duality for Hopf algebras and for subfactors, I
-
Longo, R.: Duality for Hopf algebras and for subfactors, I. Commun. Math. Phys. 159, 133-150 (1994)
-
(1994)
Commun. Math. Phys.
, vol.159
, pp. 133-150
-
-
Longo, R.1
-
42
-
-
0031287767
-
An analogue of Longo's canonical endomorphism for bimodule theory and its application to asymptotic inclusions
-
Masuda, T.: An analogue of Longo's canonical endomorphism for bimodule theory and its application to asymptotic inclusions. Internat. J. Math. 8, 249-265 (1997)
-
(1997)
Internat. J. Math.
, vol.8
, pp. 249-265
-
-
Masuda, T.1
-
45
-
-
0001697139
-
Paths on Coxeter diagrams: From Platonic solids and singularities to minimal models and subfactors
-
Rajarama Bhat, B.V. et al., eds. (Notes recorded by S. Goto), The Fields Institute Monographs, Providence, RI: Amer. Math. Soc., Publications
-
Ocneanu, A.: Paths on Coxeter diagrams: From Platonic solids and singularities to minimal models and subfactors. In: Lectures on Operator Theory. Rajarama Bhat, B.V. et al., eds. (Notes recorded by S. Goto), The Fields Institute Monographs, Providence, RI: Amer. Math. Soc., Publications, 2000, pp. 243-323
-
(2000)
Lectures on Operator Theory
, pp. 243-323
-
-
Ocneanu, A.1
-
46
-
-
0037538026
-
The classification of subgroups of quantum SU(N)
-
Quantum Symmetries in Theoretical Physics and Mathematics (Bariloche) 294, Providence, RI: Amer. Math. Soc.
-
Ocneanu, A.: The classification of subgroups of quantum SU(N). In: Quantum Symmetries in Theoretical Physics and Mathematics (Bariloche, 2000), Contemp. Math., 294, Providence, RI: Amer. Math. Soc., 2002, pp. 133-159
-
(2000)
Contemp. Math.
, vol.294
, pp. 133-159
-
-
Ocneanu, A.1
-
48
-
-
0038457662
-
Module categories over the Drinfeld double of a finite group
-
Preprint math.QA/0202130
-
Ostrik, V.: Module categories over the Drinfeld double of a finite group. Inter. Math. Research Notices 27, 1507-1520 (2003), Preprint math.QA/0202130
-
(2003)
Inter. Math. Research Notices
, vol.27
, pp. 1507-1520
-
-
Ostrik, V.1
-
49
-
-
0035844785
-
The many faces of Ocneanu cells
-
Petkova, V.B., Zuber, J.B.: The many faces of Ocneanu cells. Nucl. Phys. B 603, 449-496 (2001)
-
(2001)
Nucl. Phys. B
, vol.603
, pp. 449-496
-
-
Petkova, V.B.1
Zuber, J.B.2
-
51
-
-
0002286501
-
Braid group statistics and their superselection rules
-
Palermo, Singapore: World Scientific
-
Rehren, K.-H.: Braid group statistics and their superselection rules. In: The Algebraic Theory of Superselection Sectors (Palermo, 1989), Singapore: World Scientific, 1990, pp. 333-355
-
(1989)
The Algebraic Theory of Superselection Sectors
, pp. 333-355
-
-
Rehren, K.-H.1
-
52
-
-
0000483043
-
Space-time fields and exchange fields
-
Rehren, K.-H.: Space-time fields and exchange fields. Commun. Math. Phys. 132, 461-483 (1990)
-
(1990)
Commun. Math. Phys.
, vol.132
, pp. 461-483
-
-
Rehren, K.-H.1
-
53
-
-
0034349004
-
Canonical tensor product subfactors
-
Rehren, K.-H.: Canonical tensor product subfactors. Commun. Math. Phys. 211, 395-406 (2000)
-
(2000)
Commun. Math. Phys.
, vol.211
, pp. 395-406
-
-
Rehren, K.-H.1
-
54
-
-
0002045461
-
Field identification fixed points in the coset construction
-
Schellekens, A.N., Yankielowicz, S.: Field identification fixed points in the coset construction. Nucl. Phys. B 334, 67-102 (1990)
-
(1990)
Nucl. Phys. B
, vol.334
, pp. 67-102
-
-
Schellekens, A.N.1
Yankielowicz, S.2
-
56
-
-
0003252570
-
Quantum invariants of knots and 3-manifolds
-
Berlin: Walter de Gruyter
-
Turaev, V.G.: Quantum invariants of knots and 3-manifolds. In: de Gruyter Studies in Mathematics. Vol. 18. Berlin: Walter de Gruyter, 1994
-
(1994)
De Gruyter Studies in Mathematics
, vol.18
-
-
Turaev, V.G.1
-
57
-
-
0001563052
-
New exceptional modular invariants partition functions for simple Kac-Moody algebras
-
Verstegen, D.: New exceptional modular invariants partition functions for simple Kac-Moody algebras. Nucl. Phys. B 346, 349-386 (1990)
-
(1990)
Nucl. Phys. B
, vol.346
, pp. 349-386
-
-
Verstegen, D.1
-
58
-
-
45549111952
-
Fusion rules and modular transformations in 2D conformal field theory
-
Verlinde, E.: Fusion rules and modular transformations in 2D conformal field theory. Nucl. Phys. B 300, 360-376 (1988)
-
(1988)
Nucl. Phys. B
, vol.300
, pp. 360-376
-
-
Verlinde, E.1
-
59
-
-
0032344404
-
Operator algebras and conformal field theory III: Fusion of positive representations of LSU(n) using bounded operators
-
Wassermann, A.: Operator algebras and conformal field theory III: Fusion of positive representations of LSU(n) using bounded operators. Invent. Math. 133, 467-538 (1998)
-
(1998)
Invent. Math.
, vol.133
, pp. 467-538
-
-
Wassermann, A.1
-
61
-
-
0032394340
-
New braided endomorphisms from conformal inclusions
-
Xu, F.: New braided endomorphisms from conformal inclusions. Commun. Math. Phys. 192, 349-403 (1998)
-
(1998)
Commun. Math. Phys.
, vol.192
, pp. 349-403
-
-
Xu, F.1
|