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Tensor structures arising from affine Lie algebras. III
Authors:
D. Kazhdan and G. Lusztig
Journal:
J. Amer. Math. Soc. 7 (1994), 335-381
MSC:
Primary 17B67
Part I:
J. Amer. Math. Soc. (1993), 905-947
Part II:
J. Amer. Math. Soc. (1993), 949-1011
Part IV:
J. Amer. Math. Soc. (1994), 383-453>
MathSciNet review:
1239506
Full-text PDF Free Access
References |
Similar Articles |
Additional Information
- [D1]
V.
G. Drinfel′d, Quantum groups, (Berkeley, Calif., 1986)
Amer. Math. Soc., Providence, RI, 1987, pp. 798–820. MR 934283
(89f:17017)
- [D2]
V.
G. Drinfel′d, Almost cocommutative Hopf algebras,
Algebra i Analiz 1 (1989), no. 2, 30–46
(Russian); English transl., Leningrad Math. J. 1 (1990),
no. 2, 321–342. MR 1025154
(91b:16046)
- [D3]
-, On quasitriangular quasi-Hopf algebras closely related to
, Algebra i Analiz 2 (1990), 149-181.
- [KL]
D.
Kazhdan and G.
Lusztig, Tensor structures arising from affine Lie algebras. I,
II, J. Amer. Math. Soc. 6 (1993), no. 4,
905–947, 949–1011. MR 1186962
(93m:17014), http://dx.doi.org/10.2307/2152745
- [KF]
Adolf
Kratzer and Walter
Franz, Transzendente Funktionen, Mathematik und ihre
Anwendungen in Physik und Technik, Reihe A, Bd. 28, Akademische
Verlagsgesellschaft Geest & Portig K.-G., Leipzig, 1960 (German). MR 0124531
(23 #A1843)
- [L1]
George
Lusztig, On a theorem of Benson and Curtis, J. Algebra
71 (1981), no. 2, 490–498. MR 630610
(83a:20053), http://dx.doi.org/10.1016/0021-8693(81)90188-5
- [L2]
G.
Lusztig, Quantum deformations of certain simple modules over
enveloping algebras, Adv. in Math. 70 (1988),
no. 2, 237–249. MR 954661
(89k:17029), http://dx.doi.org/10.1016/0001-8708(88)90056-4
- [L3]
George
Lusztig, Introduction to quantum groups, Progress in
Mathematics, vol. 110, Birkhäuser Boston Inc., Boston, MA, 1993.
MR
1227098 (94m:17016)
- [D1]
- V. G. Drinfeld, Quantum groups, Proc. Internat. Congr. Math. (Berkeley, 1986), Amer. Math. Soc., Providence, RI, 1987, pp. 798-820. MR 934283 (89f:17017)
- [D2]
- -, On almost cocommutative Hopf algebras, Algebra i Analiz 1 (1989), 30-46. MR 1025154 (91b:16046)
- [D3]
- -, On quasitriangular quasi-Hopf algebras closely related to
, Algebra i Analiz 2 (1990), 149-181.
- [KL]
- D. Kazhdan and G. Lusztig, Tensor structures arising from affine Lie algebras. I, II, J. Amer. Math. Soc. 6 (1993), 905-1011. MR 1186962 (93m:17014)
- [KF]
- A. Kratzer and W. Franz, Transzendente funktionen, Akademische Verlagsgesselschaft, Leipzig, 1960. MR 0124531 (23:A1843)
- [L1]
- G. Lusztig, On a theorem of Benson and Curtis, J. Algebra 71 (1981), 490-498. MR 630610 (83a:20053)
- [L2]
- -, Quantum deformations of certain simple modules over enveloping algebras, Adv. Math. 70 (1988), 237-249. MR 954661 (89k:17029)
- [L3]
- -, Introduction to quantum groups, Birkhäuser, Boston, 1993. MR 1227098 (94m:17016)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0894-0347-1994-1239506-X
PII:
S 0894-0347(1994)1239506-X
Article copyright:
© Copyright 1994 American Mathematical Society
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