Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
|
   
Mobile Device Pairing
Journal of the American Mathematical Society
Journal of the American Mathematical Society
ISSN 1088-6834(e) ISSN 0894-0347(p)

     

Canonical bases arising from quantized enveloping algebras

Author(s): G. Lusztig
Journal: J. Amer. Math. Soc. 3 (1990), 447-498.
MSC: Primary 17B35; Secondary 16A64
MathSciNet review: 1035415
Retrieve article in: PDF
This article is available free of charge

References | Similar articles | Additional information

References:

[BBD]
A.A. Beilinson, J. Bernstein, and P. Deligne, Faisceaux pervers, Astérisque no. 100, Soc. Math. France, Paris, 1982. MR 751966 (86g:32015)

[BZ]
A. D. Berenstein and A.V. Zelevinskii, Tensor product multiplicities and convex polytopes in partition spaces, J. Geom. Phys. (to appear). MR 1048510 (91k:17003)

[BGP]
I.N. Bernstein, I.M. Gelfand, and V.A. Ponomarev, Coxeter functors and Gabriel's theorem, Russian Math. Surveys 28 (1973), 17-32. MR 0393065 (52:13876)

[B]
N. Bourbaki, Groupes et algèbres de Lie, Hermann, Paris, 1968, Chapters 4-6. MR 0240238 (39:1590)

[DK]
C. De Concini and D. Kazhdan, Special bases for $ {S_N}$ and $             GL(n)$, Israel J. Math. 40 (1981), 275-290. MR 654583 (83h:14039)

[DL]
M. Dyer and G. Lusztig, Appendix to $ [{\text{L2}}]$, Geom. Dedicata (to appear).

[G]
P. Gabriel, Unzerlegbare darstellungen I, Manuscripta Math. 6 (1972), 71-103. MR 0332887 (48:11212)

[KL1]
D. Kazhdan and G. Lusztig, Representations of Coxeter groups and Hecke algebras, Invent. Math. 53 (1979), 165-184. MR 560412 (81j:20066)

[KL2]
-, Schubert varieties and Poincaré duality, Proc. Sympos. Pure Math., vol. 36, Amer. Math. Soc., Providence, RI, 1980, pp. 185-203. MR 573434 (84g:14054)

[L1]
G. Lusztig, Finite dimensional Hopf algebras arising from quantized universal enveloping algebras, J. Amer. Math. Soc. 3 (1990), 257-296. MR 1013053 (91e:17009)

[L2]
-, Quantum groups at roots of 1, Geom. Dedicata (to appear). MR 1066560 (91j:17018)

[L3]
-, Left cells in Weyl groups, Lie Group Representations. I, Lecture Notes in Math., vol. 1024, Springer-Verlag, 1983, pp. 99-111. MR 727851 (85f:20035)

[L4]
-, Green polynomials and singularities of unipotent classes, Adv. in Math. 42 (1981), 169-178. MR 641425 (83c:20059)

[R]
C. M. Ringel, Hall algebras and quantum groups, Invent. Math. (to appear). MR 1062796 (91i:16024)

[Z]
A.V. Zelevinskii, Two remarks on graded nilpotent classes, Russian Math. Surveys 40 (1985), 249-250. MR 783619 (86e:14027)

Similar Articles:

Retrieve articles in Journal of the American Mathematical Society with MSC: 17B35, 16A64

Retrieve articles in all Journals with MSC: 17B35, 16A64


Additional Information:

DOI: 10.1090/S0894-0347-1990-1035415-6
PII: S0894-0347-1990-1035415-6
Copyright of article: Copyright 1990, American Mathematical Society




AMS and Social Media LinkedIn Facebook Podcasts Twitter YouTube RSS Feeds Blogs Wikipedia