메뉴 건너뛰기




Volumn 179, Issue 1, 1997, Pages 123-160

Shapovalov determinant for restricted and quantized restricted enveloping algebras

(2)  Kumar, Shrawan a   Letzter, Gail a  

a NONE

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0009079316     PISSN: 00308730     EISSN: None     Source Type: Journal    
DOI: 10.2140/pjm.1997.179.123     Document Type: Article
Times cited : (8)

References (17)
  • 1
    • 0002387482 scopus 로고
    • The strong linkage principle
    • H.H. Andersen, The strong linkage principle, J. Reine Angew Math., 315 (1980), 53-59.
    • (1980) J. Reine Angew Math. , vol.315 , pp. 53-59
    • Andersen, H.H.1
  • 2
    • 0001768267 scopus 로고
    • Representations of quantum groups at a p-th root of unity and of semisimple groups in characteristic p: Independence of p
    • H.H. Andersen, J.C. Jantzen and W. Soergel, Representations of quantum groups at a p-th root of unity and of semisimple groups in characteristic p: Independence of p, Astérisque, 220 (1994), 1-321.
    • (1994) Astérisque , vol.220 , pp. 1-321
    • Andersen, H.H.1    Jantzen, J.C.2    Soergel, W.3
  • 3
    • 33646855447 scopus 로고
    • Representations of quantum algebras
    • H.H. Andersen, P. Polo and K. Wen, Representations of quantum algebras, Invent. Math., 104 (1991), 1-59.
    • (1991) Invent. Math. , vol.104 , pp. 1-59
    • Andersen, H.H.1    Polo, P.2    Wen, K.3
  • 4
    • 33646406314 scopus 로고
    • Structure of representations generated by vectors of highest weight
    • I.N. Bernshtein, I.M. Gel'fand and S.I. Gel'fand, Structure of representations generated by vectors of highest weight, Funct. Anal. Appl., 5 (1971), 1-8.
    • (1971) Funct. Anal. Appl. , vol.5 , pp. 1-8
    • Bernshtein, I.N.1    Gel'fand, I.M.2    Gel'fand, S.I.3
  • 6
    • 0001334959 scopus 로고
    • Representations of quantum groups at roots of 1
    • Operator Algebras, Unitary Representations, Enveloping Algebras, and Invariant Theory
    • C. DeConcini and V.G. Kac, Representations of quantum groups at roots of 1, In: Operator Algebras, Unitary Representations, Enveloping Algebras, and Invariant Theory, Progr. Math., 92 (1990), 471-506.
    • (1990) Progr. Math. , vol.92 , pp. 471-506
    • DeConcini, C.1    Kac, V.G.2
  • 7
    • 38249032840 scopus 로고
    • Homomorphisms between Verma modules in characteristic p
    • J. Franklin, Homomorphisms between Verma modules in characteristic p, J. of Algebra, 112 (1988), 58-85.
    • (1988) J. of Algebra , vol.112 , pp. 58-85
    • Franklin, J.1
  • 9
    • 0009278727 scopus 로고
    • Ordinary and modular representations of Chevalley groups
    • Springer-Verlag
    • _, Ordinary and modular representations of Chevalley groups, LNM, 528, Springer-Verlag, 1976.
    • (1976) LNM , vol.528
  • 10
    • 0003322938 scopus 로고
    • Moduln mit einem höchsten Gewicht
    • Springer-Verlag, Heidelberg
    • J.C. Jantzen, Moduln mit einem höchsten Gewicht, LNM, 750, Springer-Verlag, Heidelberg, 1979.
    • (1979) LNM , vol.750
    • Jantzen, J.C.1
  • 11
    • 0003360621 scopus 로고
    • Representations of algebraic groups
    • Academic Press
    • _, Representations of Algebraic Groups, Pure Appl. Math., 131, Academic Press, 1987.
    • (1987) Pure Appl. Math. , vol.131
  • 12
    • 0000332410 scopus 로고
    • Local finiteness of the adjoint action for quantized enveloping algebras
    • A. Joseph and G. Letzter, Local finiteness of the adjoint action for quantized enveloping algebras, J. of Algebra, 153 (1992), 289-318.
    • (1992) J. of Algebra , vol.153 , pp. 289-318
    • Joseph, A.1    Letzter, G.2
  • 14
    • 0040638396 scopus 로고
    • Representations of quantum groups at roots of unity
    • World Scientific Press
    • S. Kumar, Representations of quantum groups at roots of unity, In : Proceedings of the conference on Quantum Topology, World Scientific Press, 1994.
    • (1994) Proceedings of the Conference on Quantum Topology
    • Kumar, S.1
  • 15
    • 84968491405 scopus 로고
    • Finite dimensional Hopf algebras arising from quantized universal enveloping algebras
    • G. Lusztig, Finite dimensional Hopf algebras arising from quantized universal enveloping algebras, J. Amer. Math. Soc., 3 (1990), 257-296.
    • (1990) J. Amer. Math. Soc. , vol.3 , pp. 257-296
    • Lusztig, G.1
  • 16
    • 34249957902 scopus 로고
    • Quantum groups at roots of 1
    • _, Quantum groups at roots of 1, Geometriae Dedicata, 35 (1990), 89-113.
    • (1990) Geometriae Dedicata , vol.35 , pp. 89-113


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.