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Volumn 2, Issue 4, 1996, Pages 607-651

Kazhdan-Lusztig Polynomials and Character Formula for the Lie Superalgebra gl(m|n)

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EID: 0012864790     PISSN: 10221824     EISSN: 14209020     Source Type: Journal    
DOI: 10.1007/BF02433452     Document Type: Article
Times cited : (108)

References (16)
  • 2
    • 0000704257 scopus 로고
    • A formula for the characters of the irreducible finite dimensional representations of Lie superalgebras of series gl and sl
    • J. Bernstein and D. Leites. A formula for the characters of the irreducible finite dimensional representations of Lie superalgebras of series gl and sl. C. R. Acad. Bulgare Sci 33 (1980), 1049-1051.
    • (1980) C. R. Acad. Bulgare Sci , vol.33 , pp. 1049-1051
    • Bernstein, J.1    Leites, D.2
  • 4
    • 84952411962 scopus 로고
    • A character formula for singly atypical modules of the Lie superalgebra SL(m,n)
    • J. Hughes, R. King, and J. Thierry-Mieg. A character formula for singly atypical modules of the Lie superalgebra SL(m,n). Comm. Alg. 18 (1990), 3453-3480.
    • (1990) Comm. Alg. , vol.18 , pp. 3453-3480
    • Hughes, J.1    King, R.2    Thierry-Mieg, J.3
  • 5
    • 0001085176 scopus 로고
    • On the composition factors of Kac modules for the Lie superalgebra SL(m,n)
    • J. Hughes, R. King, and J. Thierry-Mieg. On the composition factors of Kac modules for the Lie superalgebra SL(m,n). J. of Math. Phys 33 (1992), 470-491.
    • (1992) J. of Math. Phys , vol.33 , pp. 470-491
    • Hughes, J.1    King, R.2    Thierry-Mieg, J.3
  • 6
    • 49449126179 scopus 로고
    • Lie superalgebras
    • V. G. Kac. Lie superalgebras. Adv. Math 26 (1977), 8-96.
    • (1977) Adv. Math , vol.26 , pp. 8-96
    • Kac, V.G.1
  • 7
    • 0001117173 scopus 로고
    • Representations of classical Lie superalgebras
    • V. G. Kac. Representations of classical Lie superalgebras. Lecture Notes in Math 676 (1978), 597-626.
    • (1978) Lecture Notes in Math , vol.676 , pp. 597-626
    • Kac, V.G.1
  • 8
    • 0001223452 scopus 로고
    • Laplace operators of infinite-dimensional Lie algebras and theta functions
    • V. G. Kac. Laplace operators of infinite-dimensional Lie algebras and theta functions. PNAS USA 81 (1984), 645-647.
    • (1984) PNAS USA , vol.81 , pp. 645-647
    • Kac, V.G.1
  • 9
    • 0000192792 scopus 로고
    • Integrable highest weight modules over affine superalgebras and number theory
    • V. G. Kac and M. Wakimoto. Integrable highest weight modules over affine superalgebras and number theory. Progress in Math 123 (1994), 415-456.
    • (1994) Progress in Math , vol.123 , pp. 415-456
    • Kac, V.G.1    Wakimoto, M.2
  • 10
    • 34250264460 scopus 로고
    • Representations of Coxeter groups and Hecke algebras
    • David Kazhdan and George Lusztig. Representations of Coxeter groups and Hecke algebras. Inventiones Mathematicae 53 (1979), no. 2, 165-184.
    • (1979) Inventiones Mathematicae , vol.53 , Issue.2 , pp. 165-184
    • Kazhdan, D.1    Lusztig, G.2
  • 12
    • 0001635024 scopus 로고
    • On irreducible representations of classical Lie superalgebras
    • I. Penkov and V. Serganova. On irreducible representations of classical Lie superalgebras. Indag. Math N. S. 3(4) (1992), 419-466.
    • (1992) Indag. Math N. S. , vol.3 , Issue.4 , pp. 419-466
    • Penkov, I.1    Serganova, V.2
  • 13
    • 0000493643 scopus 로고
    • Generic irreducible representations of finite-dimensional Lie superalgebras
    • I. Penkov and V. Serganova. Generic irreducible representations of finite-dimensional Lie superalgebras. International J. of Math 5 (1994), 389-419.
    • (1994) International J. of Math , vol.5 , pp. 389-419
    • Penkov, I.1    Serganova, V.2
  • 14
    • 0001427438 scopus 로고
    • Kazhdan-Lusztig polynomials for Lie superalgebra GL(m,n)
    • V. Serganova. Kazhdan-Lusztig polynomials for Lie superalgebra GL(m,n). Advances in Soviet Mathematics 16 (1993), 151-165.
    • (1993) Advances in Soviet Mathematics , vol.16 , pp. 151-165
    • Serganova, V.1
  • 16
    • 53349176540 scopus 로고
    • On characters of semisimple Lie algebras
    • David A. Vogan Jr. On characters of semisimple Lie algebras. Duke Math. J 49 (1979), 1081-1098.
    • (1979) Duke Math. J , vol.49 , pp. 1081-1098
    • Vogan Jr., D.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.