Categories of finite dimensional weight modules over type I classical Lie superalgebras

Journal of Algebra

Volumn 180, Issue 2, 1996, Pages 459-482

  Zou, Yi Ming ^a  

^a UNIVERSITY OF WISCONSIN MILWAUKEE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030094242     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1006/jabr.1996.0077     Document Type: Article

References (15)

1. [BGG] I. N. Bernstein, I. M. Gelfand, and S. I. Gelfand, Category of g-fraktur sign-modules, Functional Anal. Appl. 10 (1976), 87-92.
2. [BL] I. N. Bernstein and D. A. 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, No. 8 (1980), 1049-1051. [in Russian]
3. [DGK] V. V. Deodhar, O. Gabber, and V. G. Kac, Structure of some categories of representations of infinite-dimensional Lie algebras, Adv. in Math. 45 (1982), 92-116.
4. [HKV] J. W. B. Hughes, R. C. King, and J. Van der Jeugt, On the composition factors of the Kac module V̄(Λ) for the Lie superalgebra sl(m/n), J. Math. Phys. 33, No. 2 (1992), 470-491.
5. [K1] V. G. Kac, Lie superalgebras, Adv. in Math. 26 (1977), 8-96.
6. [K2] V. G. Kac, Characters of typical representations of classical Lie superalgebras, Comm. Algebra 5 (1977), 889-897.
7. [K3] V. G. Kac, Representations of classical Lie superalgebras, Lecture Notes in Math. 676 (1977), 579-626.
8. [PS1] I. Penkov and V. Serganova, Representations of classical Lie superalgebras of type I, Indag. Math. (N.S.) 3, No. 4 (1992), 419-466.
9. [PS2] I. Penkov and V. Serganova, "Generic Irreducible Representations of Finite-Dimensional Lie Superalgebras," Preprint ESI 50, 1993.
10. [R-CW] A. Rocha-Caridi and N. R. Wallach, Projective modules over graded Lie algebras I, Math. Z. 180 (1982), 151-177.
11. [Ser] V. Serganova, Kazhdan-Lusztig polynomials for Lie superalgebra g-fraktur sign l-fraktur sign(m\n), Adv. in Soviet Math. 16, No. 2 (1993), 151-165.
12. [Su] Y. C. Su, Classification of finite dimensional modules of the Lie superalgebra sl(2/1), Comm. Algebra 20, No. 11 (1992), 3259-3277.
13. [V] J. Van der Jeugt, Character formulae for the Lie superalgebra C(n), Comm. Algebra 19, No. 1 (1991), 199-222.
14. [VHKT1] J. Van der Jeugt, J. W. B. Hughes, R. C. King, and J. Thierry-Mieg, A character formula for singly atypical modules of the Lie superalgebra sl(m/n), Comm. Algebra 18, No. 10 (1990), 3453-3480.
15. [VHKT2] J. Van der Jeugt, J. W. B. Hughes, R. C. King, and J. Thierry-Mieg, Character formulae for irreducible modules of the Lie superalgebra sl(m/n), J. Math. Phys. 31 (1990), 2278-2304.