Parabolic BGG categories and their block decomposition for Lie superalgebras of Cartan type-Reference-Cited by-同舟云学术

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Parabolic BGG categories and their block decomposition for Lie superalgebras of Cartan type

Published:2023-10-11 Issue:-1 Volume:-1 Page:
ISSN:0025-5645
Container-title:Journal of the Mathematical Society of Japan
language:
Short-container-title:J. Math. Soc. Japan

Author:

DUAN Fei-Fei¹,SHU Bin²,YAO Yu-Feng³

Affiliation:

1. School of Mathematical Sciences, Hebei Normal University

2. School of Mathematical Sciences, Ministry of Education Key Laboratory of Mathematics and Engineering Applications & Shanghai Key Laboratory of PMMP, East China Normal University

3. Department of Mathematics, Shanghai Maritime University

Publisher

Mathematical Society of Japan (Project Euclid)

Subject

General Mathematics

Reference25 articles.

1. [2] S. M. Arkhipov, Semi-infinite cohomology of associative algebras and bar duality, Int. Math. Res. Not. IMRN, 1997 (1997), 833–863.

2. [3] I. Bagci, J. R. Kujawa and D. K. Nakano, Cohomology and support varieties for Lie superalgebras of type $W(n)$, Int. Math. Res. Not. IMRN, 2008 (2008), art. ID rnn115, 42 pp.

3. [4] A. D. Bell and R. Farnsteiner, On the theory of Frobenius extensions and its applications to Lie superalgebras, Trans. Amer. Math. Soc., 335 (1993), 407–424.

4. [5] I. N. Bernstein, I. M. Gelfand and S. I. Gelfand, On a category of $\mathfrak{g}$-modules, Funktsional. Anal. i Priložhen, 10 (1976), no. 2, 1-8

5. English transl., Funct. Anal. Appl., 10 (1976), 87-92.

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