U-Cohomology formula for unitarizable modules over general linear superalgebras

Ngau Lam, R. B. Zhang

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

The u-cohomology groups with coefficients in infinite-dimensional irreducible unitarizable highest weight modules are introduced for the general linear superalgebra. The corresponding cohomology groups associated with a large class of infinite-dimensional irreducible unitarizable representations known as the oscillator representations are computed explicitly. Results lead to a more detailed understanding of the character formula for such modules derived in an earlier publication using other methods.

Original languageEnglish
Pages (from-to)50-70
Number of pages21
JournalJournal of Algebra
Volume327
Issue number1
DOIs
Publication statusPublished - 2011 Feb 1

Fingerprint

Cohomology Group
Superalgebra
Cohomology
Character Formula
Module
Irreducible Representation
Coefficient
Class

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Cite this

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abstract = "The u-cohomology groups with coefficients in infinite-dimensional irreducible unitarizable highest weight modules are introduced for the general linear superalgebra. The corresponding cohomology groups associated with a large class of infinite-dimensional irreducible unitarizable representations known as the oscillator representations are computed explicitly. Results lead to a more detailed understanding of the character formula for such modules derived in an earlier publication using other methods.",
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U-Cohomology formula for unitarizable modules over general linear superalgebras. / Lam, Ngau; Zhang, R. B.

In: Journal of Algebra, Vol. 327, No. 1, 01.02.2011, p. 50-70.

Research output: Contribution to journalArticle

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