U-Cohomology formula for unitarizable modules over general linear superalgebras

Ngau Lam, R. B. Zhang

研究成果: Article同行評審

1 引文 斯高帕斯(Scopus)

摘要

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.

原文English
頁(從 - 到)50-70
頁數21
期刊Journal of Algebra
327
發行號1
DOIs
出版狀態Published - 2011 二月 1

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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