Translated simple modules for Lie algebras and simple supermodules for Lie superalgebras

Chih Whi Chen, Kevin Coulembier, Volodymyr Mazorchuk

研究成果: 雜誌貢獻期刊論文同行評審

10 引文 斯高帕斯(Scopus)

摘要

We prove that the tensor product of a simple and a finite dimensional sln-module has finite type socle. This is applied to reduce classification of simple q(n) -supermodules to that of simple sln-modules. Rough structure of simple q(n) -supermodules, considered as sln-modules, is described in terms of the combinatorics of category O.

原文???core.languages.en_GB???
頁(從 - 到)255-281
頁數27
期刊Mathematische Zeitschrift
297
發行號1-2
DOIs
出版狀態已出版 - 2月 2021

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