The Primitive Spectrum and Category O for the Periplectic Lie Superalgebra

Chih Whi Chen, Kevin Coulembier

研究成果: 雜誌貢獻期刊論文同行評審

5 引文 斯高帕斯(Scopus)

摘要

We solve two problems in representation theory for the periplectic Lie superalgebra , namely, the description of the primitive spectrum in terms of functorial realisations of the braid group and the decomposition of categoryinto indecomposable blocks. To solve the first problem, we establish a new type of equivalence between categoryfor all (not just simple or basic) classical Lie superalgebras and a category of Harish-Chandra bimodules. The latter bimodules have a left action of the Lie superalgebra but a right action of the underlying Lie algebra. To solve the second problem, we establish a BGG reciprocity result for the periplectic Lie superalgebra.

原文???core.languages.en_GB???
頁(從 - 到)625-655
頁數31
期刊Canadian Journal of Mathematics
72
發行號3
DOIs
出版狀態已出版 - 1 6月 2020

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