Tilting modules for classical Lie superalgebras

Chih Whi Chen, Shun Jen Cheng, 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 study tilting and projective-injective modules in a parabolic BGG category (Formula presented.) for an arbitrary classical Lie superalgebra. We establish a version of Ringel duality for this type of Lie superalgebras which allows to express the characters of tilting modules in terms of those of simple modules in that category. We also obtain a classification of projective-injective modules in the full BGG category (Formula presented.) for all simple classical Lie superalgebras. We then classify and give an explicit combinatorial description of parabolic subalgebras of the periplectic Lie superalgebras and apply our results to study their tilting modules in more detail.

原文???core.languages.en_GB???
頁(從 - 到)870-900
頁數31
期刊Journal of the London Mathematical Society
103
發行號3
DOIs
出版狀態已出版 - 4月 2021

指紋

深入研究「Tilting modules for classical Lie superalgebras」主題。共同形成了獨特的指紋。

引用此