Indecomposable doubling for representations of the type I Lie superalgebras sl(m/n) and osp(2/2n)

Autor:	Jarvis, Peter D., Thierry-Mieg, Jean
Rok vydání:	2022
Předmět:	Mathematics - Representation Theory High Energy Physics - Theory Mathematical Physics
Druh dokumentu:	Working Paper
DOI:	10.1088/1751-8121/aca22d
Popis:	We establish that for the type I Lie superalgebras $sl(m/n)$ and $osp(2/2n)$, each Kac module admits a 1 parameter family of indecomposable double extensions. The result follows from the explicit evaluation of the $H^1$ Lie superalgebra cohomology valued in the tensor product of the module and its dual. Comment: 14 pages, LaTeX. Minor corrections and clarifications added. Citation added
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2204.08662 Zobrazit plný text záznamu View this record from Arxiv