Kostant Modules in Blocks of Category 𝒪S

Autor:	Brian D. Boe, Markus Hunziker
Rok vydání:	2009
Předmět:	Algebra Algebra and Number Theory Property (philosophy) Simple (abstract algebra) Lie algebra Mathematics::Representation Theory Hermitian matrix Cohomology Mathematics
Zdroj:	Communications in Algebra. 37:323-356
ISSN:	1532-4125 0092-7872
DOI:	10.1080/00927870802243937
Popis:	In this article, the authors investigate infinite-dimensional representations L in blocks of the relative (parabolic) category 𝒪 S for a complex simple Lie algebra, having the property that the cohomology of the nilradical with coefficients in L “looks like” the cohomology with coefficients in a finite-dimensional module, as in Kostant's theorem. A complete classification of these “Kostant modules” in regular blocks for maximal parabolics in the simply laced types is given. A complete classification is also given in arbitrary (singular) blocks for Hermitian symmetric categories.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::2936f22b5a64d98a9733088d3f8f804e https://doi.org/10.1080/00927870802243937 Zobrazit plný text záznamu