KRULL DIMENSION OF AFFINOID ENVELOPING ALGEBRAS OF SEMISIMPLE LIE ALGEBRAS

Autor:	I. Grojnowski, Konstantin Ardakov
Rok vydání:	2013
Předmět:	Algebra Quantum group General Mathematics Non-associative algebra Universal enveloping algebra Krull dimension Mathematics::Representation Theory Semisimple Lie algebra Casimir element Mathematics Lie conformal algebra Graded Lie algebra
Zdroj:	Glasgow Mathematical Journal. 55:7-26
ISSN:	1469-509X 0017-0895
DOI:	10.1017/s0017089513000487
Popis:	Using Beilinson–Bernstein localisation, we give another proof of Levasseur's theorem on the Krull dimension of the enveloping algebra of a complex semisimple Lie algebra. The proof also extends to the case of affinoid enveloping algebras.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::68667b871dcca14a6b1284c290c6e0a0 https://doi.org/10.1017/s0017089513000487 Zobrazit plný text záznamu