On Griess Algebras

dc.contributor.author	Roitman, M.
dc.date.accessioned	2019-02-19T13:07:52Z
dc.date.available	2019-02-19T13:07:52Z
dc.date.issued	2008
dc.identifier.citation	On Griess Algebras / M. Roitman // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 27 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2000 Mathematics Subject Classification: 17B69
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/149024
dc.description.abstract	In this paper we prove that for any commutative (but in general non-associative) algebra A with an invariant symmetric non-degenerate bilinear form there is a graded vertex algebra V = V₀ + V₂ + V₃ + ..., such that dim V₀ = 1 and V₂ contains A. We can choose V so that if A has a unit e, then 2e is the Virasoro element of V, and if G is a finite group of automorphisms of A, then G acts on V as well. In addition, the algebra V can be chosen with a non-degenerate invariant bilinear form, in which case it is simple.	uk_UA
dc.description.sponsorship	This paper is a contribution to the Special Issue on Kac–Moody Algebras and Applications.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	On Griess Algebras	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA