Finite-dimensional simple graded algebras

Autor:	Yu. A. Bahturin, Sudarshan K. Sehgal, Mikhail Zaicev
Rok vydání:	2008
Předmět:	Discrete mathematics Hilbert series and Hilbert polynomial Pure mathematics Algebra and Number Theory Quaternion algebra Graded ring Graded Lie algebra Filtered algebra symbols.namesake Differential graded algebra symbols Division algebra Central simple algebra Mathematics
Zdroj:	Sbornik: Mathematics. 199:965-983
ISSN:	1468-4802 1064-5616
DOI:	10.1070/sm2008v199n07abeh003949
Popis:	Let R be a finite-dimensional algebra over an algebraically closed field F graded by an arbitrary group G. In the paper it is proved that if the characteristic of F is zero or does not divide the order of any finite subgroup of G, then R is graded simple if and only if it is isomorphic to a matrix algebra over a finite-dimensional graded skew field.Bibliography: 24 titles.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::eaae96bf96e7ad45e516434ad334a353 https://doi.org/10.1070/sm2008v199n07abeh003949 Zobrazit plný text záznamu