SCHUR SUPERALGEBRAS IN CHARACTERISTIC p, II
2006; Wiley; Volume: 38; Issue: 01 Linguagem: Inglês
10.1112/s0024609305018187
ISSN1469-2120
AutoresFrantišek Marko, Alexandr N. Zubkov,
Tópico(s)Finite Group Theory Research
ResumoBulletin of the London Mathematical SocietyVolume 38, Issue 1 p. 99-112 Papers Schur Superalgebras in Characteristic p, II František Marko, František Marko Pennsylvania State University, 76 University Drive, Hazleton, PA 18202, USA; fxm13@psu.eduSearch for more papers by this authorAlexandr N. Zubkov, Alexandr N. Zubkov Omsk State Pedagogical University, Chair of Geometry, 644099 Omsk-99, Tuhachevskogo Embankment 14, Russia; zubkov@iitam.omsk.net.ruSearch for more papers by this author František Marko, František Marko Pennsylvania State University, 76 University Drive, Hazleton, PA 18202, USA; fxm13@psu.eduSearch for more papers by this authorAlexandr N. Zubkov, Alexandr N. Zubkov Omsk State Pedagogical University, Chair of Geometry, 644099 Omsk-99, Tuhachevskogo Embankment 14, Russia; zubkov@iitam.omsk.net.ruSearch for more papers by this author First published: 23 December 2016 https://doi.org/10.1112/S0024609305018187Citations: 8AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinked InRedditWechat Abstract It is proved that if a Schur superalgebra is not semisimple, then it is neither cellular nor quasi-hereditary (Theorem 2), and it has infinite global dimension (Corollary 18). The algebra S(m|n, r) with m, n ⩾ 1 is semisimple if and only if p, the characteristic of the ground field, is zero or greater than r, or when m = n = 1 and p does not divide r. 2000 Mathematics Subject Classification 17A70 (primary), 20C30 (secondary). Citing Literature Volume38, Issue1February 2006Pages 99-112 RelatedInformation
Referência(s)