Rootsystems of simple Lie algebras
dc.contributor.author | Winter, David J. | en_US |
dc.date.accessioned | 2006-04-07T18:54:47Z | |
dc.date.available | 2006-04-07T18:54:47Z | |
dc.date.issued | 1985-11 | en_US |
dc.identifier.citation | Winter, David J. (1985/11)."Rootsystems of simple Lie algebras." Journal of Algebra 97(1): 166-180. <http://hdl.handle.net/2027.42/25510> | en_US |
dc.identifier.uri | http://www.sciencedirect.com/science/article/B6WH2-4CWYXWK-FG/2/6dd4c61cb83effbbb2fc877d407158d9 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/25510 | |
dc.description.abstract | Rootsystems of nonclassical simple Lie algebras L = [summation operator]a[epsilon]R La such that a([e,f]) [not equal to] 0 for some e[epsilon]L'a, f[epsilon]L'-a for each a[epsilon]R - {0} either contain T2-sections or are irreducible Witt rootsystems. The irreducible Witt rootsystems of prime ranks 1, 2, 3 are W, W2, S2, W3, W[plus sign in circle](W [logical or] W), W[plus sign in circle]S2, S3, S3[plus sign in circle](W [logical or] W), S3(S2). Witt rootsystems having no sections S2, W[plus sign in circle](W [logical or] W) are classified as those rootsystems whose irreducible components are finite vector space subgroups. Since the latter are rootsystems of generalized Albert-Zassenhaus Lie algebras, it follows that the rootsystems of nonclassical simple Lie algebras L = [summation operator]a[epsilon]R La such that ([e,f]) [not equal to] 0 for some e[epsilon]L'a, f[epsilon]L'-a for each a[epsilon]R - {0} which contain no section of type T2, S2, or W[plus sign in circle](W [logical or] W) are classified up to isomorphism by finite vector space subgroups. | en_US |
dc.format.extent | 871711 bytes | |
dc.format.extent | 3118 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | Elsevier | en_US |
dc.title | Rootsystems of simple Lie algebras | en_US |
dc.type | Article | en_US |
dc.rights.robots | IndexNoFollow | en_US |
dc.subject.hlbsecondlevel | Mathematics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109, U.S.A. | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/25510/1/0000051.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1016/0021-8693(85)90079-1 | en_US |
dc.identifier.source | Journal of Algebra | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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