共查询到20条相似文献,搜索用时 0 毫秒
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Oksana Yakimova 《Bulletin des Sciences Mathématiques》2010,134(6):579-587
Let g be a classical Lie algebra, e∈g a nilpotent element and ge⊂g the centraliser of e. We prove that ge=[ge,ge] if and only if e is rigid. It is also shown that if e∈[ge,ge], then the nilpotent radical of ge coincides with [ge(1),ge], where ge(1)⊂ge is an eigenspace of a characteristic of e corresponding to the eigenvalue 1. 相似文献
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Wolfgang Willems 《Mathematische Zeitschrift》1980,171(2):163-174
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On the derived category of a finite-dimensional algebra 总被引:11,自引:0,他引:11
Dieter Happel 《Commentarii Mathematici Helvetici》1987,62(1):339-389
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Yitzhak Weit 《Mathematische Annalen》1980,248(3):279-283
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Zsolt Balogh 《Journal of Pure and Applied Algebra》2012,216(6):1282-1287
Let be a group such that the set of -elements of forms a finite nonabelian subgroup, where is an odd prime, and let be a field of characteristic . In this paper we prove that the lower bound of the Lie derived length of the group algebra given by Shalev in [11] is also a lower bound for the Lie derived length of the set of symmetric elements of for every involution which is linear extension of an involutive anti-automorphism of . Furthermore, we provide counterexamples to the interesting cases which are not covered by the main theorem. 相似文献
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Let A≡KΔ /I be a factor of a path algebra. We develop a strategy to compute dim H
1(A), the dimension of the first Hochschild cohomology group of A, using combinatorial data from (Δ,I). That allows us to connect dim H
1(A) with the rank and p-rank of the fundamental group π1(Δ,I) of (Δ,I). We get explicit formulae for dim H
1(A), when every path in Δ parallel to an arrow belongs to I or when I is homogeneous.
Received: 12 April 1999 / Revised version: 9 October 2000 相似文献
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A. N. Krasil'nikov Samuel M. Vovsi 《Proceedings of the American Mathematical Society》1996,124(9):2613-2618
Let be the group algebra of a free noncyclic group over an integral domain . It is proved that if is not a field, then there exists a fully invariant ideal of such is torsion-free but not projective as an -module. In other words, there exists a pure nonprojective variety of group representations over .
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J.-M. Kim, S. Bae and I.-S. Lee showed that there exists an isomorphism between the p-primary part of the ideal class group and p-primary part of the unit group modulo cyclotomic unit group in Q+(ζpn) for all sufficiently large n under some conditions. In the present paper, we shall give an analogue of their result for modular units. 相似文献
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Supported by NSF grant DMS-8501514 相似文献
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Donald W. Barnes 《Proceedings of the American Mathematical Society》2001,129(2):347-350
The length of the spectral sequence of a Lie algebra extension is at most the dimension of the quotient algebra. We show that this bound can be attained for arbitrarily large quotient algebras even when the algebra is nilpotent and the extension splits.