The centralizer algebras of lie color algebras
作者:
Dongho Moon,
期刊:
Communications in Algebra
(Taylor Available online 1999)
卷期:
Volume 27,
issue 7
页码: 3233-3261
ISSN:0092-7872
年代: 1999
DOI:10.1080/00927879908826625
出版商: Gordon and Breach Science Publishers Ltd.
关键词: Primary 17B70;Primary 17B10
数据来源: Taylor
摘要:
In his 1977 paper, V.G. Kac classified the finite-dimensional simple complex Lie superalgebras. After Kac’s paper, M. Scheunert initiated the study of a generalization of Lie superalgebras - the Lie color algebras. We construct some new families of simple Lie color algebras. Following the work of A. Berele and A. Regev and A.N. Sergeev, who studied the general linear andsq(n)-series superalgebra cases, and the work of G. Benkart, C. Lee Shader, and A. Ram, who studied the orthosymplectic cases, we examine the centralizer algebras of some classical Lie superalgebras and their Lie color algebra counterparts acting on tensor space and derive Schur-Weyl duality results for these algebras and their centralizers.
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