Super tableaux and a branching rule for the general linear Lie superalgebra
نویسندگان
چکیده
منابع مشابه
Equivalence of Blocks for the General Linear Lie Superalgebra
We develop a reduction procedure which provides an equivalence (as highest weight categories) from an arbitrary block (defined in terms of the central character and the integral Weyl group) of the BGG category O for a general linear Lie superalgebra to an integral block of O for (possibly a direct sum of) general linear Lie superalgebras. We also establish indecomposability of blocks of O.
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We apply the techniques of quasideterminants to construct new families of Casimir elements for the general linear Lie superalgebra gl(m|n) whose images under the Harish-Chandra isomorphism are respectively the elementary, complete and power sums supersymmetric functions. School of Mathematics and Statistics University of Sydney, NSW 2006, Australia [email protected] Department of Mathemat...
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ژورنال
عنوان ژورنال: Linear and Multilinear Algebra
سال: 2014
ISSN: 0308-1087,1563-5139
DOI: 10.1080/03081087.2013.860599