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This article is cited in 131 scientific papers (total in 131 papers)
The tensor algebra of the identity representation as a module over the Lie superalgebras $\mathfrak Gl(n,m)$ and $Q(n)$
A. N. Sergeev
Abstract:
Let $T$ be the tensor algebra of the identity representation of the Lie superalgebras in the series $\mathfrak Gl$ and $Q$. The method of Weyl is used to construct a correspondence between the irreducible representations (respectively, the irreducible projective representations) of the symmetric group and the irreducible $\mathfrak Gl$- (respectively, $Q$-) submodules of $T$. The properties of the representations are studied on the basis of this correspondence. A formula is given for the characters on the irreducible $Q$-submodules of $T$.
Bibliography: 8 titles.
Received: 22.04.1983
Citation:
A. N. Sergeev, “The tensor algebra of the identity representation as a module over the Lie superalgebras $\mathfrak Gl(n,m)$ and $Q(n)$”, Mat. Sb. (N.S.), 123(165):3 (1984), 422–430; Math. USSR-Sb., 51:2 (1985), 419–427
Linking options:
https://www.mathnet.ru/eng/sm2029https://doi.org/10.1070/SM1985v051n02ABEH002867 https://www.mathnet.ru/eng/sm/v165/i3/p422
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Abstract page: | 2139 | Russian version PDF: | 534 | English version PDF: | 63 | References: | 106 |
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