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Zapiski Nauchnykh Seminarov LOMI, 1983, Volume 123, Pages 190–202
(Mi znsl4145)
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On $W$-graphs of the symmetric group representations
S. V. Kerov
Abstract:
$W$-graphes are closely related to the Kazhdan–Lusztig polynomials now extensively used in representation theory of semisimple groups. For the symmetric group $W=\sigma_n$ description of Kazhdan–Lusztig polynomials for the grassmanians and of the related $\sigma_n$-graphs is known. The aim of this paper is to describe more general $\sigma_n$-graphs, e. g. the graphs of hook diagrams and all irreducible $\sigma_n$-graphs for $n\leqslant6$.
Citation:
S. V. Kerov, “On $W$-graphs of the symmetric group representations”, Differential geometry, Lie groups and mechanics. Part V, Zap. Nauchn. Sem. LOMI, 123, "Nauka", Leningrad. Otdel., Leningrad, 1983, 190–202
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https://www.mathnet.ru/eng/znsl4145 https://www.mathnet.ru/eng/znsl/v123/p190
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Abstract page: | 102 | Full-text PDF : | 49 |
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