Tableau Correspondences and Representation Theory

Digjoy, Paul ; Amritanshu, Prasad ; Arghya, Sadhukhan (2019) Tableau Correspondences and Representation Theory Contemporary Mathematics, 738 . ISSN 0271-4132

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Official URL: http://doi.org/10.1090/conm/738

Related URL: http://dx.doi.org/10.1090/conm/738

Abstract

We deduce decompositions of natural representations of general linear groups and symmetric groups from combinatorial bijections involving tableaux. These include some of Howe's dualities, Gelfand models, the Schur-Weyl decomposition of tensor space, and multiplicity-free decompositions indexed by threshold partitions.

Item Type:Article
Source:Copyright of this article belongs to American Mathematical Society.
ID Code:121489
Deposited On:17 Jul 2021 07:39
Last Modified:06 Oct 2021 07:21

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