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arXiv · 2002.09443

A family of operators generating domino tableaux of a fixed shape and a decomposition of left cells into isotypic components

William M. McGovern
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Abstract

We exhibit a set of operators on pairs of domino tableaux of the same shape sending them to other such pairs with the same right tableau, in such a way that any two pairs with the same right tableau are conjugate by some composition of the operators. Using these operators we give explicit bases for the isotypic components of a classical Kazhdan-Lusztig left cell in terms of Kazhdan-Lusztig basis vectors.

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William M. McGovern. 2020-02-21. A family of operators generating domino tableaux of a fixed shape and a decomposition of left cells into isotypic components. https://arxiv.org/abs/2002.09443

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