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The entries in the LR-tableau

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Abstract

Let Γ be the Littlewood–Richardson tableau corresponding to an embedding M of a subgroup in a finite abelian p-group. Each individual entry in Γ yields information about the homomorphisms from M into a particular subgroup embedding, and hence determines the position of M within the category of subgroup embeddings. Conversely, this category provides a categorification for LR-tableaux in the sense that all subgroup embeddings corresponding to a given LR-tableau share certain homological properties.

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  1. Department of Mathematical Sciences, Florida Atlantic University, Boca Raton, FL, 33431, USA

    Markus Schmidmeier

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  1. Markus Schmidmeier
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Correspondence to Markus Schmidmeier.

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Schmidmeier, M. The entries in the LR-tableau. Math. Z. 268, 211–222 (2011). https://doi.org/10.1007/s00209-010-0667-8

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  • DOI: https://doi.org/10.1007/s00209-010-0667-8

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