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arXiv · 0903.3790

The entries in the LR-tableau

Markus Schmidmeier
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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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Markus Schmidmeier. 2009-10-27. The entries in the LR-tableau. https://doi.org/10.1007/s00209-010-0667-8

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