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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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
Keywords
- Littlewood–Richardson tableau
- Subgroup embeddings
- Hall polynomial
- Auslander–Reiten sequence
- Categorification