Essential orders on stratified algebras with duality and $\mathcal{S}$-subcategories in $\mathcal{O}$

Volodymyr Mazorchuk; Elin Persson Westin

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arXiv · 2011.11492

Essential orders on stratified algebras with duality and $\mathcal{S}$-subcategories in $\mathcal{O}$

Volodymyr Mazorchuk·Elin Persson Westin

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Abstract

We prove uniqueness of the essential order for stratified algebras having simple preserving duality, generalizing a recent result of Coulembier for quasi-hereditary algebras. We apply this to classify, up to equivalence, regular integral blocks of $\mathcal{S}$-subcategories in the BGG category $\mathcal{O}$. We also describe various homological invariants of these blocks.

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BibTeX RIS

Volodymyr Mazorchuk, Elin Persson Westin. 2020-11-23. Essential orders on stratified algebras with duality and $\mathcal{S}$-subcategories in $\mathcal{O}$. https://arxiv.org/abs/2011.11492

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