Symmetric quasi-hereditary envelopes

Volodymyr Mazorchuk; Vanessa Miemietz

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arXiv · 0812.3286

Symmetric quasi-hereditary envelopes

Volodymyr Mazorchuk·Vanessa Miemietz

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Abstract

We show how any finite-dimensional algebra can be realized as an idempotent subquotient of some symmetric quasi-hereditary algebra. In the special case of rigid symmetric algebras we show that they can be realized as centralizer subalgebras of symmetric quasi-hereditary algebras. We also show that the infinite-dimensional symmetric quasi-hereditary algebras we construct admit quasi-hereditary structure with respect to two opposite orders, that they have strong exact Borel and $Δ$-subalgebras and the corresponding triangular decompositions.

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BibTeX RIS

Volodymyr Mazorchuk, Vanessa Miemietz. 2008-12-17. Symmetric quasi-hereditary envelopes. https://arxiv.org/abs/0812.3286

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