Symmetric quasi-hereditary envelopes

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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.
19 pages

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Representation Theory, 16S99

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http://salesiana.dossiersoluciones.com/handle/123456789/211741

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0812.3286
 http://arxiv.org/abs/0812.3286

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arXiv