Idempotent subquotients of symmetric quasi-hereditary algebras

Mazorchuk, Volodymyr and Miemietz, Vanessa (2009) Idempotent subquotients of symmetric quasi-hereditary algebras. Illinois Journal of Mathematics, 53 (3). pp. 737-756.

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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 structures with respect to two opposite orders, that they have strong exact Borel and Δ -subalgebras and the corresponding triangular decompositions.

Item Type: Article
Faculty \ School: Faculty of Science > School of Mathematics
UEA Research Groups: Faculty of Science > Research Groups > Algebra and Combinatorics
Depositing User: Users 2731 not found.
Date Deposited: 29 Nov 2011 10:23
Last Modified: 15 Aug 2023 12:30
DOI: 10.1215/ijm/1286212913

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