Mazorchuk, Volodymyr and Miemietz, Vanessa (2009) Idempotent subquotients of symmetric quasi-hereditary algebras. Illinois Journal of Mathematics, 53 (3). pp. 737-756.
Full text not available from this repository.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 structures with respect to two opposite orders, that they have strong exact Borel and Δ -subalgebras and the corresponding triangular decompositions.
Item Type: | Article |
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Faculty \ School: | Faculty of Science > School of Mathematics (former - to 2024) |
UEA Research Groups: | Faculty of Science > Research Groups > Algebra and Combinatorics (former - to 2024) Faculty of Science > Research Groups > Algebra, Logic & Number Theory |
Depositing User: | Users 2731 not found. |
Date Deposited: | 29 Nov 2011 10:23 |
Last Modified: | 07 Nov 2024 12:33 |
URI: | https://ueaeprints.uea.ac.uk/id/eprint/35573 |
DOI: | 10.1215/ijm/1286212913 |
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