Idempotent subquotients of symmetric quasi-hereditary algebras

Volodymyr Mazorchuk, Vanessa Miemietz

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3 Citations (Scopus)


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
-subalgebras and the corresponding triangular decompositions.
Original languageEnglish
Pages (from-to)737-756
Number of pages20
JournalIllinois Journal of Mathematics
Issue number3
Publication statusPublished - 2009

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