Symmetric Quasi-hereditary Envelopes

نویسنده

  • VANESSA MIEMIETZ
چکیده

Abstract. We show how any finite-dimensional algebra can be realized as an idempotent subquotient of some symmetric quasihereditary 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 ∆-subalgebras and the corresponding triangular decompositions.

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تاریخ انتشار 2008