All quasihereditary algebras with a regular exact Borel subalgebra
Teresa Conde
Abstract:Not every quasihereditary algebra (A, Φ, ✂) has an exact Borel subalgebra. A theorem by Koenig, Külshammer and Ovsienko asserts that there always exists a quasihereditary algebra Morita equivalent to A that has a regular exact Borel subalgebra, but a characterisation of such a Morita representative is not directly obtainable from their work. This paper gives a criterion to decide whether a quasihereditary algebra contains a regular exact Borel subalgebra and provides a method to compute all the representatives… Show more
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