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arXiv · 1801.07898

Algebras with finitely many conjugacy classes of left ideals versus algebras of finite representation type

Arkadiusz Męcel·Jan Okniński
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Abstract

Let A be a finite dimensional algebra over an algebraically closed field with the radical nilpotent of index 2. It is shown that A has finitely many conjugacy classes of left ideals if and only if A is of finite representation type provided that all simple A-modules have dimension at least 6. This is a revised version.

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Arkadiusz Męcel, Jan Okniński. 2018-01-24. Algebras with finitely many conjugacy classes of left ideals versus algebras of finite representation type. https://arxiv.org/abs/1801.07898

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