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arXiv:1801.07898 [math.RT]AbstractReferencesReviewsResources

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

Arkadiusz Męcel, Jan Okniński

Published 2018-01-24Version 1

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.

Categories: math.RT, math.RA
Subjects: 16P10, 16D99, 16G60, 20M99
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