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arXiv:1310.3480 [math.RT]AbstractReferencesReviewsResources

Stratifications of algebras with two simple modules

Qunhua Liu, Dong Yang

Published 2013-10-13, updated 2014-06-13Version 2

Let $A$ be a finite-dimensional algebra with two simple modules. It is shown that if the derived category of $A$ admits a stratification with simple factors being the base field $k$, then $A$ is derived equivalent to a quasi-hereditary algebra. As a consequence, if further $k$ is algebraically closed and $A$ has finite global dimension, then $A$ is either derived simple or derived equivalent to a quasi-hereditary algebra

Comments: 16 pages. Typos corrected, some corollaries added in the end of section 3
Categories: math.RT
Subjects: 16E35, 16E40, 16E45
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