Nakayama automorphisms of Frobenius cellular algebras

Authors

  • Yanbo Li

Keywords:

Frobenius algebras, cellular algebras, Nakayama automorphisms.

Abstract

Let $A$ be a finite dimensional Frobenius cellular algebra with cell datum $(\Lambda, M, C, i)$. Take a non-degenerate bilinear form $f$ on $A$. In this paper, we study the relationship among $i$, $f$ and certain Nakayama automorphism $\alpha$. In particular, we prove that the matrix associated with $\alpha$ with respect to the cellular basis is uni-triangular under certain condition. 10.1017/S0004972712000445

Published

2012-10-22

Issue

Vol. 86 No. 3 (2012)

Section

Articles
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