Article contents
NAKAYAMA AUTOMORPHISMS OF FROBENIUS CELLULAR ALGEBRAS
Published online by Cambridge University Press: 07 June 2012
Abstract
Let A be a finite-dimensional Frobenius cellular algebra with cell datum (Λ,M,C,i). Take a nondegenerate bilinear form f on A. In this paper, we study the relationship among i, f and a certain Nakayama automorphism α. In particular, we prove that the matrix associated with α with respect to the cellular basis is uni-triangular under a certain condition.
MSC classification
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 86 , Issue 3 , December 2012 , pp. 515 - 524
- Copyright
- Copyright © Australian Mathematical Publishing Association Inc. 2012
References
- 4
- Cited by