Frobenius Structural Matrix Algebras
Representation Theory
2016-01-01 v1 Rings and Algebras
Abstract
We discuss when the incidence coalgebra of a locally finite preordered set is right co-Frobenius. As a consequence, we obtain that a structural matrix algebra over a field is Frobenius if and only if it consists, up to a permutation of rows and columns, of diagonal blocks which are full matrix algebras over .
Cite
@article{arxiv.1512.09339,
title = {Frobenius Structural Matrix Algebras},
author = {Sorin Dascalescu and Miodrag C. Iovanov and Sorina Predut},
journal= {arXiv preprint arXiv:1512.09339},
year = {2016}
}