Peer-Reviewed Journal Details
Mandatory Fields
Hethelyi, L;Horvath, E;Kulshammer, B;Murray, J
2005
November
Journal of Algebra
Central ideals and Cartan invariants of symmetric algebras
Published
17 ()
Optional Fields
293
243
260
In this paper, we investigate certain ideals in the center of a symmetric algebra A over an algebraically closed field of characteristic p > 0. These ideals include the Higman ideal and the Reynolds ideal. They are closely related to the p-power map on A. We generalize some results concerning these ideals from group algebras to symmetric algebras, and we obtain some new results as well. In case p = 2, these ideals detect odd diagonal entries in the Cartan matrix of A. In a sequel to this paper, we will apply our results to group algebras. (c) 2005 Elsevier Inc. All rights reserved.
SAN DIEGO
0021-8693
10.1016/j.jalgebra.2005.01.052
Grant Details