On the Jordan decomposition of tensored matrices of Jordan canonical forms

Abstract

Let k be an algebraically closed field of characteristic p \ge 0. We shall consider the problem of finding out a Jordan canonical form of J(α,s) \otimes_{k} J(β,t), where J(α,s) means the Jordan block with eigenvalue α\in k and size s.

13 pages, 7 figures. Math. J. Okayama Univ. (to appear)