On the Jordan decomposition of tensored matrices of Jordan canonical forms

Mathematics – Commutative Algebra

Scientific paper

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

Scientific paper

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(\alpha,s)
\otimes_{k} J(\beta,t), where J(\alpha,s) means the Jordan block with
eigenvalue \alpha \in k and size s.

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