Kei-ichiro Iima, Ryo Iwamatsu
Abstract
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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.
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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.
Key concepts: Jordan matrix, Mathematics, Algebraically closed field, Canonical form, Decomposition, Eigenvalues and eigenvectors, Pure mathematics, Block (permutation group theory)