The augmented tridiagonal algebra

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概要

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• Motivated by investigations of the tridiagonal pairs of linear transformations, we introduce the augmented tridiagonal algebra Tq. This is an infinite-dimensional associative C-algebra with 1. We classify the finite-dimensional irreducible representations of Tq.All such representations are explicitly constructed via embeddings of Tq into the Uq(sl2)-loop algebra. As an application, tridiagonal pairs over C are classified in the case where q is not a root of unity. © 2010 Faculty of Mathematics, Kyushu University.

著者

• Ito Tatsuro

  Division of Mathematical and Physical Sciences Kanazawa University

• Terwillinger Paul

  Department of Mathematics University of Wisconsin-Madison Van Vleck Hall

関連論文

• The augmented tridiagonal algebra

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