The Augmented Tridiagonal Algebra
نویسنده
چکیده
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.
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تاریخ انتشار 2009