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math.RT2011★ 3 cited
Bidiagonal pairs, the Lie algebra sl_2, and the quantum group U_q(sl_2)
Darren Funk-Neubauer
We introduce a linear algebraic object called a bidiagonal pair. Roughly speaking, a bidiagonal pair is a pair of diagonalizable linear transformations on a finite-dimensional vect…
math.RT2008★ 3 cited
Tridiagonal pairs and the q-tetrahedron algebra
Darren Funk-Neubauer
In this paper we further develop the connection between tridiagonal pairs and the q-tetrahedron algebra . Let V denote a finite dimensional vector space over an algebr…