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math.QA2004
Affine Birman-Wenzl-Murakami Algebras and Tangles in the Solid Torus
Frederick M. Goodman, Holly M. Hauschild
The ordinary (or classical) Birman-Wenzl-Murakami algebras were initially conceived as an algebraic framework for the Kauffman link invariant. They also appear as centralizer algeb…
math.QA2002★ 13 cited
Ideals in the Temperley Lieb Category
Frederick M. Goodman, Hans Wenzl
We prove the following result: For a generic value of the parameter, the Temperley-Lieb category has no non-zero, proper tensor ideal. When the parameter is equal to $2\cos(π/n…
math.QA1998
Crystal Bases of Quantum Affine Algebras and Affine Kazhdan-Lusztig Polynomials
Frederick M. Goodman, Hans Wenzl
We present a fast version of the algorithm of Lascoux, Leclerc, and Thibon for the lower global crystal base for the Fock representation of quantum affine sl_n. We also show that t…