13 citations · 13 across the 3 of their papers we have counts for
6 papers
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…
--graded Independence
Frederick M. Goodman
We generalize results of Mingo and Nica on graded independence from the context of --graded (Fermionic) noncommutative probability spaces to that of --gra…
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…
A Path Algorithm for Affine Kazhdan-Lusztig Polynomials
Frederick M. Goodman, Hans Wenzl
We develop an algorithm for computing affine Kazhdan-Lusztig polynomials, for all Lie types. This generalizes our previously published algorithm for type A, which in turn is a fast…
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…
The Martin Boundary of the Young-Fibonacci Lattice
Frederick M. Goodman, Sergei V. Kerov
We find the Martin boundary for the Young-Fibonacci lattice YF. Along with the lattice of Young diagrams, this is the most interesting example of a differential poset. The Martin b…