36 citations · 196 across the 42 of their papers we have counts for
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Tensor Representations for the Drinfeld Double of the Taft Algebra
Georgia Benkart, Rekha Biswal, Ellen Kirkman +2
Over an algebraically closed field of characteristic zero, the Drinfeld double of the Taft algebra that is defined using a primitive th root of unity $q \in \m…
McKay Matrices for Finite-dimensional Hopf Algebras
Georgia Benkart, Rekha Biswal, Ellen Kirkman +2
For a finite-dimensional Hopf algebra , the McKay matrix of an -module encodes the relations for tensoring the simple -modules with . We prove results about t…
The center of the affine nilTemperley-Lieb algebra
Georgia Benkart, Joanna Meinel
We give a description of the center of the affine nilTemperley-Lieb algebra based on a certain grading of the algebra and on a faithful representation of it on fermionic particle c…
A Parametric Family of Subalgebras of the Weyl Algebra III. Derivations
Georgia Benkart, Samuel A. Lopes, Matthew Ondrus
An Ore extension over a polynomial algebra F[x] is either a quantum plane, a quantum Weyl algebra, or an infinite-dimensional unital associative algebra A_h generated by elements x…
Multiparameter Weyl Algebras
Georgia Benkart
We introduce a family of unital associative algebras A which are multiparameter analogues of the Weyl algebras and determine the simple weight modules and the Whittaker modules for…
A Parametric Family of Subalgebras of the Weyl Algebra I. Structure and Automorphisms
Georgia Benkart, Samuel A. Lopes, Matthew Ondrus
An Ore extension over a polynomial algebra is either a quantum plane, a quantum Weyl algebra, or an infinite-dimensional unital associative algebra g…