36 citations · 196 across the 42 of their papers we have counts for
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math.RA2008★ 4 cited
Unitary Lie Algebras and Lie Tori of Type BC_r, r \geq 3
Bruce Allison, Georgia Benkart
A Lie G-torus of type X_r is a Lie algebra with two gradings -- one by an abelian group G and the other by the root lattice of a finite irreducible root system of type X_r. In this…
math.RT2008★ 20 cited
The Equitable Basis for sl_2
Georgia Benkart, Paul Terwilliger
This article contains an investigation of the equitable basis for the Lie algebra sl_2. Denoting this basis by {x,y,z}, we have [x,y] = 2x + 2y, [y,z] = 2y + 2z, [z, x] = 2z + 2x.…
math.RT2008
Whittaker Modules for Generalized Weyl Algebras
Georgia Benkart, Matthew Ondrus
We investigate Whittaker modules for generalized Weyl algebras, a class of associative algebras which includes the quantum plane, Weyl algebras, the universal enveloping algebra of…