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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…