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q-alg1996★ 12 cited
Quantum Heisenberg--Weyl Algebras
Angel Ballesteros, Francisco J. Herranz, Preeti Parashar
All Lie bialgebra structures on the Heisenberg--Weyl algebra are classified and explicitly quantized. The complete list of quantum Heisenberg--Weyl algebras so obtain…
q-alg1996★ 1 cited
An Alternative to the Chevalley Description of U[sl(n+1)] and U_q[sl(n+1)]
Tchavdar D. Palev, Preeti Parashar
An alternative to the Chevalley description of Lie algebra sl(n+1), of its universal enveloping algebra U[sl(n+1)] and of its q-deformed analogue U_q[sl(n+1)] in terms of generator…
q-alg1996★ 2 cited
Nonstandard Poincare and Heisenberg Algebras
Preeti Parashar
New deformations of the Poincare group and its dual enveloping algebra are obtained as a contraction of the -deformed (Jordanian) quantum group $Fun(SL…