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math.RT2002
Baby Verma modules for rational Cherednik algebras
Iain Gordon
Symplectic reflection algebras arise in many different mathematical disciplines: integrable systems, Lie theory, representation theory, differential operators, symplectic geometry.…
math.RT2002
Poisson orders, symplectic reflection algebras and representation theory
Kenneth A. Brown, Iain Gordon
We introduce a new class of algebras called Poisson orders. This class includes the symplectic reflection algebras of Etingof and Ginzburg, many quantum groups at roots of unity, a…