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math.RT2009★ 3 cited
A uniform proof of the Macdonald-Mehta-Opdam identity for finite Coxeter groups
Pavel Etingof
We give a new proof of the Macdonald-Mehta-Opdam integral identity for finite Coxeter groups. This identity was conjectured by Macdonald and proved by Opdam in 1993 using the theor…
math.RT2009★ 16 cited
Unitary representations of rational Cherednik algebras
Pavel Etingof, Emanuel Stoica, Stephen Griffeth
We study unitarity of lowest weight irreducible representations of rational Cherednik algebras. We prove several general results, and use them to determine which lowest weight repr…