Articulo
Unitary representations of cyclotomic rational Cherednik algebras
JOURNAL OF ALGEBRA
Registro en:
1151275
1151275
Autor
Griffeth, Stephen
Institución
Resumen
We classify the irreducible unitary modules in category O-c for the rational Cherednik algebras of type G(r, 1, n) and give explicit combinatorial formulas for their graded characters. More precisely, we produce a combinatorial algorithm determining, for each r-partition lambda(center dot) of n, the closed semi-linear set of parameters c for which the contravariant form on the irreducible representation L-c(lambda(center dot)) is positive definite. We use this algorithm to give a closed form answer for the Cherednik algebra of the symmetric group (recovering a result of Etingof-Stoica and the author) and the Weyl groups of classical type. (C) 2018 Elsevier Inc. All rights reserved. Regular 2015 FONDECYT FONDECYT