INVESTIGADORES
ZURRIAN Ignacio Nahuel
artículos
Título:
On the basic representation of the double affine Hecke algebra at critical level
Autor/es:
VAN DIEJEN, JAN FELIPE; EMSIZ, ERDAL; ZURRIÁN, IGNACIO
Revista:
JOURNAL OF ALGEBRA AND ITS APPLICATIONS
Editorial:
WORLD SCIENTIFIC PUBL CO PTE LTD
Referencias:
Año: 2022
ISSN:
0219-4988
Resumen:
We construct the basic representation of the double affine Hecke algebra at critical level q = 1 associated to an irreducible reduced affine root system R with a reduced gradient root system. For R of untwisted type such a representation was studied by Oblomkov [A. Oblomkov, Double affine Hecke algebras and Calogero?Moser spaces, Represent. Theory 8 (2004) 243?266] and further detailed by Gehles [K. E. Gehles, Properties of Cherednik algebras and graded Hecke algebras, PhD thesis, University of Glasgow (2006)] in the presence of minuscule weights.
