SINGULAR POLYNOMIALS FOR FINITE REFLECTION GROUPS

Authors
DUNKL CF DEJEU MF OPDAM EM
Citation
Cf. Dunkl et al., SINGULAR POLYNOMIALS FOR FINITE REFLECTION GROUPS, Transactions of the American Mathematical Society, 346(1), 1994, pp. 237-256
Citations number
18
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Transactions of the American Mathematical Society → ACNP
ISSN journal
00029947
Volume
346
Issue
1
Year of publication
1994
Pages
237 - 256
Database
ISI
SICI code
0002-9947(1994)346:1<237:SPFFRG>2.0.ZU;2-G
Abstract
The Dunkl operators involve a multiplicity function as parameter. For generic values of this function the simultaneous kernel of these opera tors, acting on polynomials, is equal to the constants. For special va lues, however, this kernel is larger. We determine these singular valu es completely and give partial results on the representations of G tha t occur in this kernel.