Singular polynomials and modules for the symmetric groups

International Mathematics Research Notices

Volumn , Issue 39, 2005, Pages 2409-2436

  Dunkl, Charles F ^a  

^a University of Virginia   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 28444460395     PISSN: 10737928     EISSN: 16870247     Source Type: Journal    
DOI: 10.1155/imrn.2005.2409     Document Type: Review

References (10)

1. C. F. Dunkl, Hook-lengths and pairs of compositions, to appear in J. Comp. Appl. Math.
2. _, Differential-difference operators associated to reflection groups, Trans. Amer. Math. Soc. 311 (1989), no. 1, 167-183.
3. _, Singular polynomials for the symmetric groups, Int. Math. Res. Not. 2004 (2004), no. 67, 3607-3635.
4. C. F. Dunkl, M. F. E. de Jeu, and E. M. Opdam, Singular polynomials for finite reflection groups, Trans. Amer. Math. Soc. 346 (1994), no. 1, 237-256.
5. C. F. Dunkl and Y. Xu, Orthogonal polynomials of several variables, Encyclopedia of Mathematics and Its Applications, vol. 81, Cambridge University Press, Cambridge, 2001.
6. P. Etingof and V. Ginzburg, Symplectic reflection algebras, Calogero-Moser space, and deformed Harish-Chandra homomorphism, Invent. Math. 147 (2002), no. 2, 243-348.
7. V. Ginzburg, N. Guay, E. Opdam, and R. Rouquier, On the category script O sign for rational Cherednik algebras, Invent. Math. 154 (2003), no. 3, 617-651.
8. F. Knop and S. Sahi, A recursion and a combinatorial formula for Jack polynomials, Invent. Math. 128 (1997), no. 1, 9-22.
9. G. E. Murphy, A new construction of Young's seminormal representation of the symmetric groups, J. Algebra 69 (1981), no. 2, 287-297.
10. E. M. Opdam, Dunkloperators, Bessel functions and the discriminant of a finite Coxeter group, Compositio Math. 85 (1993), no. 3, 333-373.