Multiple left regular representations generated by alternants

Journal of Combinatorial Theory. Series A

Volumn 91, Issue 1-2, 2000, Pages 49-83

  Bergeron, François ^a   Garsia, Adriano ^b   Tesler, Glenn ^b  

^a UNIVERSITÉ DU QUÉBEC À MONTRÉAL   (Canada)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Macdonald polynomials; representations of the symmetric group; complex reflection groups; lattice diagram polynomials

Indexed keywords

EID: 0034215968     PISSN: 00973165     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcta.2000.3089     Document Type: Article

References (12)

1. Allen E. E. Some graded representations of the complex reflection groups. J. Combin. Theory Ser. A. 87:1999;287-332.
2. Artin E. Galois Theory. 1959;University of Notre Dame Press, South Bend.
3. Bergeron F., Bergeron N., Garsia A. M., Haiman M., Tesler G. Lattice diagram polynomials and extended Pieri rules. Adv. in Math. 142:1999;244-334.
4. T. Gallo, Combinatorial Bases for Modules of Coinvariants, Ph.D. thesis, University of California, San Diego, in preparation.
5. Garsia A. M., Haiman M. A graded representation model for Macdonald's polynomials. Proc. Natl. Acad. Sci. USA. 90:April 1993;3607-3610.
6. Garsia A. M., Tesler G. Plethystic formulas for Macdonald q, t-Kostka coefficients. Adv. in Math. 123:1996;144-222.
7. Macdonald I. G. A new class of symmetric functions. Séminaire Lotharingien de Combinatoire. Publ. Inst. Rech. Math. Av. 372:1988;Univ. Louis Pasteur, Strasbourg. p. 131-171.
8. Macdonald I. G. Symmetric Functions and Hall Polynomials. Oxford Mathematical Monographs. 1995;The Clarendon Press/Oxford University Press, New York.
9. Shephard G. C., Todd J. A. Finite unitary reflection groups. Canadian J. Math. 6:1954;274-304.
10. Steinberg R. Differential equations invariant under finite reflection groups. Trans. Amer. Math. Soc. 112:1964;392-400.
11. Stembridge J. R. On the eigenvalues of representations of reflection groups and wreath products. Pacific J. Math. 140:1989;353-396.
12. Tesler G. Isotypic decompositions of lattice determinants. J. Combin. Theory Ser. A. 85:1999;208-227.