A q-series identity involving Schur functions and related topics

Osaka Journal of Mathematics

Volumn 36, Issue 1, 1999, Pages 157-176

  Kawanaka, Noriaki ^a  

^a OSAKA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002604172     PISSN: 00306126     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (17)

1. q)), J. Algebra, 129 (1990), 320-366.
2. G. Gasper and M. Rahman: Basic Hypergeometric Series, Encyclopedia of Math. and Its Appl. 35, Cambridge Univ. Press, Cambridge, 1990.
3. 2), Math. Z. 188 (1984), 45-54.
4. A. Gyoja, K. Nishiyama and H. Shimura: Invariants for representations of Weyl groups and two sided cells, preprint.
5. G. James and A. Kerber: The Representation Theory of the Symmetric Group, Encyclopedia of Math. and Its Appl. 16, Addison-Wesley, Reading Mass. 1981.
6. N. Kawanaka: On subfield symmetric spaces over a finite field, Osaka J. Math. 28 (1991), 759-791.
7. N. Kawanaka and H. Matsuyama: A twisted version of the Frobenius-Schur indicator and multiplicity-free permutation representations, Hokkaido Math. J. 19 (1990), 495-508.
8. A.A. Kirillov and I.M. Pak: Covariants of the symmetric group and its analogues in Weil algebras, Funct. Annal, and its Appl. 24 (1990), 172-176.
9. A.A. Klyachko: Models for the complex representations of the groups GL(n,q), Math. USSR-Sb. 48 (1984), 365-379.
10. A. Lascoux and P. Pragacz: S-function series, J. Phys. A: Math. Gen. 21 (1988), 4105-4114.
11. G. Lusztig: Symmetric spaces over a finite field. The Grothendieck Festschrift III (ed. P. Cartier et al.), Progress in Math. 88, Birkhäuser, Boston, 1990, 57-81.
12. I. Macdonald: Symmetric Functions and Hall Polynomials (2nd ed.), Oxford Univ. Press, Oxford, 1995.
13. V.F. Molchanov: On the Poincaré series of representations of finite reflection groups, Funct. Anal. and its Appl. 26 (1992), 143-145.
14. T. Scharf and J.-Y. Thibon: A Hopf-algebra approach to inner plethysm, Adv. in Math. 104 (1994), 30-58.
15. J.-P. Serre: Linear Representations of Finite Groups, Springer, Berlin, 1977.
16. J.-Y. Thibon: The inner plethism of symmetric functions and some of its applications, Bayereuther Math. Schriften, 40 (1992), 177-201.
17. G.E. Wall: On the conjugacy classes in the unitary, symplectic and orthogonal groups, J. Austr. Math. Soc. 3 (1963), 1-62.