New Schur function series

Journal of Algebra

Volumn 208, Issue 2, 1998, Pages 480-525

  Ishikawa, Masao ^a   Wakayama, Masato ^b  

^a TOTTORI UNIVERSITY   (Japan)

^b KYUSHU UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0346502382     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1006/jabr.1998.7509     Document Type: Article

References (21)

1. R. Howe, Remarks on classical invariant theory, Trans. Amer. Math. Soc. 313 (1989), 539-570; erratum, Trans. Amer. Math. Soc. 318 (1990), 823.
2. R. Howe and T. Umeda, The Capelli identity, the double commutant theorem, and multiplicity-free actions, Math. Ann. 290 (1991), 565-619.
3. M. Ishikawa, A remark on totally symmetric self-complementary plane partitions, preprint.
4. M. Ishikawa, S. Okada, and M. Wakayama, Minor summation of Pfaffians and generalized Littlewood type formulas, J. Algebra 183 (1996), 193-216.
5. M. Ishikawa and M. Wakayama, Minor summation of Pfaffians, Linear and Multilinear Algebra 39 (1995), 285-305.
6. M. Ishikawa and M. Wakayama, Minor summation of Pfaffians and Schur functions identities, Proc. Japan Acad. Ser. A 71 (1995), 54-57.
7. M. Ishikawa and M. Wakayama, Minor summation formula and applications, discrete Fourier transforms, RIMS Kôkyû-roku 933 (1995), 85-104.
8. M. Ishikawa and M. Wakayama, Applications of minor summation formulas II, Pfaffians, and Schur polynomials, preprint.
9. C. Krattenthaler, On bideterminantal formulas for characters of classical groups, preprint.
10. A. Lascoux and P. Pragacz, S-function series, J. Phys. A 21 (1988), 4105-4114.
11. I. G. Macdonald, "Symmetric Functions and Hall Polynomials," 2nd ed., Oxford Mathematical Monographs, Oxford Univ. Press, London, 1995.
12. n) and the associated Capelli identity, Lett. Math. Phys. 34 (1995), 1-8.
13. N. Noumi, T. Umeda, and M. Wakayama, Dual pairs, spherical harmonics and a Capelli identity in quantum group theory, Composition Math. 104 (1996), 227-277.
14. S. Okada, On the generating function for certain classes of plane partitions, J. Combin. Theory Ser. A 51 (1989), 1-23.
15. S. Okada, Applications of minor-summation formulas to rectangular-shaped representations of classical groups, preprint.
16. R. A. Proctor, Young tableaux, Gelfand patterns, and branching rules for classical groups, preprint.
17. R. P. Stanley, "Enumerative Combinatorics," Vol. I, Wadsworth, Monterey, CA, 1986.
18. J. Stembridge, Nonintersecting paths, Pfaffians and plane partitions, Adv. Math. 83 (1990), 96-131.
19. T. Sundquist, Pfaffians, involutions, and Schur functions, University of Minnesota, PhD thesis.
20. H. Weyl, "The Classical Groups, Their Invariants and Representations," 2nd Ed., Princeton Univ. Press, Princeton, NJ, 1946.
21. M. Yang and B. G. Wybourne, New S function series and non-compact Lie groups, J. Phys. A 19 (1986), 3513-3525.