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Volumn 4, Issue 4, 1997, Pages 533-553

Binomial formula for Macdonald polynomials and applications

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EID: 0031287701     PISSN: 10732780     EISSN: None     Source Type: Journal    
DOI: 10.4310/MRL.1997.v4.n4.a10     Document Type: Article
Times cited : (57)

References (30)
  • 1
    • 0011004314 scopus 로고
    • Généralisation de la transformation d'Euler d'une série formelle
    • [Ab] A. Abderrezzak, Généralisation de la transformation d'Euler d'une série formelle, Adv. Math. 103 (1994), no. 2, 180-195.
    • (1994) Adv. Math. , vol.103 , Issue.2 , pp. 180-195
    • Abderrezzak, A.1
  • 2
    • 0003341319 scopus 로고
    • The theory of partitions
    • Addison-Wesley Publishing Co., Reading, Mass.-London-Amsterdam
    • [An] G. Andrews, The theory of partitions. Encyclopedia of Mathematics and its Applications, Vol. 2., Addison-Wesley Publishing Co., Reading, Mass.-London-Amsterdam, 1976.
    • (1976) Encyclopedia of Mathematics and Its Applications , vol.2
    • Andrews, G.1
  • 3
    • 0000425727 scopus 로고
    • An identity involving partitional generalized binomial coefficients
    • [Bi] C. Bingham, An identity involving partitional generalized binomial coefficients, J. Multivariate Analysis 4 (1974), 210-223.
    • (1974) J. Multivariate Analysis , vol.4 , pp. 210-223
    • Bingham, C.1
  • 4
    • 18444389274 scopus 로고
    • Macdonald's evaluation conjectures and difference Fourier transform
    • [Ch] I. Cherednik, Macdonald's evaluation conjectures and difference Fourier transform, Invent. Math. 122 (1995), no. 1, 119-145.
    • (1995) Invent. Math. , vol.122 , Issue.1 , pp. 119-145
    • Cherednik, I.1
  • 5
    • 0000946944 scopus 로고    scopus 로고
    • Representation-theoretic proof of the inner product and symmetry identities for Macdonald's polynomials
    • [EK] P. Etingof and A. A. Kirillov, Jr., Representation-theoretic proof of the inner product and symmetry identities for Macdonald's polynomials, Compositio Math. 102 (1996), 179-202.
    • (1996) Compositio Math. , vol.102 , pp. 179-202
    • Etingof, P.1    Kirillov A.A., Jr.2
  • 8
    • 0001207320 scopus 로고
    • Selberg integrals and hypergeometric functions associated with Jack polynomials
    • [Ka] J. Kaneko, Selberg integrals and hypergeometric functions associated with Jack polynomials, SIAM J. Math. Anal. 24 (1993), 1086-1110..
    • (1993) SIAM J. Math. Anal. , vol.24 , pp. 1086-1110
    • Kaneko, J.1
  • 9
    • 0000199181 scopus 로고    scopus 로고
    • q-Selberg integrals and Macdonald polynomials
    • [Ka2] _, q-Selberg integrals and Macdonald polynomials, Ann. Sci. École Norm. Sup. (4) 29 (1996), no. 5, 583-637.
    • (1996) Ann. Sci. École Norm. Sup. (4) , vol.29 , Issue.5 , pp. 583-637
  • 10
    • 85033092443 scopus 로고    scopus 로고
    • On inner product in modular tensor categories I
    • q-alg/9508017, to appear
    • [Ki] A. A. Kirillov, Jr., On inner product in modular tensor categories I, q-alg/9508017, J. Amer. Math. Soc. (to appear).
    • J. Amer. Math. Soc.
    • Kirillov A.A., Jr.1
  • 11
    • 0040421770 scopus 로고    scopus 로고
    • The boundary of Young graph with Jack edge multiplicities
    • q-alg/9703037, to appear
    • [KOO] S. Kerov, A. Okounkov, and G. Olshanski, The boundary of Young graph with Jack edge multiplicities, q-alg/9703037, IMRN (to appear).
    • IMRN
    • Kerov, S.1    Okounkov, A.2    Olshanski, G.3
  • 13
    • 0000130099 scopus 로고    scopus 로고
    • Difference equations and symmetric polynomials defined by their zeros
    • [KS] F. Knop and S. Sahi, Difference equations and symmetric polynomials defined by their zeros, Internat. Math. Res. Notices (1996), no. 10, 473-486.
    • (1996) Internat. Math. Res. Notices , Issue.10 , pp. 473-486
    • Knop, F.1    Sahi, S.2
  • 14
    • 0001230276 scopus 로고
    • Classes de Chern d'un produit tensoriel
    • [Lasc] A. Lascoux, Classes de Chern d'un produit tensoriel, C. R. Acad. Sci. Paris, Sér. I 286A (1978), 385-387.
    • (1978) C. R. Acad. Sci. Paris, Sér. I , vol.286 A , pp. 385-387
    • Lascoux, A.1
  • 15
    • 0000846267 scopus 로고
    • Une formule de binôme généralisée pour les polynômes de Jack
    • [La] M. Lassalle, Une formule de binôme généralisée pour les polynômes de Jack, C. R. Acad. Sci. Paris, Sér. I 310 (1990), 253-256.
    • (1990) C. R. Acad. Sci. Paris, Sér. I , vol.310 , pp. 253-256
    • Lassalle, M.1
  • 17
    • 0002979621 scopus 로고    scopus 로고
    • Quantum immanants and higher Capelli identities
    • [Ok1] A. Okounkov, Quantum immanants and higher Capelli identities, Transformation groups 1 (1996), 99-126.
    • (1996) Transformation Groups , vol.1 , pp. 99-126
    • Okounkov, A.1
  • 18
    • 1842562955 scopus 로고    scopus 로고
    • Young basis, Wick formula, and higher Capelli identities
    • [Ok2] _, Young basis, Wick formula, and higher Capelli identities, Internat. Math. Res. Not. 17 (1996), 817-839.
    • (1996) Internat. Math. Res. Not. , vol.17 , pp. 817-839
  • 19
    • 85033096797 scopus 로고    scopus 로고
    • (Shifted) Macdonald polynomials: q-Integral representation and combinatorial formula
    • q-alg/9605013, to appear
    • [Ok3] _, (Shifted) Macdonald polynomials: q-Integral representation and combinatorial formula, q-alg/9605013, Comp. Math. (to appear).
    • Comp. Math.
  • 22
    • 85033090786 scopus 로고    scopus 로고
    • Proof of a conjecture of Goulden and Jackson
    • to appear
    • [Ok6] _, Proof of a conjecture of Goulden and Jackson, Can. J. of Math. (to appear).
    • Can. J. of Math.
  • 24
    • 0003337923 scopus 로고    scopus 로고
    • Shifted Schur functions
    • Russian
    • [OO] A. Okounkov and G. Olshanski, Shifted Schur functions, Algebra i Analiz 9 (1997), No. 2 (Russian); English version to appear in St. Petersburg Math. J. 9 (1998), No. 2
    • (1997) Algebra i Analiz , vol.9 , Issue.2
    • Okounkov, A.1    Olshanski, G.2
  • 25
    • 0010967720 scopus 로고    scopus 로고
    • [OO] A. Okounkov and G. Olshanski, Shifted Schur functions, Algebra i Analiz 9 (1997), No. 2 (Russian); English version to appear in St. Petersburg Math. J. 9 (1998), No. 2
    • (1998) St. Petersburg Math. J. , vol.9 , Issue.2
  • 26
    • 0031286860 scopus 로고    scopus 로고
    • Shifted Jack polynomials, binomial formula, and applications
    • q-alg/9608020
    • [OO2] _, Shifted Jack polynomials, binomial formula, and applications, q-alg/9608020, Math. Res. Lett. 4 (1997), 69-78.
    • (1997) Math. Res. Lett. , vol.4 , pp. 69-78
  • 27
    • 85033077321 scopus 로고    scopus 로고
    • Shifted Schur functions II
    • to appear in A. A. Kirillov representation theory seminar, G. Olshanski ed., Amer. Math. Soc.
    • [OO3] _, Shifted Schur functions II, to appear in A. A. Kirillov representation theory seminar, G. Olshanski ed., Adv. in Math. Sciences, Amer. Math. Soc..
    • Adv. in Math. Sciences
  • 29
    • 0000432240 scopus 로고
    • The spectrum of certain invariant differential operators associated to a Hermitian symmetric space
    • J.-L. Brylinski, R. Brylinski, V. Guillemin, V. Kac, eds., Birkhäuser, Boston, Basel
    • [S1] S. Sahi, The spectrum of certain invariant differential operators associated to a Hermitian symmetric space, Lie theory and geometry: in honor of Bertram Kostant, Progress in Mathematics (J.-L. Brylinski, R. Brylinski, V. Guillemin, V. Kac, eds.), vol. 123, Birkhäuser, Boston, Basel, 1994.
    • (1994) Lie Theory and Geometry: In Honor of Bertram Kostant, Progress in Mathematics , vol.123
    • Sahi, S.1
  • 30
    • 1842535560 scopus 로고    scopus 로고
    • Interpolation, integrality, and a generalization of Macdonald's polynomials
    • [S2] _, Interpolation, integrality, and a generalization of Macdonald's polynomials, Internat. Math. Res. Notices (1996), 457-471.
    • (1996) Internat. Math. Res. Notices , pp. 457-471


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