메뉴 건너뛰기




Volumn , Issue 17, 1996, Pages

Young Basis, Wick Formula, and Higher Capelli Identities

Author keywords

[No Author keywords available]

Indexed keywords


EID: 1842562955     PISSN: 10737928     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (41)

References (22)
  • 1
    • 0000446263 scopus 로고
    • Über die Zurückführung der Cayley'schen Operation Ω auf gewöhnlichen Polar-Operationen
    • A. Capelli, Über die Zurückführung der Cayley'schen Operation Ω auf gewöhnlichen Polar-Operationen, Math. Ann. 29 (1887), 331-338.
    • (1887) Math. Ann. , vol.29 , pp. 331-338
    • Capelli, A.1
  • 2
    • 0002326145 scopus 로고
    • Special bases of irreducible representations of a degenerate affine Hecke algebra
    • I. V. Cherednik, Special bases of irreducible representations of a degenerate affine Hecke algebra, Funct. Anal. Appl. 20 (1986), 87-89.
    • (1986) Funct. Anal. Appl. , vol.20 , pp. 87-89
    • Cherednik, I.V.1
  • 3
    • 0040499938 scopus 로고
    • The Capelli identity, the double commutant theorem, and multiplicity-free actions
    • R. Howe and T. Umeda, The Capelli identity, the double commutant theorem, and multiplicity-free actions, Math. Ann. 290 (1991), 569-619.
    • (1991) Math. Ann. , vol.290 , pp. 569-619
    • Howe, R.1    Umeda, T.2
  • 4
    • 0003233853 scopus 로고
    • The Representation Theory of the Symmetric Group
    • Addison-Wesley, Reading, Mass.
    • G. James and A. Kerber, The Representation Theory of the Symmetric Group, Encyclopedia of Mathematics and its Applications 16, Addison-Wesley, Reading, Mass., 1981.
    • (1981) Encyclopedia of Mathematics and Its Applications , vol.16
    • James, G.1    Kerber, A.2
  • 5
    • 0000143636 scopus 로고
    • Symmetric polynomials and the center of the symmetric group ring
    • A.-A. A. Jucys, Symmetric polynomials and the center of the symmetric group ring, Rep. Math. Phys. 5 (1974), 107-112.
    • (1974) Rep. Math. Phys. , vol.5 , pp. 107-112
    • Jucys, A.-A.A.1
  • 7
    • 0009995872 scopus 로고
    • The Capelli identity, tube domains and the generalized Laplace transform
    • B. Kostant and S. Sahi, The Capelli identity, tube domains and the generalized Laplace transform, Adv. Math. 87 (1991), 71-92.
    • (1991) Adv. Math. , vol.87 , pp. 71-92
    • Kostant, B.1    Sahi, S.2
  • 8
    • 0009128512 scopus 로고
    • Jordan algebras and Capelli identities
    • _, Jordan algebras and Capelli identities, Invent. Math. 112 (1993), 657-664.
    • (1993) Invent. Math. , vol.112 , pp. 657-664
  • 9
  • 11
    • 0003186481 scopus 로고
    • Quantum spectral transform method: Recent developments
    • Integrable Quantum Field Theories, Springer-Verlag, Berlin
    • P. P. Kulish and E. K. Sklyanin, "Quantum spectral transform method: recent developments" in Integrable Quantum Field Theories, Lecture Notes in Phys. 151, Springer-Verlag, Berlin, 1982, 61-119.
    • (1982) Lecture Notes in Phys. , vol.151 , pp. 61-119
    • Kulish, P.P.1    Sklyanin, E.K.2
  • 13
    • 1842561910 scopus 로고    scopus 로고
    • Yangians and classical Lie algebras
    • in Russian
    • A. Molev, M. Nazarov, and G. Olshanski, Yangians and classical Lie algebras, Uspekhi Mat. Nauk. 51 (1996), 27-104 (in Russian); to appear in Russ. Math. Surv.
    • (1996) Uspekhi Mat. Nauk. , vol.51 , pp. 27-104
    • Molev, A.1    Nazarov, M.2    Olshanski, G.3
  • 14
    • 0012802470 scopus 로고    scopus 로고
    • to appear
    • A. Molev, M. Nazarov, and G. Olshanski, Yangians and classical Lie algebras, Uspekhi Mat. Nauk. 51 (1996), 27-104 (in Russian); to appear in Russ. Math. Surv.
    • Russ. Math. Surv.
  • 15
    • 0000048569 scopus 로고
    • A new construction of Young's seminormal representation of the symmetric groups
    • G. E. Murphy, A new construction of Young's seminormal representation of the symmetric groups, J. Algebra 69 (1981), 287-297.
    • (1981) J. Algebra , vol.69 , pp. 287-297
    • Murphy, G.E.1
  • 16
    • 0000096598 scopus 로고    scopus 로고
    • Yangians and Capelli identities
    • to appear A. A. Kirillov Representation Theory Seminar, ed. by G. Olshanski, Amer. Math. Soc., Providence
    • M. Nazarov, "Yangians and Capelli identities" to appear in A. A. Kirillov Representation Theory Seminar, ed. by G. Olshanski, Adv. Math. Sciences, Amer. Math. Soc., Providence, 1997.
    • (1997) Adv. Math. Sciences
    • Nazarov, M.1
  • 17
    • 0002979621 scopus 로고    scopus 로고
    • Quantum immanants and higher Capelli identities
    • A. Okounkov, Quantum immanants and higher Capelli identities, Transform. Groups 1 (1996), 99-126.
    • (1996) Transform. Groups , vol.1 , pp. 99-126
    • Okounkov, A.1
  • 19
    • 0007110636 scopus 로고    scopus 로고
    • A new approach to representation theory of symmetric groups
    • Erwin Schrödinger Inst. preprint 333, to appear
    • A. Okounkov and A. Vershik, A new approach to representation theory of symmetric groups, Erwin Schrödinger Inst. preprint 333, 1996, to appear in Selecta Math.
    • (1996) Selecta Math
    • Okounkov, A.1    Vershik, A.2
  • 20
    • 0001990494 scopus 로고
    • Representations of infinite-dimensional classical groups, limits of enveloping algebras, and Yangians
    • Topics in Representation Theory, Amer. Math. Soc., Providence
    • G. Olshanski, "Representations of infinite-dimensional classical groups, limits of enveloping algebras, and Yangians" in Topics in Representation Theory, Adv. in Soviet Math. 2, Amer. Math. Soc., Providence, 1991, 1-66.
    • (1991) Adv. in Soviet Math. , vol.2 , pp. 1-66
    • Olshanski, G.1
  • 21
    • 0011022325 scopus 로고
    • Unitary representations of (G, K)-pairs connected with the infinite symmetric group S(∞)
    • _, Unitary representations of (G, K)-pairs connected with the infinite symmetric group S(∞), St. Petersburg Math. J. 1 (1990), 983-1014.
    • (1990) St. Petersburg Math. J. , vol.1 , pp. 983-1014
  • 22
    • 0000432240 scopus 로고
    • The spectrum of certain invariant differential operators associated to a Hermitian symmetric space
    • Lie Theory and Geometry: In Honour of Bertram Kostant, Birkhäuser, Boston
    • S. Sahi, "The spectrum of certain invariant differential operators associated to a Hermitian symmetric space," in Lie Theory and Geometry: In Honour of Bertram Kostant, Progr. Math. 123, Birkhäuser, Boston, 1994, 569-579.
    • (1994) Progr. Math. , vol.123 , pp. 569-579
    • Sahi, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.