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Volumn 118, Issue 3, 2011, Pages 778-795

On polynomial integrals over the orthogonal group

Author keywords

Haar measure; Hyperspherical law; Orthogonal group

Indexed keywords


EID: 78751494769     PISSN: 00973165     EISSN: 10960899     Source Type: Journal    
DOI: 10.1016/j.jcta.2010.11.015     Document Type: Article
Times cited : (18)

References (16)
  • 1
    • 77949773791 scopus 로고    scopus 로고
    • The orthogonal Weingarten formula in compact form
    • Banica T. The orthogonal Weingarten formula in compact form. Lett. Math. Phys. 2010, 91:105-118.
    • (2010) Lett. Math. Phys. , vol.91 , pp. 105-118
    • Banica, T.1
  • 4
    • 77954624658 scopus 로고    scopus 로고
    • Quantum isometries and noncommutative spheres
    • Banica T., Goswami D. Quantum isometries and noncommutative spheres. Comm. Math. Phys. 2010, 298:343-356.
    • (2010) Comm. Math. Phys. , vol.298 , pp. 343-356
    • Banica, T.1    Goswami, D.2
  • 5
    • 72249105743 scopus 로고    scopus 로고
    • On some properties of orthogonal Weingarten functions
    • Collins B., Matsumoto S. On some properties of orthogonal Weingarten functions. J. Math. Phys. 2009, 50:1-18.
    • (2009) J. Math. Phys. , vol.50 , pp. 1-18
    • Collins, B.1    Matsumoto, S.2
  • 6
    • 33646530323 scopus 로고    scopus 로고
    • Integration with respect to the Haar measure on the unitary, orthogonal and symplectic group
    • Collins B., śniady P. Integration with respect to the Haar measure on the unitary, orthogonal and symplectic group. Comm. Math. Phys. 2006, 264:773-795.
    • (2006) Comm. Math. Phys. , vol.264 , pp. 773-795
    • Collins, B.1    śniady, P.2
  • 7
    • 77952065433 scopus 로고    scopus 로고
    • Quantum rotatability
    • Curran S. Quantum rotatability. Trans. Amer. Math. Soc. 2010, 362:4831-4851.
    • (2010) Trans. Amer. Math. Soc. , vol.362 , pp. 4831-4851
    • Curran, S.1
  • 8
    • 0001891773 scopus 로고
    • On the eigenvalues of random matrices
    • Diaconis P., Shahshahani M. On the eigenvalues of random matrices. J. Appl. Probab. 1994, 31:49-62.
    • (1994) J. Appl. Probab. , vol.31 , pp. 49-62
    • Diaconis, P.1    Shahshahani, M.2
  • 9
    • 78751551855 scopus 로고    scopus 로고
    • Primitive factorizations, Jucys-Murphy elements, and matrix models, in: FPSAC in: Discrete Math. Theor. Comput. Sci., in press. arxiv:1005.0151
    • S. Matsumoto, J. Novak, Primitive factorizations, Jucys-Murphy elements, and matrix models, in: FPSAC 2010, in: Discrete Math. Theor. Comput. Sci., in press, arxiv:1005.0151.
    • (2010)
    • Matsumoto, S.1    Novak, J.2
  • 10
    • 0037104083 scopus 로고    scopus 로고
    • Hua type integrals over unitary groups and over projective limits of unitary groups
    • Neretin Y.A. Hua type integrals over unitary groups and over projective limits of unitary groups. Duke Math. J. 2002, 114:239-266.
    • (2002) Duke Math. J. , vol.114 , pp. 239-266
    • Neretin, Y.A.1
  • 11
    • 78751505631 scopus 로고    scopus 로고
    • Jucys-Murphy Elements and the Unitary Weingarten Function
    • Novak J. Jucys-Murphy Elements and the Unitary Weingarten Function. Banach Center Publ. 2010, vol. 89. pp. 231-235.
    • (2010) Banach Center Publ. , vol.89 , pp. 231-235
    • Novak, J.1
  • 12
    • 0001471212 scopus 로고
    • Unitary representations of infinite-dimensional pairs (G,K) and the formalism of R. Howe
    • Olshanskii G.I. Unitary representations of infinite-dimensional pairs (G,K) and the formalism of R. Howe. Adv. Stud. Contemp. Math. 1990, 7:269-463.
    • (1990) Adv. Stud. Contemp. Math. , vol.7 , pp. 269-463
    • Olshanskii, G.I.1
  • 14
    • 24644460599 scopus 로고    scopus 로고
    • Large deviation for the empirical eigenvalue density of truncated Haar unitary matrices
    • Petz D., Réffy J. Large deviation for the empirical eigenvalue density of truncated Haar unitary matrices. Probab. Theory Related Fields 2005, 133:175-189.
    • (2005) Probab. Theory Related Fields , vol.133 , pp. 175-189
    • Petz, D.1    Réffy, J.2
  • 15
    • 36749112217 scopus 로고
    • Asymptotic behavior of group integrals in the limit of infinite rank
    • Weingarten D. Asymptotic behavior of group integrals in the limit of infinite rank. J. Math. Phys. 1978, 19:999-1001.
    • (1978) J. Math. Phys. , vol.19 , pp. 999-1001
    • Weingarten, D.1
  • 16
    • 77949774189 scopus 로고    scopus 로고
    • Jucys-Murphy elements and Weingarten matrices
    • Zinn-Justin P. Jucys-Murphy elements and Weingarten matrices. Lett. Math. Phys. 2010, 91:119-127.
    • (2010) Lett. Math. Phys. , vol.91 , pp. 119-127
    • Zinn-Justin, P.1


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