메뉴 건너뛰기




Volumn 43, Issue 2, 2007, Pages 277-302

Integration over compact quantum groups

Author keywords

Free quantum group; Haar functional; Semicircle law

Indexed keywords


EID: 34547992287     PISSN: 00345318     EISSN: 16634926     Source Type: Journal    
DOI: 10.2977/prims/1201011782     Document Type: Article
Times cited : (56)

References (25)
  • 1
    • 0031329339 scopus 로고    scopus 로고
    • Le groupe quantique compact libre U(n)
    • T. Banica, Le groupe quantique compact libre U(n), Comm. Math. Phys. 190 (1997), no. 1, 143-172.
    • (1997) Comm. Math. Phys , vol.190 , Issue.1 , pp. 143-172
    • Banica, T.1
  • 2
    • 0033455794 scopus 로고    scopus 로고
    • Representations of compact quantum groups and subfactors
    • __, Representations of compact quantum groups and subfactors, J. Reine Angew. Math. 509 (1999), 167-198.
    • (1999) J. Reine Angew. Math , vol.509 , pp. 167-198
    • Banica, T.1
  • 3
    • 0036002929 scopus 로고    scopus 로고
    • Quantum groups and Fuss-Catalan algebras
    • __, Quantum groups and Fuss-Catalan algebras, Comm. Math. Phys. 226 (2002), no. 1, 221-232.
    • (2002) Comm. Math. Phys , vol.226 , Issue.1 , pp. 221-232
    • Banica, T.1
  • 4
    • 85157219688 scopus 로고    scopus 로고
    • Integration over quantum permutation groups
    • in preparation
    • T. Banica and B. Collins, Integration over quantum permutation groups, in preparation.
    • Banica, T.1    Collins, B.2
  • 5
    • 3142723048 scopus 로고    scopus 로고
    • Corepresentation theory of universal cosovereign Hopf algebras
    • arxiv:math.QA/0211059
    • J. Bichon, Corepresentation theory of universal cosovereign Hopf algebras, arxiv:math.QA/0211059.
    • Bichon, J.1
  • 6
    • 85157047599 scopus 로고    scopus 로고
    • J. Bichon, A. De Rijdt and S. Vaes, Ergodic coactions with large multiplicity and monoidal equivalence of quantum groups, arxiv:math.0A/0502018.
    • J. Bichon, A. De Rijdt and S. Vaes, Ergodic coactions with large multiplicity and monoidal equivalence of quantum groups, arxiv:math.0A/0502018.
  • 7
    • 0038239559 scopus 로고    scopus 로고
    • Moments and cumulants of polynomial random variables on unitary groups, the Itzykson-Zuber integral, and free probability
    • B. Collins, Moments and cumulants of polynomial random variables on unitary groups, the Itzykson-Zuber integral, and free probability, Int. Math. Res. Not. 2003, no. 17, 953-982.
    • (2003) Int. Math. Res. Not , Issue.17 , pp. 953-982
    • Collins, B.1
  • 8
    • 33646530323 scopus 로고    scopus 로고
    • Integration with respect to the Haar measure on unitary, orthogonal and symplectic group
    • B. Collins and P. Śniady, Integration with respect to the Haar measure on unitary, orthogonal and symplectic group, Comm. Math. Phys. 264 (2006), no. 3, 773-795.
    • (2006) Comm. Math. Phys , vol.264 , Issue.3 , pp. 773-795
    • Collins, B.1    Śniady, P.2
  • 9
    • 0032472601 scopus 로고    scopus 로고
    • Meander determinants
    • P. Di Francesco, Meander determinants, Comm. Math. Phys. 191 (1998), no. 3, 543-583.
    • (1998) Comm. Math. Phys , vol.191 , Issue.3 , pp. 543-583
    • Di Francesco, P.1
  • 11
    • 0004306283 scopus 로고    scopus 로고
    • Planar algebras I
    • arxiv:math.QA/9909027
    • V. F. R. Jones, Planar algebras I, arxiv:math.QA/9909027.
    • Jones, V.F.R.1
  • 12
    • 0001404104 scopus 로고    scopus 로고
    • Reconstructing monoidal categories
    • Amer. Math. Soc, Providence, RI
    • D. Kazhdan and H. Wenzl, Reconstructing monoidal categories, in I. M. Gel'fand Seminar, 111-136, Amer. Math. Soc., Providence, RI.
    • I. M. Gel'fand Seminar , pp. 111-136
    • Kazhdan, D.1    Wenzl, H.2
  • 13
    • 0001102352 scopus 로고
    • R-diagonal pairs - a common approach to Haar unitaries and circular elements
    • Waterloo, ON, Amer. Math. Soc, Providence, RI
    • A. Nica and R. Speicher, R-diagonal pairs - a common approach to Haar unitaries and circular elements, in Free probability theory (Waterloo, ON, 1995), 149-188, Amer. Math. Soc., Providence, RI.
    • (1995) Free probability theory , pp. 149-188
    • Nica, A.1    Speicher, R.2
  • 14
    • 0038902037 scopus 로고
    • Multiplicative functions on the lattice of noncrossing partitions and free convolution
    • R. Speicher, Multiplicative functions on the lattice of noncrossing partitions and free convolution, Math. Ann. 298 (1994), no. 4, 611-628.
    • (1994) Math. Ann , vol.298 , Issue.4 , pp. 611-628
    • Speicher, R.1
  • 15
    • 85157135809 scopus 로고    scopus 로고
    • S. Vaes and R. Vergnioux, The boundary of universal discrete quantum groups, exactness and factoriality, arxlv:math.0A/0509706.
    • S. Vaes and R. Vergnioux, The boundary of universal discrete quantum groups, exactness and factoriality, arxlv:math.0A/0509706.
  • 18
    • 21844492077 scopus 로고
    • Free products of compact quantum groups
    • S. Wang, Free products of compact quantum groups, Comm. Math. Phys. 167 (1995), no. 3, 671-692.
    • (1995) Comm. Math. Phys , vol.167 , Issue.3 , pp. 671-692
    • Wang, S.1
  • 19
    • 0032122588 scopus 로고    scopus 로고
    • Quantum symmetry groups of finite spaces
    • __, Quantum symmetry groups of finite spaces, Comm. Math. Phys. 195 (1998), no. 1, 195-211.
    • (1998) Comm. Math. Phys , vol.195 , Issue.1 , pp. 195-211
    • Wang, S.1
  • 20
    • 36749112217 scopus 로고
    • Asymptotic behavior of group integrals in the limit of infinite rank
    • D. Weingarten, Asymptotic behavior of group integrals in the limit of infinite rank, J. Mathematical Phys. 19 (1978), no. 5, 999-1001.
    • (1978) J. Mathematical Phys , vol.19 , Issue.5 , pp. 999-1001
    • Weingarten, D.1
  • 21
    • 85007947259 scopus 로고
    • Twisted SU(2) group. An example of a noncommutative differential calculus
    • S. L. Woronowicz, Twisted SU(2) group. An example of a noncommutative differential calculus, Publ. Res. Inst. Math. Sci. 23 (1987), no. 1, 117-181.
    • (1987) Publ. Res. Inst. Math. Sci , vol.23 , Issue.1 , pp. 117-181
    • Woronowicz, S.L.1
  • 22
    • 1542483491 scopus 로고
    • Compact matrix pseudogroups, Comm. Math. Phys
    • __, Compact matrix pseudogroups, Comm. Math. Phys. Ill (1987), no. 4, 613-665.
    • (1987) Ill , Issue.4 , pp. 613-665
    • Woronowicz, S.L.1
  • 23
    • 85157173108 scopus 로고    scopus 로고
    • __, Tannaka-Kreǐn duality for compact matrix pseudogroups. Twisted SU(N) groups, Invent. Math. 93 (1988), no. 1, 35-76.
    • __, Tannaka-Kreǐn duality for compact matrix pseudogroups. Twisted SU(N) groups, Invent. Math. 93 (1988), no. 1, 35-76.
  • 24
    • 34547982232 scopus 로고    scopus 로고
    • A categorical and diagrammatical approach to Temperley-Lieb algebras
    • arxiv:math.QA/0405267
    • S. Yamagami, A categorical and diagrammatical approach to Temperley-Lieb algebras, arxiv:math.QA/0405267.
    • Yamagami, S.1
  • 25
    • 34547964849 scopus 로고    scopus 로고
    • Fiber functors on Temperley-Lieb categories
    • arxiv:math.QA/0405517
    • __, Fiber functors on Temperley-Lieb categories, arxiv:math.QA/0405517.
    • Yamagami, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.