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Volumn 51, Issue 11, 2010, Pages

Decomposition results for Gram matrix determinants

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EID: 78650598072     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3511332     Document Type: Article
Times cited : (24)

References (38)
  • 3
    • 34547992287 scopus 로고    scopus 로고
    • Integration over compact quantum groups
    • 10.2977/prims/1201011782, and , "," .
    • Banica T. Collins B. Integration over compact quantum groups. Publ. Res. Inst. Math. Sci. 2007, 43:277. 10.2977/prims/1201011782, and ",".
    • (2007) Publ. Res. Inst. Math. Sci. , vol.43 , pp. 277
    • Banica, T.1    Collins, B.2
  • 4
    • 77958533166 scopus 로고    scopus 로고
    • Classification results for easy quantum groups
    • 10.2140/pjm.2010.247.1, and , "," .
    • Banica T. Curran S. Speicher R. Classification results for easy quantum groups. Pacific. J. Math. 2010, 247:1. 10.2140/pjm.2010.247.1, and ",".
    • (2010) Pacific. J. Math. , vol.247 , pp. 1
    • Banica, T.1    Curran, S.2    Speicher, R.3
  • 5
    • 77958524906 scopus 로고    scopus 로고
    • Stochastic aspects of easy quantum groups
    • "," Probab. Theory Related Fields, to appear.
    • Banica T. Curran S. Speicher R. Stochastic aspects of easy quantum groups. and "," Probab. Theory Related Fields, to appear.
    • Banica, T.1    Curran, S.2    Speicher, R.3
  • 6
    • 77958588153 scopus 로고    scopus 로고
    • De Finetti theorems for easy quantum groups
    • "," Ann. Probab., to appear, e-print arXiv:0907.3314.
    • Banica T. Curran S. Speicher R. De Finetti theorems for easy quantum groups. and "," Ann. Probab., to appear, e-print arXiv:0907.3314.
    • Banica, T.1    Curran, S.2    Speicher, R.3
  • 7
    • 68349144696 scopus 로고    scopus 로고
    • Liberation of orthogonal Lie groups
    • 10.1016/j.aim.2009.06.009, and , "," .
    • Banica T. Speicher R. Liberation of orthogonal Lie groups. Adv. Math. 2009, 222:1461. 10.1016/j.aim.2009.06.009, and ",".
    • (2009) Adv. Math. , vol.222 , pp. 1461
    • Banica, T.1    Speicher, R.2
  • 8
    • 77954621706 scopus 로고    scopus 로고
    • Invariants of the half-liberated orthogonal group
    • "," Ann. Inst. Fourier, to appear.
    • Banica T. Vergnioux R. Invariants of the half-liberated orthogonal group. and "," Ann. Inst. Fourier, to appear.
    • Banica, T.1    Vergnioux, R.2
  • 9
    • 0033464422 scopus 로고    scopus 로고
    • Stable laws and domains of attraction in free probability theory
    • 10.2307/121080, and , "," .
    • Bercovici H. Pata V. Stable laws and domains of attraction in free probability theory. Ann. Math. 1999, 149:1023. 10.2307/121080, and ",".
    • (1999) Ann. Math. , vol.149 , pp. 1023
    • Bercovici, H.1    Pata, V.2
  • 10
    • 0031503616 scopus 로고    scopus 로고
    • Algebras associated to intermediate subfactors
    • 10.1007/s002220050137, and , "," .
    • Bisch D. Jones F.R. V. Algebras associated to intermediate subfactors. Invent. Math. 1997, 128:89. 10.1007/s002220050137, and ",".
    • (1997) Invent. Math. , vol.128 , pp. 89
    • Bisch, D.1    Jones, F.R.V.2
  • 11
    • 56749097282 scopus 로고    scopus 로고
    • The Gram matrix of a Temperley-Lieb algebra is similar to the matrix of chromatic joins
    • 10.1142/S021919970800306X, and , "," .
    • Chen Q. Przytycki J. The Gram matrix of a Temperley-Lieb algebra is similar to the matrix of chromatic joins. Commun. Contemp. Math. 2008, 10:849. 10.1142/S021919970800306X, and ",".
    • (2008) Commun. Contemp. Math. , vol.10 , pp. 849
    • Chen, Q.1    Przytycki, J.2
  • 12
    • 0038239559 scopus 로고    scopus 로고
    • Moments and cumulants of polynomial random variables on unitary groups, the Itzykson-Zuber integral, and free probability
    • 10.1155/S107379280320917X, "," .
    • Collins B. Moments and cumulants of polynomial random variables on unitary groups, the Itzykson-Zuber integral, and free probability. Int. Math. Res. Notices. 2003, 17:953. 10.1155/S107379280320917X, ",".
    • (2003) Int. Math. Res. Notices. , vol.17 , pp. 953
    • Collins, B.1
  • 13
    • 72249105743 scopus 로고    scopus 로고
    • On some properties of orthogonal Weingarten functions
    • 10.1063/1.3251304, and , "," .
    • Collins B. Matsumoto S. On some properties of orthogonal Weingarten functions. J. Math. Phys. 2009, 50:1. 10.1063/1.3251304, and ",".
    • (2009) J. Math. Phys. , vol.50 , pp. 1
    • Collins, B.1    Matsumoto, S.2
  • 14
    • 33646530323 scopus 로고    scopus 로고
    • Integration with respect to the Haar measure on unitary, orthogonal and symplectic groups
    • 10.1007/s00220-006-1554-3, and , "," .
    • Collins B. Śniady P. Integration with respect to the Haar measure on unitary, orthogonal and symplectic groups. Commun. Math. Phys. 2006, 264:773. 10.1007/s00220-006-1554-3, and ",".
    • (2006) Commun. Math. Phys. , vol.264 , pp. 773
    • Collins, B.1    Śniady, P.2
  • 15
    • 31244436198 scopus 로고    scopus 로고
    • Note on two determinants with interesting factorizations
    • 10.1016/S0012-365X(01)00208-4, and , "," .
    • Copeland A. Schmidt F. Simion R. Note on two determinants with interesting factorizations. Discrete Math. 2002, 256:449. 10.1016/S0012-365X(01)00208-4, and ",".
    • (2002) Discrete Math. , vol.256 , pp. 449
    • Copeland, A.1    Schmidt, F.2    Simion, R.3
  • 16
    • 0141763049 scopus 로고
    • The Birkhoff-Lewis equation
    • "," PhD dissertation, University of Waterloo.
    • Dahab R. The Birkhoff-Lewis equation. 1993, "," PhD dissertation, University of Waterloo.
    • (1993)
    • Dahab, R.1
  • 17
    • 0032472601 scopus 로고    scopus 로고
    • Meander determinants
    • 10.1007/s002200050277, "," .
    • Di Francesco P. Meander determinants. Commun. Math. Phys. 1998, 191:543. 10.1007/s002200050277, ",".
    • (1998) Commun. Math. Phys. , vol.191 , pp. 543
    • Di Francesco, P.1
  • 18
    • 0034345133 scopus 로고    scopus 로고
    • Folding and coloring problems in mathematics and physics
    • 10.1090/S0273-0979-00-00870-3, "," .
    • Di Francesco P. Folding and coloring problems in mathematics and physics. Bull. Am. Math. Soc. 2000, 37:251. 10.1090/S0273-0979-00-00870-3, ",".
    • (2000) Bull. Am. Math. Soc. , vol.37 , pp. 251
    • Di Francesco, P.1
  • 19
    • 0003190044 scopus 로고    scopus 로고
    • Meanders and the Temperley-Lieb algebra
    • 10.1007/BF02885671, and , "," .
    • Di Francesco P. Golinelli O. Guitter E. Meanders and the Temperley-Lieb algebra. Commun. Math. Phys. 1997, 186:1. 10.1007/BF02885671, and ",".
    • (1997) Commun. Math. Phys. , vol.186 , pp. 1
    • Di Francesco, P.1    Golinelli, O.2    Guitter, E.3
  • 20
    • 0034719552 scopus 로고    scopus 로고
    • Meanders: exact asymptotics
    • 10.1016/S0550-3213(99)00753-1, and , "," .
    • Di Francesco P. Golinelli O. Guitter E. Meanders: exact asymptotics. Nucl. Phys. B 2000, 570:699. 10.1016/S0550-3213(99)00753-1, and ",".
    • (2000) Nucl. Phys. B , vol.570 , pp. 699
    • Di Francesco, P.1    Golinelli, O.2    Guitter, E.3
  • 21
    • 67349194073 scopus 로고    scopus 로고
    • Random matrices, free probability, planar algebras and subfactors
    • "," Proc. NCG, to appear.
    • Guionnet A. Jones F.R. V. Shlyakhtenko D. Random matrices, free probability, planar algebras and subfactors. and "," Proc. NCG, to appear.
    • Guionnet, A.1    Jones, F.R.V.2    Shlyakhtenko, D.3
  • 22
    • 78650612061 scopus 로고    scopus 로고
    • Multiplicative free square of the free Poisson measure and examples of free symmetrization
    • 10.4064/cm119-1-8, and , "," .
    • Hinz M. Młotkowski W. Multiplicative free square of the free Poisson measure and examples of free symmetrization. Colloq. Math. 2010, 119:127. 10.4064/cm119-1-8, and ",".
    • (2010) Colloq. Math. , vol.119 , pp. 127
    • Hinz, M.1    Młotkowski, W.2
  • 23
    • 0007161477 scopus 로고
    • The lattice of noncrossing partitions and the Birkhoff-Lewis equations
    • 10.1006/eujc.1994.1026, "," .
    • Jackson D. The lattice of noncrossing partitions and the Birkhoff-Lewis equations. European J. Combin. 1994, 15:245. 10.1006/eujc.1994.1026, ",".
    • (1994) European J. Combin. , vol.15 , pp. 245
    • Jackson, D.1
  • 24
    • 0037744294 scopus 로고    scopus 로고
    • The planar algebra of a bipartite graph
    • "," in Knots in Hellas '98 , 94-117.
    • Jones V.F. R. The planar algebra of a bipartite graph. 2000, "," in Knots in Hellas '98 94-117.
    • (2000)
    • Jones, V.F.R.1
  • 25
    • 0038330342 scopus 로고    scopus 로고
    • The annular structure of subfactors
    • "," .
    • Jones V.F. R. The annular structure of subfactors. Monogr. Enseign. Math. 2001, 38:401. ",".
    • (2001) Monogr. Enseign. Math. , vol.38 , pp. 401
    • Jones, V.F.R.1
  • 26
    • 77954128086 scopus 로고    scopus 로고
    • An orthogonal approach to the subfactor of a planar algebra
    • 10.2140/pjm.2010.246.187, and , "," .
    • Jones V.F. R. Shlyakhtenko D. Walker K. An orthogonal approach to the subfactor of a planar algebra. Pacific J. Math. 2010, 246:187. 10.2140/pjm.2010.246.187, and ",".
    • (2010) Pacific J. Math. , vol.246 , pp. 187
    • Jones, V.F.R.1    Shlyakhtenko, D.2    Walker, K.3
  • 27
    • 78650627032 scopus 로고    scopus 로고
    • Temperley-Lieb and non-crossing partition planar algebras
    • "," .
    • Kodiyalam V. Sunder S.V. Temperley-Lieb and non-crossing partition planar algebras. Contemp. Math. 2008, 456:61-72. and ",".
    • (2008) Contemp. Math. , vol.456 , pp. 61-72
    • Kodiyalam, V.1    Sunder, S.V.2
  • 28
    • 0041529820 scopus 로고    scopus 로고
    • Cumulants, lattice paths, and orthogonal polynomials
    • 10.1016/S0012-365X(02)00834-8, "," .
    • Lehner F. Cumulants, lattice paths, and orthogonal polynomials. Discrete Math. 2003, 270:177. 10.1016/S0012-365X(02)00834-8, ",".
    • (2003) Discrete Math. , vol.270 , pp. 177
    • Lehner, F.1
  • 29
    • 84968501359 scopus 로고
    • Determinants on semilattices
    • "," .
    • Lindstöm B. Determinants on semilattices. Proc. Am. Math. Soc. 1969, 20:207. ",".
    • (1969) Proc. Am. Math. Soc. , vol.20 , pp. 207
    • Lindstöm, B.1
  • 31
    • 68349160607 scopus 로고    scopus 로고
    • Combinatorial relation between free cumulants and Jacobi parameters
    • 10.1142/S0219025709003653, "," .
    • Młotkowski W. Combinatorial relation between free cumulants and Jacobi parameters. Infinite Dimen. Anal. Quantum Probab. Relat. Top. 2009, 12:291. 10.1142/S0219025709003653, ",".
    • (2009) Infinite Dimen. Anal. Quantum Probab. Relat. Top. , vol.12 , pp. 291
    • Młotkowski, W.1
  • 32
    • 79952490583 scopus 로고    scopus 로고
    • Isomorphisms and fusion rules of orthogonal free quantum groups and their complexifications
    • "," e-print arXiv:1006.2979.
    • Raum S. Isomorphisms and fusion rules of orthogonal free quantum groups and their complexifications. "," e-print arXiv:1006.2979.
    • Raum, S.1
  • 33
    • 0007161961 scopus 로고
    • The matrix of chromatic joins
    • 10.1006/jctb.1993.1021, "," .
    • Tutte T.W. The matrix of chromatic joins. J. Combin. Theory Ser. B 1993, 57:269. 10.1006/jctb.1993.1021, ",".
    • (1993) J. Combin. Theory Ser. B , vol.57 , pp. 269
    • Tutte, T.W.1
  • 35
    • 36749112217 scopus 로고
    • Asymptotic behavior of group integrals in the limit of infinite rank
    • 10.1063/1.523807, "," .
    • Weingarten D. Asymptotic behavior of group integrals in the limit of infinite rank. J. Math. Phys. 1978, 19:999. 10.1063/1.523807, ",".
    • (1978) J. Math. Phys. , vol.19 , pp. 999
    • Weingarten, D.1
  • 36
    • 1542483491 scopus 로고
    • Compact matrix pseudogroups
    • 10.1007/BF01219077, "," .
    • Woronowicz L.S. Compact matrix pseudogroups. Comm. Math. Phys. 1987, 111:613. 10.1007/BF01219077, ",".
    • (1987) Comm. Math. Phys. , vol.111 , pp. 613
    • Woronowicz, L.S.1
  • 37
    • 0002119476 scopus 로고
    • Tannaka-Krein duality for compact matrix pseudogroups. Twisted SU(N) groups
    • 10.1007/BF01393687, "," .
    • Woronowicz S.L. Tannaka-Krein duality for compact matrix pseudogroups. Twisted SU(N) groups. Invent. Math. 1988, 93:35. 10.1007/BF01393687, ",".
    • (1988) Invent. Math. , vol.93 , pp. 35
    • Woronowicz, S.L.1
  • 38
    • 77949774189 scopus 로고    scopus 로고
    • Jucys-Murphy elements and Weingarten matrices
    • 10.1007/s11005-009-0365-9, "," .
    • Zinn-Justin P. Jucys-Murphy elements and Weingarten matrices. Lett. Math. Phys. 2010, 91:119. 10.1007/s11005-009-0365-9, ",".
    • (2010) Lett. Math. Phys. , vol.91 , pp. 119
    • Zinn-Justin, P.1


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