Publications

  1. with A. Chirvasitu, Stationarity questions for transitive quantum groups, preprint 2017.
  2. Block-modified Wishart matrices: the easy case, preprint 2017.
  3. Unitary easy quantum groups: geometric aspects, preprint 2017.
  4. with A. Chirvasitu, Faithful matrix models for discrete quantum groups, preprint 2017.
  5. Tannakian duality for affine homogeneous spaces, preprint 2017.
  6. Rigidity questions for real half-classical manifolds, preprint 2017.
  7. with D. Ozteke and L. Pittau, Isolated partial Hadamard matrices, and related topics, preprint 2017.
  8. Super-easy quantum groups: definition and examples, preprint 2017.
  9. with A. Freslon, Modelling questions for quantum permutations, preprint 2017.

  10. Complex Hadamard matrices with noncommutative entries, Ann. Funct. Anal., to appear.
  11. with A. Chirvasitu, Thoma type results for discrete quantum groups, Internat. J. Math., to appear.
  12. with I. Patri, Maximal torus theory for compact quantum groups, Illinois J. Math., to appear.

  13. with I. Nechita, Almost Hadamard matrices with complex entries, Adv. Oper. Theory 3 (2018), 149-189.

  14. with J. Bichon, Complex analogues of the half-classical geometry, Munster J. Math. 10 (2017), 457-483.
  15. with J. Bichon, Matrix models for noncommutative algebraic manifolds, J. Lond. Math. Soc. 95 (2017), 519-540.
  16. Weingarten integration over noncommutative homogeneous spaces, Ann. Math. Blaise Pascal 24 (2017), 195-224.
  17. Quantum groups from stationary matrix models, Colloq. Math. 148 (2017), 247-267.
  18. Deformed Fourier models with formal parameters, Studia Math. 239 (2017), 201-224.
  19. with I. Nechita, Flat matrix models for quantum permutation groups, Adv. Appl. Math. 83 (2017), 24-46.
  20. Quantum isometries, noncommutative spheres, and related integrals, Banach Center Publ. 111 (2017), 101-144.
  21. Liberation theory for noncommutative homogeneous spaces, Ann. Fac. Sci. Toulouse Math. 26 (2017), 127-156.
  22. Half-liberated manifolds, and their quantum isometries, Glasg. Math. J. 59 (2017), 463-492.

  23. A duality principle for noncommutative cubes and spheres, J. Noncommut. Geom. 10 (2016), 1043-1081.
  24. The algebraic structure of quantum partial isometries, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 19 (2016), 1-36.

  25. with S. Meszaros, Uniqueness results for noncommutative spheres and projective spaces, Illinois J. Math. 59 (2015), 219-233.
  26. Quantum isometries of noncommutative polygonal spheres, Munster J. Math. 8 (2015), 253-284.
  27. Liberations and twists of real and complex spheres, J. Geom. Phys. 96 (2015), 1-25.
  28. The glow of Fourier matrices: universality and fluctuations, Oper. Matrices 9 (2015), 457-474.
  29. with J. Bichon, Random walk questions for linear quantum groups, Int. Math. Res. Not. 24 (2015), 13406-13436.
  30. with A. Skalski, The quantum algebra of partial Hadamard matrices, Linear Algebra Appl. 469 (2015), 364-380.
  31. with I. Nechita, Block-modified Wishart matrices and free Poisson laws, Houston J. Math. 41 (2015), 113-134.

  32. Truncation and duality results for Hopf image algebras, Bull. Pol. Acad. Sci. Math. 62 (2014), 161-179.
  33. Counting results for thin Butson matrices, Electron. J. Combin. 21 (2014), 1-14.
  34. with I. Nechita and J.-M. Schlenker, Submatrices of Hadamard matrices: complementation results, Electron. J. Linear Algebra 27 (2014), 197-212.
  35. First order deformations of the Fourier matrix, J. Math. Phys. 55 (2014), 1-22.
  36. with I. Nechita and J.-M. Schlenker, Analytic aspects of the circulant Hadamard conjecture, Ann. Math. Blaise Pascal 21 (2014), 25-59.

  37. with I. Nechita, Almost Hadamard matrices: the case of arbitrary exponents, Discrete Appl. Math. 161 (2013), 2367-2379.
  38. The defect of generalized Fourier matrices, Linear Algebra Appl. 438 (2013), 3667-3688.
  39. with A. Skalski, Quantum symmetry groups of C*-algebras equipped with orthogonal filtrations, Proc. Lond. Math. Soc. 106 (2013), 980-1004.
  40. with J. Bichon, B. Collins and S. Curran, A maximality result for orthogonal quantum groups, Comm. Algebra 41 (2013), 656-665.
  41. with I. Nechita, Asymptotic eigenvalue distributions of block-transposed Wishart matrices, J. Theoret. Probab. 26 (2013), 855-869.

  42. with I. Nechita and K. Zyczkowski, Almost Hadamard matrices: general theory and examples, Open Syst. Inf. Dyn. 19 (2012), 1-26.
  43. with J. Bhowmick and K. De Commer, Quantum isometries and group dual subgroups, Ann. Math. Blaise Pascal 19 (2012), 17-43.
  44. with U. Franz and A. Skalski, Idempotent states and the inner linearity property, Bull. Pol. Acad. Sci. Math. 60 (2012), 123-132.
  45. with A. Skalski and P.M. Soltan, Noncommutative homogeneous spaces: the matrix case, J. Geom. Phys. 62 (2012), 1451-1466.
  46. Quantum permutations, Hadamard matrices, and the search for matrix models, Banach Center Publ. 98 (2012), 11-42.
  47. with J. Bichon and S. Natale, Finite quantum groups and quantum permutation groups, Adv. Math. 229 (2012), 3320-3338.
  48. with A. Skalski, Quantum isometry groups of duals of free powers of cyclic groups, Int. Math. Res. Not. 9 (2012), 2094-2122.
  49. with S. Curran and R. Speicher, De Finetti theorems for easy quantum groups, Ann. Probab. 40 (2012), 401-435.

  50. with J.-M. Schlenker, Combinatorial aspects of orthogonal group integrals, Internat. J. Math. 22 (2011), 1611-1646.
  51. with A. Skalski, Two-parameter families of quantum symmetry groups, J. Funct. Anal. 260 (2011), 3252-3282.
  52. with J. Bichon and S. Curran, Quantum automorphisms of twisted group algebras and free hypergeometric laws, Proc. Amer. Math. Soc. 139 (2011), 3961-3971.
  53. with B. Collins and J.-M. Schlenker, On polynomial integrals over the orthogonal group, J. Combin. Theory Ser. A 118 (2011), 778-795.
  54. with S. Curran and R. Speicher, Stochastic aspects of easy quantum groups, Probab. Theory Related Fields 149 (2011), 435-462.
  55. with S.T. Belinschi, M. Capitaine and B. Collins, Free Bessel laws, Canad. J. Math. 63 (2011), 3-37.

  56. with S. Curran, Decomposition results for Gram matrix determinants, J. Math. Phys. 51 (2010), 1-14.
  57. The orthogonal Weingarten formula in compact form, Lett. Math. Phys. 91 (2010), 105-118.
  58. with S. Curran and R. Speicher, Classification results for easy quantum groups, Pacific J. Math. 247 (2010), 1-26.
  59. with D. Goswami, Quantum isometries and noncommutative spheres, Comm. Math. Phys. 298 (2010), 343-356.
  60. with R. Vergnioux, Invariants of the half-liberated orthogonal group, Ann. Inst. Fourier 60 (2010), 2137-2164.
  61. with B. Collins and J.-M. Schlenker, On orthogonal matrices maximizing the 1-norm, Indiana Univ. Math. J. 59 (2010), 839-856.
  62. with J. Bichon, Hopf images and inner faithful representations, Glasg. Math. J. 52 (2010), 677-703.

  63. with J. Bichon and J.-M. Schlenker, Representations of quantum permutation algebras, J. Funct. Anal. 257 (2009), 2864-2910.
  64. with B. Collins and P. Zinn-Justin, Spectral analysis of the free orthogonal matrix, Int. Math. Res. Not. 17 (2009), 3286-3309.
  65. with R. Speicher, Liberation of orthogonal Lie groups, Adv. Math. 222 (2009), 1461-1501.
  66. with R. Vergnioux, Fusion rules for quantum reflection groups, J. Noncommut. Geom. 3 (2009), 327-359.
  67. Cyclotomic expansion of exceptional spectral measures, Internat. J. Math. 20 (2009), 275-297.
  68. with J. Bichon, Quantum groups acting on 4 points, J. Reine Angew. Math. 626 (2009), 74-114.
  69. with R. Vergnioux, Growth estimates for discrete quantum groups, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 12 (2009), 321-340.

  70. A note on free quantum groups, Ann. Math. Blaise Pascal 15 (2008), 135-146.
  71. with B. Collins, Integration over the Pauli quantum group, J. Geom. Phys. 58 (2008), 942-961.

  72. with J. Bichon and B. Collins, The hyperoctahedral quantum group, J. Ramanujan Math. Soc. 22 (2007), 345-384.
  73. with J. Bichon and B. Collins, Quantum permutation groups: a survey, Banach Center Publ. 78 (2007), 13-34.
  74. with R. Nicoara, Quantum groups and Hadamard matrices, Panamer. Math. J. 17 (2007), 1-24.
  75. with B. Collins, Integration over quantum permutation groups, J. Funct. Anal. 242 (2007), 641-657.
  76. with J. Bichon and G. Chenevier, Graphs having no quantum symmetry, Ann. Inst. Fourier 57 (2007), 955-971.
  77. with D. Bisch, Spectral measures of small index principal graphs, Comm. Math. Phys. 269 (2007), 259-281.
  78. with J. Bichon, Quantum automorphism groups of vertex-transitive graphs of order ≤ 11, J. Algebraic Combin. 26 (2007), 83-105.
  79. with B. Collins, Integration over compact quantum groups, Publ. Res. Inst. Math. Sci. 43 (2007), 277-302.
  80. with J. Bichon, Free product formulae for quantum permutation groups, J. Inst. Math. Jussieu 6 (2007), 381-414.
  81. with S. Moroianu, On the structure of quantum permutation groups, Proc. Amer. Math. Soc. 135 (2007), 21-29.

  82. Quantum automorphism groups of homogeneous graphs, J. Funct. Anal. 224 (2005), 243-280.
  83. Quantum automorphism groups of small metric spaces, Pacific J. Math. 219 (2005), 27-51.
  84. The planar algebra of a coaction, J. Operator Theory 53 (2005), 119-158.

  85. Quantum groups and Fuss-Catalan algebras, Comm. Math. Phys. 226 (2002), 221-232.

  86. Subfactors associated to compact Kac algebras, Integral Equations Operator Theory 39 (2001), 1-14.

  87. Compact Kac algebras and commuting squares, J. Funct. Anal. 176 (2000), 80-99.

  88. Symmetries of a generic coaction, Math. Ann. 314 (1999), 763-780.
  89. Fusion rules for representations of compact quantum groups, Exposition. Math. 17 (1999), 313-337.
  90. Representations of compact quantum groups and subfactors, J. Reine Angew. Math. 509 (1999), 167-198.

  91. Hopf algebras and subfactors associated to vertex models, J. Funct. Anal. 159 (1998), 243-266.

  92. The free unitary compact quantum group, Comm. Math. Phys. 190 (1997), 143-172.

  93. The representation theory of free orthogonal quantum groups, C. R. Acad. Sci. Paris Ser. I Math. 322 (1996), 241-244.
  94. On the polar decomposition of circular variables, Integral Equations Operator Theory 24 (1996), 372-377.