Publications

  1. with I. Nechita and K. Zyczkowski, Almost Hadamard matrices: general theory and examples, arxiv:1202.2025.

  2. with I. Nechita, Block-modified Wishart matrices and free Poisson laws, arxiv:1201.4792.

  3. Quantum permutations, Hadamard matrices, and the search for matrix models, arxiv:1109.4888.

  4. with J. Bhowmick and K. De Commer, Quantum isometries and group dual subgroups, Ann. Math. Blaise Pascal, to appear.

  5. with A. Skalski, Quantum symmetry groups of C*-algebras equipped with orthogonal filtrations, Proc. Lond. Math. Soc., to appear.

  6. with J. Bichon, B. Collins and S. Curran, A maximality result for orthogonal quantum groups, Comm. Algebra, to appear.

  7. with I. Nechita, Asymptotic eigenvalue distributions of block-transposed Wishart matrices, J. Theoret. Probab, to appear.

  8. with U. Franz and A. Skalski, Idempotent states and the inner linearity property, Bull. Pol. Acad. Sci. Math. 60 (2012), 123-132.

  9. with A. Skalski and P.M. Soltan, Noncommutative homogeneous spaces: the matrix case, J. Geom. Phys. 62 (2012), 1451-1466.

  10. with J. Bichon and S. Natale, Finite quantum groups and quantum permutation groups, Adv. Math. 229 (2012), 3320-3338.

  11. with A. Skalski, Quantum isometry groups of duals of free powers of cyclic groups, Int. Math. Res. Not. 9 (2012), 2094-2122.

  12. with S. Curran and R. Speicher, De Finetti theorems for easy quantum groups, Ann. Probab. 40 (2012), 401-435.

  13. with J.-M. Schlenker, Combinatorial aspects of orthogonal group integrals, Internat. J. Math. 22 (2011), 1611-1646.

  14. with A. Skalski, Two-parameter families of quantum symmetry groups, J. Funct. Anal. 260 (2011), 3252-3282.

  15. with J. Bichon and S. Curran, Quantum automorphisms of twisted group algebras and free hypergeometric laws, Proc. Amer. Math. Soc. 139 (2011), 3961-3971.

  16. with B. Collins and J.-M. Schlenker, On polynomial integrals over the orthogonal group, J. Combin. Theory Ser. A 118 (2011), 778-795.

  17. with S. Curran and R. Speicher, Stochastic aspects of easy quantum groups, Probab. Theory Related Fields 149 (2011), 435-462.

  18. with S.T. Belinschi, M. Capitaine and B. Collins, Free Bessel laws, Canad. J. Math. 63 (2011), 3-37.

  19. with S. Curran, Decomposition results for Gram matrix determinants, J. Math. Phys. 51 (2010), 1-14.

  20. The orthogonal Weingarten formula in compact form, Lett. Math. Phys. 91 (2010), 105-118.

  21. with S. Curran and R. Speicher, Classification results for easy quantum groups, Pacific J. Math. 247 (2010), 1-26.

  22. with D. Goswami, Quantum isometries and noncommutative spheres, Comm. Math. Phys. 298 (2010), 343-356.

  23. with R. Vergnioux, Invariants of the half-liberated orthogonal group, Ann. Inst. Fourier 60 (2010), 2137-2164.

  24. with B. Collins and J.-M. Schlenker, On orthogonal matrices maximizing the 1-norm, Indiana Univ. Math. J. 59 (2010), 839-856.

  25. with J. Bichon, Hopf images and inner faithful representations, Glasg. Math. J. 52 (2010), 677-703.

  26. with J. Bichon and J.-M. Schlenker, Representations of quantum permutation algebras, J. Funct. Anal. 257 (2009), 2864-2910.

  27. with B. Collins and P. Zinn-Justin, Spectral analysis of the free orthogonal matrix, Int. Math. Res. Not. 17 (2009), 3286-3309.

  28. with R. Speicher, Liberation of orthogonal Lie groups, Adv. Math. 222 (2009), 1461-1501.

  29. with R. Vergnioux, Fusion rules for quantum reflection groups, J. Noncommut. Geom. 3 (2009), 327-359.

  30. Cyclotomic expansion of exceptional spectral measures, Internat. J. Math. 20 (2009), 275-297.

  31. with J. Bichon, Quantum groups acting on 4 points, J. Reine Angew. Math. 626 (2009), 74-114.

  32. with R. Vergnioux, Growth estimates for discrete quantum groups, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 12 (2009), 321-340.

  33. A note on free quantum groups, Ann. Math. Blaise Pascal 15 (2008), 135-146.

  34. with B. Collins, Integration over the Pauli quantum group, J. Geom. Phys. 58 (2008), 942-961.

  35. with J. Bichon and B. Collins, The hyperoctahedral quantum group, J. Ramanujan Math. Soc. 22 (2007), 345-384.

  36. with J. Bichon and B. Collins, Quantum permutation groups: a survey, Banach Center Publ. 78 (2007), 13-34.

  37. with R. Nicoara, Quantum groups and Hadamard matrices, Panamer. Math. J. 17 (2007), 1-24.

  38. with B. Collins, Integration over quantum permutation groups, J. Funct. Anal. 242 (2007), 641-657.

  39. with J. Bichon and G. Chenevier, Graphs having no quantum symmetry, Ann. Inst. Fourier 57 (2007), 955-971.

  40. with D. Bisch, Spectral measures of small index principal graphs, Comm. Math. Phys. 269 (2007), 259-281.

  41. with J. Bichon, Quantum automorphism groups of vertex-transitive graphs of order ≤ 11, J. Algebraic Combin. 26 (2007), 83-105.

  42. with B. Collins, Integration over compact quantum groups, Publ. Res. Inst. Math. Sci. 43 (2007), 277-302.

  43. with J. Bichon, Free product formulae for quantum permutation groups, J. Inst. Math. Jussieu 6 (2007), 381-414.

  44. with S. Moroianu, On the structure of quantum permutation groups, Proc. Amer. Math. Soc. 135 (2007), 21-29.

  45. Quantum automorphism groups of homogeneous graphs, J. Funct. Anal. 224 (2005), 243-280.

  46. Quantum automorphism groups of small metric spaces, Pacific J. Math. 219 (2005), 27-51.

  47. The planar algebra of a coaction, J. Operator Theory 53 (2005), 119-158.

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

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

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

  51. Symmetries of a generic coaction, Math. Ann. 314 (1999), 763-780.

  52. Fusion rules for representations of compact quantum groups, Exposition. Math. 17 (1999), 313-337.

  53. Representations of compact quantum groups and subfactors, J. Reine Angew. Math. 509 (1999), 167-198.

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

  55. Le groupe quantique compact libre U(n), Comm. Math. Phys. 190 (1997), 143-172.

  56. Théorie des représentations du groupe quantique compact libre O(n), C. R. Acad. Sci. Paris Ser. I Math. 322 (1996), 241-244.

  57. On the polar decomposition of circular variables, Integral Equations Operator Theory 24 (1996), 372-377.