Publications and preprints

  1. with I. Nechita and K. Zyczkowski, Almost Hadamard matrices: general theory and examples, arxiv:1202.xxxx.

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

  3. with J. Bhowmick and K. De Commer, Quantum isometries and group dual subgroups, arxiv:1201.3392.

  4. with U. Franz and A. Skalski, Idempotent states and the inner linearity property, arxiv:1112.5018.

  5. with A. Skalski, Quantum symmetry groups of C*-algebras equipped with orthogonal filtrations, arxiv:1109.6184.

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

  7. with A. Skalski and P.M. Soltan, Noncommutative homogeneous spaces: the matrix case, J. Geom. Phys., to appear.

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

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

  10. with J. Bichon and S. Natale, Finite quantum groups and quantum permutation groups, Adv. Math., to appear.

  11. with A. Skalski, Quantum isometry groups of duals of free powers of cyclic groups, Int. Math. Res. Not., to appear.

  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.