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BANICA, TEODOR. HALF-LIBERATED MANIFOLDS AND THEIR QUANTUM ISOMETRIES. Glasgow mathematical journal, Tome 59 (2017) no. 2, pp. 463-492. doi: 10.1017/S0017089516000288
@article{10_1017_S0017089516000288,
author = {BANICA, TEODOR},
title = {HALF-LIBERATED {MANIFOLDS} {AND} {THEIR} {QUANTUM} {ISOMETRIES}},
journal = {Glasgow mathematical journal},
pages = {463--492},
year = {2017},
volume = {59},
number = {2},
doi = {10.1017/S0017089516000288},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089516000288/}
}
TY - JOUR AU - BANICA, TEODOR TI - HALF-LIBERATED MANIFOLDS AND THEIR QUANTUM ISOMETRIES JO - Glasgow mathematical journal PY - 2017 SP - 463 EP - 492 VL - 59 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089516000288/ DO - 10.1017/S0017089516000288 ID - 10_1017_S0017089516000288 ER -
[1] 1. , A note on free quantum groups, Ann. Math. Blaise Pascal 15 (2008), 135–146. Google Scholar
[2] 2. , Liberations and twists of real and complex spheres, J. Geom. Phys. 96 (2015), 1–25. Google Scholar
[3] 3. and , Integration over compact quantum groups, Publ. Res. Inst. Math. Sci. 43 (2007), 277–302. Google Scholar | DOI
[4] 4. and , Quantum isometries and noncommutative spheres, Comm. Math. Phys. 298 (2010), 343–356. Google Scholar
[5] 5. and , Liberation of orthogonal Lie groups, Adv. Math. 222 (2009), 1461–1501. Google Scholar
[6] 6. and , Invariants of the half-liberated orthogonal group, Ann. Inst. Fourier 60 (2010), 2137–2164. Google Scholar
[7] 7. and , Stable laws and domains of attraction in free probability theory, Ann. of Math. 149 (1999), 1023–1060. Google Scholar
[8] 8. , and , Quantum isometries of the finite noncommutative geometry of the standard model, Comm. Math. Phys. 307 (2011), 101–131. Google Scholar
[9] 9. and , Quantum isometry groups: examples and computations, Comm. Math. Phys. 285 (2009), 421–444. Google Scholar
[10] 10. and , Half-commutative orthogonal Hopf algebras, Pacific J. Math. 263 (2013), 13–28. Google Scholar | DOI
[11] 11. , On quantum symmetries of compact metric spaces, J. Geom. Phys. 94 (2015), 141–157. Google Scholar | DOI
[12] 12. and , Integration with respect to the Haar measure on the unitary, orthogonal and symplectic group, Comm. Math. Phys. 264 (2006), 773–795. Google Scholar
[13] 13. , Existence and examples of quantum isometry groups for a class of compact metric spaces, Adv. Math. 280 (2015), 340–359. Google Scholar
[14] 14. and , Rigidity of action of compact quantum groups on compact, connected manifolds, preprint 2013. Google Scholar
[15] 15. , Faithful compact quantum group actions on connected compact metrizable spaces, J. Geom. Phys. 70 (2013), 232–236. Google Scholar | DOI
[16] 16. and , Isometric coactions of compact quantum groups on compact quantum metric spaces, Proc. Indian Acad. Sci. Math. Sci. 122 (2012), 351–373. Google Scholar
[17] 17. , Isomorphisms and fusion rules of orthogonal free quantum groups and their complexifications, Proc. Amer. Math. Soc. 140 (2012), 3207–3218. Google Scholar | DOI
[18] 18. , Multiplicative functions on the lattice of noncrossing partitions and free convolution, Math. Ann. 298 (1994), 611–628. Google Scholar | DOI
[19] 19. , and , Free random variables, CRM Monograph Series. 1 (American Mathematical Society, Providence, RI, 1992). Google Scholar
[20] 20. , Free products of compact quantum groups, Comm. Math. Phys. 167 (1995), 671–692. Google Scholar
[21] 21. , Quantum symmetry groups of finite spaces, Comm. Math. Phys. 195 (1998), 195–211. Google Scholar | DOI
[22] 22. , Asymptotic behavior of group integrals in the limit of infinite rank, J. Math. Phys. 19 (1978), 999–1001. Google Scholar | DOI
[23] 23. , Compact matrix pseudogroups, Comm. Math. Phys. 111 (1987), 613–665. Google Scholar
[24] 24. , Tannaka-Krein duality for compact matrix pseudogroups. Twisted SU(N) groups, Invent. Math. 93 (1988), 35–76. Google Scholar | DOI
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