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Tannakian Duality for Affine Homogeneous Spaces

  • Teodor Banica (a1)
Abstract

Associated with any closed quantum subgroup and any index set I ⊂ {1,…,N} is a certain homogeneous space , called an affine homogeneous space. Using Tannakian duality methods, we discuss the abstract axiomatization of the algebraic manifolds that can appear in this way.

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[1] Banica, T., Weingarten Integration over noncommutative homogeneous Spaces. Ann. Math. Blaise Pascal 24(2017), no. 2, 195224. http://dx.doi.org/10.5802/ambp.368
[2] Banica, T. and Collins, B., Integration over compact quantum groups. Publ. Res. Inst. Math. Sei. 43(2007), 277302. http://dx.doi.org/10.2977/prims/1201011782
[3] Banica, T. and Goswami, D., Quantum isometries and noncommutative spheres. Comm. Math. Phys. 298(2010), 343356. http://dx.doi.org/10.1007/s00220-010-1060-5
[4] Banica, T. and Meszäros, S., Uniqueness resultsfor noncommutative spheres and projeetive Spaces. Illinois J. Math. 59(2015), 219233.
[5] Collins, B. and Matsumoto, S., Weingarten calculus via orthogonality relations: new appücations. ALEA Lat. Am. J. Probab. Math. Stat. 14(2017), no. 1, 631656.
[6] Collins, B. and Sniady, P., Integration with respect to the Haar measure on the unitary, orthogonal and symplectic group. Comm. Math. Phys. 264(2006), 773795. http://dx.doi.org/10.1007/s00220-006-1554-3
[7] Goswami, D., Quantum group oj isometries in classical and noncommutative geometry. Comm. Math. Phys. 285(2009), 141160. http://dx.doi.org/10.1007/s00220-008-0461-1
[8] Goswami, D., Existence and examples of quantum isometry groups for a class of compact metric Spaces. Adv. Math. 280(2015), 340359. http://dx.doi.Org/10.1016/j.aim.2015.03.024
[9] Malacarne, S., Woronowicz's Tannaka-Krein duality andfree orthogonal quantum groups. Math. Scand. 122(2018), 151160. http://dx.doi.org/10.7146/math.scand.a-97320
[10] Raum, S., Isomorphisms andfusion rules of orthogonal free quantum groups and their complexifications. Proc. Amer. Math. Soc. 140(2012), 32073218. http://dx.doi.org/10.1090/S0002-9939-2012-11264-X
[11] Wang, S., Free produets of compact quantum groups. Comm. Math. Phys. 167(1995), 671692. http://dx.doi.org/10.1007/BF02101540
[12] Weingarten, D., Asymptotic behavior of group Integrals in the limit of infinite rank. J. Mathematical Phys. 19(1978), 9991001. http://dx.doi.Org/10.1063/1.523807
[13] Woronowicz, S. L., Compact matrixpseudogroups. Comm. Math. Phys. 111(1987), 613665. http://dx.doi.Org/10.1007/BF01219077
[14] Woronowicz, S. L., Tannaka-Krein duality for compact matrix pseudogroups. Twisted SU(N) groups. Invent. Math. 93(1988), 3576. http://dx.doi.org/10.1007/BF01393687
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Canadian Mathematical Bulletin
  • ISSN: 0008-4395
  • EISSN: 1496-4287
  • URL: /core/journals/canadian-mathematical-bulletin
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