论文信息 - Anyonic quantum symmetries of finite spaces

Anyonic quantum symmetries of finite spaces

. We construct a braided analogue of the quantum permutation group and show that it is the universal braided compact quantum group acting on a ﬁnite space in the category of Z /N Z -C ∗ -algebras with a twisted monoidal structure.

Sutanu Roy | Anshu | S. Bhattacharjee | Atibur Rahaman

[1] Debashish Goswami,et al. Quantum symmetry on Potts model , 2021, Journal of Mathematical Physics.

[2] Sutanu Roy. Homogeneous quantum symmetries of finite spaces over the circle group , 2021, 2105.01556.

[3] Sutanu Roy,et al. Quantum E(2) groups for complex deformation parameters , 2020, 2004.10005.

[4] R. Meyer,et al. Braided Free Orthogonal Quantum Groups , 2019, International Mathematics Research Notices.

[5] Simon Schmidt,et al. Quantum Symmetries of Graph C *-algebras , 2017, Canadian Mathematical Bulletin.

[6] S. Woronowicz,et al. Quantum group-twisted tensor products of C*-algebras. II , 2013, 1501.04432.

[7] R. Nest,et al. Equivariant Poincaré duality for quantum group actions , 2009, 0902.3987.

[8] S. Vaes. A new approach to induction and imprimitivity results , 2004, math/0407525.

[9] Shuzhou Wang,et al. Quantum Symmetry Groups of Finite Spaces , 1998, math/9807091.

[10] S. Majid. Introduction to Braided Geometry and $q$-Minkowski Space , 1994, hep-th/9410241.

[11] S. Woronowicz,et al. Compact matrix pseudogroups , 1987 .

[12] D. Radford. The structure of Hopf algebras with a projection , 1985 .

[13] Andrew Lesniewski,et al. Noncommutative Geometry , 1997 .