Anyonic quantum symmetries of finite spaces

DOI10.1007/s11005-023-01736-1arXiv2207.08153OpenAlexW4388535314MaRDI QIDQ6187131

Atibur Rahaman, Sutanu Roy, Anshu, Suvrajit Bhattacharjee

Publication date: 10 January 2024

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.08153

zbMATH Keywords

quantum symmetriesbosonizationanyonic quantum permutation groupsbraided compact quantum groups

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89)

Cites Work

• Quantum group-twisted tensor products of \(C^*\)-algebras. II.
• Braided quantum SU(2) groups
• The structure of Hopf algebras with a projection
• Equivariant Poincaré duality for quantum group actions
• Compact matrix pseudogroups
• Twisted \(\text{SU}(2)\) group. An example of a non-commutative differential calculus
• Quantum symmetry groups of finite spaces
• Symmetries of a generic coaction
• Cross products by braided groups and bosonization
• Quantum automorphism groups of homogeneous graphs
• A new approach to induction and imprimitivity results
• Quantum E(2) groups for complex deformation parameters
• Braided Free Orthogonal Quantum Groups
• QUANTUM GROUP-TWISTED TENSOR PRODUCTS OF C*-ALGEBRAS
• Braided Quantum Groups and Their Bosonizations in the C*-Algebraic Framework
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