A Maximality Result for Orthogonal Quantum Groups
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Publication:4916426
DOI10.1080/00927872.2011.633138zbMath1291.46069arXiv1106.5467OpenAlexW2033351572MaRDI QIDQ4916426
Julien Bichon, Stephen Curran, Benoit Collins, Teodor Banica
Publication date: 22 April 2013
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1106.5467
Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89) Ring-theoretic aspects of quantum groups (16T20) Hopf algebras and their applications (16T05)
Related Items (10)
Introduction to compact (matrix) quantum groups and Banica-Speicher (easy) quantum groups ⋮ The Connes embedding property for quantum group von Neumann algebras ⋮ Quantum groups under very strong axioms ⋮ Quantum groups of \(\mathrm{GL}(2)\) representation type. ⋮ Categories of two-colored pair partitions. Part II: Categories indexed by semigroups ⋮ Easy quantum groups and quantum subgroups of a semi-direct product quantum group ⋮ Homogeneous quantum groups and their easiness level ⋮ Uniqueness results for noncommutative spheres and projective spaces ⋮ Topological generation results for free unitary and orthogonal groups ⋮ Generating linear categories of partitions
Cites Work
- Classification results for easy quantum groups
- Invariants of the half-liberated orthogonal group
- Stochastic aspects of easy quantum groups
- De Finetti theorems for easy quantum groups
- Liberation of orthogonal Lie groups
- Principal homogeneous spaces for arbitrary Hopf algebras
- A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
- Compact matrix pseudogroups
- Tannaka-Krein duality for compact matrix pseudogroups. Twisted SU(N) groups
- Normal basis and transitivity of crossed products for Hopf algebras
- Quantum symmetry groups of finite spaces
- Free products of compact quantum groups
- Symmetries of quantum spaces. Subgroups and quotient spaces of quantum \(SU(2)\) and \(SO(3)\) groups
- Quantum automorphisms of twisted group algebras and free hypergeometric laws
- Quantum subgroups of a simple quantum group at roots of one
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