Lie theory of finite simple groups and the Roth property

DOI10.1017/S030500411600102XzbMath1426.46047arXiv1003.5611OpenAlexW2962831166WikidataQ115335998 ScholiaQ115335998MaRDI QIDQ5360465

Konstanze Rietsch, Shahn Majid, Javier López Peña

Publication date: 28 September 2017

Full work available at URL: https://arxiv.org/abs/1003.5611

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Noncommutative differential geometry (46L87) Noncommutative geometry (à la Connes) (58B34) General theory for finite permutation groups (20B05)

Related Items (6)

Hodge star as braided Fourier transform ⋮ Noncommutative Riemannian geometry on graphs ⋮ Local-global invariants of finite and infinite groups: around Burnside from another side. ⋮ Lie theory and coverings of finite groups ⋮ Spectral measures for G2, II: Finite subgroups ⋮ Entropic order parameters for the phases of QFT

Uses Software

• GAP
• SageMath

Cites Work

• The magnitude of metric spaces
• Noncommutative Riemannian geometry on graphs
• Theorem about the conjugacy representation of \(S_ n\)
• Ein weiterer Beweis, daß die konjugierende Darstellung der symmetrischen Gruppe jede irreduzible Darstellung enthält. (A further proof that the conjugating representation of the symmetric group contains every irreducible representation)
• Quantum and braided-Lie algebras
• Noncommutative Riemannian geometry of the alternating group \({\mathcal A}_{4}\)
• Differential calculus on compact matrix pseudogroups (quantum groups)
• Braided Lie algebras and bicovariant differential calculi over co-quasitriangular Hopf algebras
• The adjoint representation of group algebras and enveloping algebras
• Lie theory and coverings of finite groups
• SOLUTIONS OF THE YANG-BAXTER EQUATIONS FROM BRAIDED-LIE ALGEBRAS AND BRAIDED GROUPS
• Conjugacy action, induced representations and the Steinberg square for simple groups of Lie type
• On the conjugating representation of a finite group
• Riemannian geometry of quantum groups and finite groups with nonuniversal differentials
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