On the Haar measure of the quantum \(SU(N)\) group

DOI10.1007/BF02096641zbMath0779.17015MaRDI QIDQ1803530

Gabriel B. Nagy

Publication date: 29 June 1993

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

zbMATH Keywords

Haar measurecompact quantum group

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Measures and integration on abstract linear spaces (46G12)

Related Items (17)

A von Neumann algebra framework for the duality of the quantum groups ⋮ Equivariant Poincaré duality for quantum group actions ⋮ Leaf-preserving quantizations of Poisson SU(2) are not coalgebra homomorphisms ⋮ The homogeneous coordinate ring of the quantum projective plane ⋮ Connected components of compact matrix quantum groups and finiteness conditions ⋮ Déformations de $C\sp*$-algèbres de Hopf ⋮ The field of quantum \(\mathrm{GL}(N,\mathbb {C})\) in the \(\mathrm C^*\)-algebraic setting ⋮ Operator algebra quantum homogeneous spaces of universal gauge groups ⋮ The structure of quantum spheres ⋮ Compact quantum groups and groupoid \(C^*\)-algebras ⋮ Co-amenability of compact quantum groups ⋮ Extensions and degenerations of spectral triples ⋮ Woronowicz construction of compact quantum groups for functions on permutations. classification result for \(N=3\) ⋮ Compact quantum metric spaces and ergodic actions of compact quantum groups ⋮ Representations and classification of the compact quantum groups Uq(2) for complex deformation parameters ⋮ Projections over quantum homogeneous odd-dimensional spheres ⋮ The K-theory of the compact quantum group SU_q(2) for q = -1

Cites Work

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• A Golden-Thompson inequality in supersymmetric quantum mechanics
• The twisted SU(N) group. On the \(C^*\)-algebra \(C(S_{\mu}U(N))\)
• A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
• Compact matrix pseudogroups
• Tannaka-Krein duality for compact matrix pseudogroups. Twisted SU(N) groups
• Poisson manifolds and the Schouten bracket
• Twisted \(\text{SU}(2)\) group. An example of a non-commutative differential calculus
• On nuclear C\(^*\)-algebras
• Quantization of the Poisson SU(2) and its Poisson homogeneous space - the 2-sphere
• Algèbres enveloppantes quantifiées, groupes quantiques compacts de matrices et calcul différentiel non commutatif. (Quantized enveloping algebras, compact quantum matrix groups and noncommutative differential calculus)

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