GROWTH ESTIMATES FOR DISCRETE QUANTUM GROUPS

DOI10.1142/S0219025709003677zbMath1189.46059arXivmath/0611232MaRDI QIDQ5325574

Roland Vergnioux, Teodor Banica

Publication date: 10 August 2009

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0611232

zbMATH Keywords

quantum grouprandom walkgrowth functionWeyl formula

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Noncommutative differential geometry (46L87) Quantizations, deformations for selfadjoint operator algebras (46L65) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15) Probabilistic methods in group theory (20P05)

Related Items (10)

Fusion rules for quantum reflection groups ⋮ Polynomial growth of discrete quantum groups, topological dimension of the dual and *-regularity of the Fourier algebra ⋮ On the Sobolev embedding properties for compact matrix quantum groups of Kac type ⋮ Hardy-Littlewood inequalities on compact quantum groups of Kac type ⋮ Entropic uncertainty relations under localizations on discrete quantum groups ⋮ Invariants of the half-liberated orthogonal group ⋮ A theorem for random Fourier series on compact quantum groups ⋮ Maximal torus theory for compact quantum groups ⋮ Gelfand-Kirillov dimension of the quantized algebra of regular functions on homogeneous spaces ⋮ Gelfand-Kirillov dimension of cosemisimple Hopf algebras

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