A locally compact quantum group arising from quantization of the affine group of a local field

DOI10.1007/s11005-018-1126-4zbMath1411.81117arXiv1806.06565OpenAlexW3106230875MaRDI QIDQ1737087

David Jondreville

Publication date: 26 March 2019

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

Full work available at URL: https://arxiv.org/abs/1806.06565

zbMATH Keywords

local fieldslocally compact quantum groupsequivariant quantization

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) General theory of von Neumann algebras (46L10) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Affine algebraic groups, hyperalgebra constructions (14L17)

Related Items (3)

From projective representations to pentagonal cohomology via quantization ⋮ Quantization of subgroups of the affine group ⋮ Representations of the infinite-dimensional p-adic affine group

Cites Work

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• Deformation quantization for actions of \(\mathbb{Q}^d_p\)
• Deformation of \(C^\ast\)-algebras by cocycles on locally compact quantum groups
• Induced representation of locally compact groups. I
• Galois objects and cocycle twisting for locally compact quantum groups
• Locally compact quantum groups in the von Neumann algebraic setting
• The calculus of pseudo—differential operators of fuchs type
• Distributions sur un groupe localement compact et applications à l'étude des représentations des groupes $p$-adiques
• Locally compact quantum groups

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