Quadratic independence of coordinate functions of certain homogeneous spaces and action of compact quantum groups

DOI10.1007/s12044-015-0211-1zbMath1312.81100arXiv1106.5107OpenAlexW2963897974MaRDI QIDQ2344086

Debashish Goswami

Publication date: 12 May 2015

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.5107

zbMATH Keywords

homogeneous spacessimple Lie groupscompact quantum groupquantum isometry

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Noncommutative geometry in quantum theory (81R60) Quantum groups (quantized function algebras) and their representations (20G42) Noncommutative geometry (à la Connes) (58B34)

Related Items (5)

On quantum groups associated to non-Noetherian regular algebras of dimension 2 ⋮ Non-existence of genuine (compact) quantum symmetries of compact, connected smooth manifolds ⋮ Faithful compact quantum group actions on connected compact metrizable spaces ⋮ Non-existence of faithful isometric action of compact quantum groups on compact, connected Riemannian manifolds ⋮ Hopf coactions on commutative algebras generated by a quadratically independent comodule

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