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Induced representation and Frobenius reciprocity for compact quantum groups

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Publication:1917748
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DOI10.1007/BF02880362zbMath0959.22004MaRDI QIDQ1917748

Arup Kumar Pal

Publication date: 15 July 1996

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


zbMATH Keywords

compact quantum groupsunitary representationsHilbert \(C^*\)-moduleinduced representationcompact quantum groupFrobenius reciprocity theorem


Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46L99) Module categories in associative algebras (16D90) General theory of (C^*)-algebras (46L05) Induced representations for locally compact groups (22D30)


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Cites Work

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  • Compact matrix pseudogroups
  • Quantum spheres
  • Twisted \(\text{SU}(2)\) group. An example of a non-commutative differential calculus
  • Unbounded elements affiliated with \(C^*\)-algebras and non-compact quantum groups
  • Quantum \(SU(2)\) and \(E(2)\) groups. Contraction procedure
  • Inner Product Modules Over B ∗ -Algebras
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