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Notes on the differential calculi on quantum linear groups

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Publication:1920482
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DOI10.1007/BF01017330zbMath0852.17016MaRDI QIDQ1920482

P. N. Pyatov, Pavel A. Saponov

Publication date: 12 December 1996

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)


zbMATH Keywords

differential calculiHopf algebracommutation relationsquantum linear groups


Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Noncommutative topology (46L85) Noncommutative differential geometry (46L87) Commutation relations and statistics as related to quantum mechanics (general) (81S05)




Cites Work

  • A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
  • Quantum deformations of certain simple modules over enveloping algebras
  • Multiparametric quantum deformation of the general linear supergroup
  • Differential geometry on linear quantum groups
  • Differential calculus on compact matrix pseudogroups (quantum groups)


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