Action of truncated quantum groups on quasi-quantum planes and a quasi-associative differential geometry and calculus

DOI10.1007/BF02096941zbMath0849.17013OpenAlexW2065264806WikidataQ115392815 ScholiaQ115392815MaRDI QIDQ1201410

Volker Schomerus, Gerhard Mack

Publication date: 17 January 1993

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

Full work available at URL: https://doi.org/10.1007/bf02096941

zbMATH Keywords

\(R\)-matrixcomplex quantum planequasi-associative differential calculusquasi-associative graded algebraquasi-Yang Baxter equationstruncated quantum group algebraweak quasitriangular quasi-Hopf algebras

Mathematics Subject Classification ID

Related Items (9)

Construction of field algebras with quantum symmetry from local observables ⋮ Combinatorial quantization of the Hamiltonian Chern-Simons theory. I ⋮ Combinatorial quantization of the Hamiltonian Chern-Simons theory. II ⋮ Identical particles and quantum symmetries ⋮ Generalized diagonal crossed products and smash products for quasi-Hopf algebras. Applications. ⋮ Quasi quantum group covariant \(q\)-oscillators ⋮ A short introduction to quantum symmetry ⋮ Quasi-quantum linear spaces. ⋮ \(q\)-difference intertwining operators and \(q\)-conformal invariant equations

Cites Work

• Non-commutative differential geometry
• Differential calculus on compact matrix pseudogroups (quantum groups)
• Covariant differential calculus on the quantum hyperplane
• Unnamed Item

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