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CARTAN CALCULUS OF Z3-GRADED DIFFERENTIAL CALCULUS ON THE QUANTUM PLANE

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Publication:2920427
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DOI10.1142/S0219887812500405zbMath1253.81081WikidataQ115245420 ScholiaQ115245420MaRDI QIDQ2920427

E. Mehmet Özkan

Publication date: 16 October 2012

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)


zbMATH Keywords

inner derivationLie derivationZ\(_3\)-graded quantum plane


Mathematics Subject Classification ID

Noncommutative geometry methods in quantum field theory (81T75) Noncommutative geometry in quantum theory (81R60) Noncommutative global analysis, noncommutative residues (58J42) Relations with noncommutative geometry (11M55)




Cites Work

  • Compact matrix pseudogroups
  • Differential geometry on linear quantum groups
  • On certain realizations of the \(q\)-deformed exterior differential calculus
  • Remarks on bicovariant differential calculi and exterior Hopf algebras
  • Differential calculus on compact matrix pseudogroups (quantum groups)
  • \(\mathbb{Z}_ 3\)-graded exterior differential calculus and gauge theories of higher order
  • Quantum Z3-graded space
  • Z3-graded differential geometry of the quantum plane
  • A Z3-graded generalization of supermatrices


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