Integral calculus on quantum exterior algebras

DOI10.1142/S0219887814500261zbMath1302.16033arXiv1302.5216MaRDI QIDQ5420247

Christian Lomp, Serkan Karaçuha

Publication date: 11 June 2014

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

Full work available at URL: https://arxiv.org/abs/1302.5216

zbMATH Keywords

differential graded algebrasdifferential calculiquantum polynomialsquantum exterior algebras

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Geometry of quantum groups (58B32) Derivations, actions of Lie algebras (16W25) Ring-theoretic aspects of quantum groups (16T20) Hopf algebras and their applications (16T05)

Related Items (1)

Differential smoothness of skew polynomial rings

Cites Work

• Twisted \(\text{SU}(2)\) group. An example of a non-commutative differential calculus
• Hochschild cohomology of group extensions of quantum symmetric algebras
• DIVERGENCES ON PROJECTIVE MODULES AND NON-COMMUTATIVE INTEGRALS
• NON-COMMUTATIVE CONNECTIONS OF THE SECOND KIND
• QUANTUM POLYNOMIALS
• A relation between Hochschild homology and cohomology for Gorenstein rings
• Homological properties of quantum polynomials

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