Generalized differential spaces with \(d^N=0\) and the \(q\)-differential calculus

DOI10.1007/BF01690337zbMath0953.18004arXivq-alg/9609012MaRDI QIDQ1589217

Michel Dubois-Violette

Publication date: 7 December 2000

Published in: Czechoslovak Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/q-alg/9609012

zbMATH Keywords

nilpotent endomorphisms\(q\)-analoggraded \(q\)-differential algebrageneralized homologiesHochschild differentialsimplicial differentialuniversal differential envelope

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Geometry of quantum groups (58B32) Chain complexes (category-theoretic aspects), dg categories (18G35)

Related Items (14)

A differential calculus on the \(\mathbb{Z}_3\)-graded quantum group \(\mathrm{GL}_q(2)\) ⋮ A differential calculus on \(Z_3\)-graded quantum superspace \(\mathbb R_q(2| 1)\) ⋮ Differential calculi on \(\mathbb Z_3\)-graded Grassmann plane ⋮ \(N\)-complexes and Hopf algebras ⋮ Double-graded quantum superplane ⋮ A differential calculus on the (\(h, j\))-deformed \(\mathrm {Z}_3\)-graded superplane ⋮ QUANTUM GROUPS AND DIFFERENTIAL FORMS ⋮ Derived categories of \(N\) DG categories ⋮ N-COMPLEXES AND HIGHER SPIN GAUGE FIELDS ⋮ Left-covariant differential calculi on GL̃q(2) ⋮ Higher-order BRST and anti-BRST operators and cohomology for compact Lie algebras ⋮ An approach to categorification of some small quantum groups ⋮ Homogeneous algebras. ⋮ Hopfological algebra

Cites Work

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