Cyclic and Hochschild homology of certain quantum homogeneous spaces

DOI10.1007/BF00997379zbMath0780.17021OpenAlexW2023576747MaRDI QIDQ1208677

Erlend Dahl, Benjamin Enriquez

Publication date: 16 May 1993

Published in: \(K\)-Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00997379

zbMATH Keywords

cyclic homologyHochschild homologyquantum homogeneous spaces

Mathematics Subject Classification ID

Cohomology of Lie (super)algebras (17B56) Homology and cohomology of homogeneous spaces of Lie groups (57T15)

Cites Work

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• Quantum groups at roots of 1
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Non-commutative differential geometry
• A differential complex for Poisson manifolds
• Poisson Lie groups, dressing transformations, and Bruhat decompositions
• Hochschild and cyclic homology of quantum groups
• Noncommutative differential geometry on the quantum \(\text{SU}(2)\). I: An algebraic viewpoint
• Differential Forms On Regular Affine Algebras
• Dressing transformations and Poisson group actions

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