Cyclic and Hochschild homology of certain quantum homogeneous spaces
type: Item
instance of: scholarly article
title: Cyclic and Hochschild homology of certain quantum homogeneous spaces
zbMATH Open document ID: 0780.17021
DOI: 10.1007/BF00997379
author: Erlend Dahl
author: Benjamin Enriquez
published in: \(K\)-Theory
publication date: 1993-05-16T00:00:00Z
review text: The authors quantize certain inclusions of semisimple Lie algebras \({\mathfrak h}\subset{\mathfrak g}\) and compute the cyclic and Hochschild homologies for the \(\mathbb{C}((h))\)-quantizations of the ring of formal functions on \(G/H\) (\(G,H\)-semisimple Lie groups associated with these inclusions) and the ring of algebraic functions \(\text{SL}(2,\mathbb{C})/T\) (\(T\) -- the nonquantized torus of \(\text{SL}(2,\mathbb{C})\).
Mathematics Subject Classification ID: 17B56
Mathematics Subject Classification ID: 57T15
zbMATH DE Number: 166866
zbMATH Keywords: quantum homogeneous spaces
zbMATH Keywords: Hochschild homology
zbMATH Keywords: cyclic homology
reviewed by: Jan Kubarski
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00997379
OpenAlex ID: W2023576747
description: scientific article; zbMATH DE number 166866