Antisymmetrically deformed quantum homogeneous spaces
type: Item
instance of: scholarly article
title: Antisymmetrically deformed quantum homogeneous spaces
zbMATH Open document ID: 1114.58006
author: Shingo Kamimura
published in: Tokyo Journal of Mathematics
publication date: 2006-12-12T00:00:00Z
review text: The author defines a \(\theta\)-deformation of the complex projective space. This is defined as the coinvariant subalgebra of the (quantum algebra of functions of) \(\theta\)-deformed quantum unitary group. Here \(\theta\) is an antisymmetric matrix of parameters. It is shown that the Hochschild dimension of the constructed \(\theta\)-deformed complex projective space \(C(\mathbb{C} P^{n-1}_\theta)\) is the same as the classical dimension of the undeformed complex projective space \(\mathbb{C} P^{n-1}\).
reviewed by: Tomasz Brzeziński
Mathematics Subject Classification ID: 58B34
Mathematics Subject Classification ID: 58B32
Mathematics Subject Classification ID: 17B37
zbMATH DE Number: 5079802
zbMATH Keywords: non-commutative projective space
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.3836/tjm/1166661868
OpenAlex ID: W2060422791
cites work: Q3961493
cites work: Non-commutative differential geometry
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cites work: Q5522742
DOI: 10.3836/TJM/1166661868
description: scientific article; zbMATH DE number 5079802