Quantum- and quasi-Plücker coordinates.
type: Item
instance of: scholarly article
title: Quantum- and quasi-Plücker coordinates.
zbMATH Open document ID: 1119.17008
author: Aaron Lauve
published in: Journal of Algebra
publication date: 2006-05-18T00:00:00Z
full work available at URL: https://arxiv.org/abs/math/0406062
review text: The paper is devoted to the study of non-commutative or quantum Grassmannians. The key tool is provided by the quasi-Plücker coordinates introduced as certain ratios of quasideterminants of \textit{I. M.\ Gelfand} and \textit{V. S.\ Retakh} [Sel. Math., New Ser. 3, 517--546 (1997; Zbl 0919.16011)]. In the commutative and quantum cases these specify to ratios of (quantum) minors. The main result of the paper is the reconstruction of the coordinate algebra of the quantum Grassmannian defined in [\textit{E.\ Taft} and \textit{J.\ Towber}, Algebra 142, 1--36 (1991; Zbl 0739.17007)] in terms of quasi-Plücker coordinates.
reviewed by: Tomasz Brzeziński
Mathematics Subject Classification ID: 17B37
zbMATH DE Number: 5024291
zbMATH Keywords: quantum group
zbMATH Keywords: quantum minor
zbMATH Keywords: Grassmannian
zbMATH Keywords: quasideterminant
MaRDI profile type: Publication
OpenAlex ID: W2069408537
arXiv ID: math/0406062
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DOI: 10.1016/J.JALGEBRA.2005.12.004
description: scientific article