Classical invariant theory for the quantum symplectic group
type: Item
instance of: scholarly article
title: Classical invariant theory for the quantum symplectic group
zbMATH Open document ID: 0928.17016
author: Elisabetta Strickland
published in: Advances in Mathematics
publication date: 1997-06-06T00:00:00Z
full work available at URL: http://hdl.handle.net/2108/51870
review text: The paper develops an invariant theory for the quantum symplectic group. Following in section~1 the classical path, all needed notations are explicitly generalized to the \(q\)-case by construction. \(q\)-Pfaffians and standard Young tableaux are the most important among them. Beside technical difficulties all these constructions run along the classical lines. Section 2 defines \(U_q(sp(n))\) and some basic invariants. Thereafter the main theorem states that the ring of invariants is generated by those previously defined basic invariants.
Mathematics Subject Classification ID: 17B37
Mathematics Subject Classification ID: 81R50
Mathematics Subject Classification ID: 20G05
zbMATH DE Number: 949644
zbMATH Keywords: \(q\)-invariants
zbMATH Keywords: \(q\)-Pfaffians
zbMATH Keywords: invariant theory
zbMATH Keywords: quantum symplectic group
reviewed by: Bertfried Fauser
MaRDI profile type: Publication
OpenAlex ID: W2053010980
DOI: 10.1006/AIMA.1996.0067
description: scientific article; zbMATH DE number 949644