A \(q\)-analogue of Capelli's identity for \(\text{GL}(2)\)
type: Item
instance of: scholarly article
title: A \(q\)-analogue of Capelli's identity for \(\text{GL}(2)\)
zbMATH Open document ID: 0937.17009
author: Takayuki Hibi
author: Masato Wakayama
published in: Advances in Mathematics
publication date: 2000-06-05T00:00:00Z
review text: In this paper, originally written in 1990, the authors derive a \(q\)-analogue of Capelli's identity for \(\text{GL}(2)\). In a note added in proof the authors refer to further results: \textit{M. Noumi}, \textit{T. Umeda}, and the second author worked out now to generalize a quantum analogue of Capelli's identity for \(\text{GL}(n)\) in the framework of quantum \(R\)-matrices [Duke Math. J. 76, 567--594 (1994; Zbl 0835.17013)]. This theory has been continuously well-developed from the representation theoretical point of view [Lett. Math. Phys. 34, 1--8 (1995; Zbl 0842.17020)].
Mathematics Subject Classification ID: 17B37
Mathematics Subject Classification ID: 81R50
zbMATH DE Number: 848979
MaRDI profile type: Publication
full work available at URL: aima.1995.1049
OpenAlex ID: W2078408405
DOI: 10.1006/AIMA.1995.1049
description: scientific article; zbMATH DE number 848979