On certain conformally invariant systems of differential equations. II: Further study of type A systems
type: Item
instance of: scholarly article
title: On certain conformally invariant systems of differential equations. II: Further study of type A systems
zbMATH Open document ID: 1342.35423
author: Anthony C. Kable
published in: Tsukuba Journal of Mathematics
publication date: 2015-09-29T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.tkbjm/1438951817
review text: The author studies a family of system of differential equations where the operators are generalizations of the Heisenberg Laplacians associated to special linear and special unitary groups. Continuing a previous work, the author determines the spectrum of some operator studied before, shows that under some restrictions the systems are free of integrability conditions and exhibit some explicit polynomial solutions in certain cases. For Part I see [the author, New York J. Math. 19, 189--251 (2013; Zbl 1276.35144)].
reviewed by: Isolda E. Cardoso
Mathematics Subject Classification ID: 35R03
Mathematics Subject Classification ID: 35C11
Mathematics Subject Classification ID: 33C65
Mathematics Subject Classification ID: 22E25
zbMATH DE Number: 6486342
zbMATH Keywords: systems of differential equations
zbMATH Keywords: Heisenberg group
zbMATH Keywords: Heisenberg Laplacian
MaRDI profile type: Publication
OpenAlex ID: W1850395149
DOI: 10.21099/TKBJM/1438951817
description: scientific article; zbMATH DE number 6486342