On connection algebras of homogeneous convex cones
type: Item
instance of: scholarly article
title: On connection algebras of homogeneous convex cones
zbMATH Open document ID: 0535.17011
author: Tadashi Tsuji
published in: Tsukuba Journal of Mathematics
publication date: 1983-01-01T00:00:00Z
review text: The main result of this paper is: If the connection algebra of a homogeneous cone V is power-associative, then V is self-dual. As pointed out in the paper this result follows immediately from a result of the reviewer. The approach used here is more direct and uses Vinberg's T- algebras rather than the reviewer's algebraic structures. The main result is followed by a nice collection of properties of a homogeneous cone V which are equivalent to V being self-dual.
Mathematics Subject Classification ID: 17C10
Mathematics Subject Classification ID: 53C30
Mathematics Subject Classification ID: 17A05
zbMATH DE Number: 3849451
zbMATH Keywords: self-dual homogeneous cone
zbMATH Keywords: power-associative connection algebra
zbMATH Keywords: T- algebras
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.21099/tkbjm/1496159663
OpenAlex ID: W1480203855
DOI: 10.21099/TKBJM/1496159663
description: scientific article; zbMATH DE number 3849451