Clifford algebras of forms of higher degrees
type: Item
instance of: scholarly article
title: Clifford algebras of forms of higher degrees
zbMATH Open document ID: 1306.15020
author: Philippe Revoy
published in: Advances in Applied Clifford Algebras
publication date: 2014-09-18T00:00:00Z
review text: The author introduces the concept of Clifford algebras of polynomial forms of higher degree. It is shown that these algebras admit finite-dimensional representations (also called the linearizations of the polynomial forms). For the special case of a binary cubic form with no triple root, the Clifford algebra is an Azumaya algebra over its center.
reviewed by: Xiangqian Guo
Mathematics Subject Classification ID: 15A66
zbMATH DE Number: 6345695
zbMATH Keywords: Clifford algebras
zbMATH Keywords: polynomial forms
zbMATH Keywords: representations of Clifford algebras
zbMATH Keywords: linearizations of polynomial forms
zbMATH Keywords: Azumaya algebra
MaRDI profile type: Publication
full work available at URL: s00006-013-0429-x
OpenAlex ID: W1997926359
cites work: Q5605966
cites work: Q4083583
cites work: Q5626672
cites work: Algèbres de Clifford et algèbres exterieures
cites work: Clifford algebra of a polynomial.
cites work: Representations of Clifford algebras
cites work: Idempotents et Representations de Certaines Algebres de Clifford
cites work: Linearizing of n-ic forms and generalized Clifford algebras
cites work: Linearization of polynomials
cites work: Linearizations of binary and ternary forms
cites work: When is the Clifford algebra of a binary cubic form split?
cites work: On Azumaya algebras arising from Clifford algebras
cites work: Representations of a Clifford algebra that are Azumaya algebras and generate the Brauer group
cites work: Q4297401
DOI: 10.1007/S00006-013-0429-X
description: scientific article; zbMATH DE number 6345695