Extension of algebras and its applications to the real Clifford algebras
- Authors
- Lee, Doohann; Song, Youngkwon
- Issue Date
- Nov-2016
- Publisher
- TAYLOR & FRANCIS LTD
- Keywords
- associative algebra; Clifford algebra
- Citation
- LINEAR & MULTILINEAR ALGEBRA, v.64, no.11, pp.2241 - 2251
- Journal Title
- LINEAR & MULTILINEAR ALGEBRA
- Volume
- 64
- Number
- 11
- Start Page
- 2241
- End Page
- 2251
- URI
- https://scholarworks.bwise.kr/gachon/handle/2020.sw.gachon/7699
- DOI
- 10.1080/03081087.2016.1147525
- ISSN
- 0308-1087
- Abstract
- Extension of algebras can be constructed through various manners. In this paper, we introduce a new way of construction to extend a given algebra of dimension 2(n), which is isomorphic to the real Clifford algebra Cl-0,Cl-n, to another algebra of dimension 2(n+1) over the real numbers. And then, we generalize the construction over a Z(2)-grading algebra. Moreover, we will show the relation between the new constructed algebras and Clifford algebras.
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