An Invertible Subspace in Clifford Algebras

Dao Viet Cuong; Doan Thanh Son

doi:https://doi.org/10.14445/22315373/IJMTT-V70I5P104

International Journal of Mathematics Trends and Technology

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Volume 70 | Issue 5 | Year 2024 | Article Id. IJMTT-V70I5P104 | DOI : https://doi.org/10.14445/22315373/IJMTT-V70I5P104

An Invertible Subspace in Clifford Algebras

Dao Viet Cuong, Doan Thanh Son

Received	Revised	Accepted	Published
26 Mar 2024	14 Jun 2024	15 May 2024	14 Jun 2024

Abstract

The goal of this paper is to find a subspace in the Cliiford algebra in which every non-zero element has an invertible element. The paper begins with some basic knowledge in the classical Clifford algebra, then shows that not all non-zero elements are invertible through some specific examples. The construction of the invertible subspace is presented in the third part of the paper.

Keywords

Clifford algebras, Hyper complex analysis, Holomorphic function, Invertible subspace.

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Citation :

Dao Viet Cuong, Doan Thanh Son, "An Invertible Subspace in Clifford Algebras," International Journal of Mathematics Trends and Technology (IJMTT), vol. 70, no. 5, pp. 19-27, 2024. Crossref, https://doi.org/10.14445/22315373/IJMTT-V70I5P104