Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2020; 35(2): 487-497

Online first article January 14, 2020      Printed April 30, 2020

https://doi.org/10.4134/CKMS.c190254

Copyright © The Korean Mathematical Society.

On Complex representations of the Clifford algebras

Youngkwon Song

Kwangwoon University

Abstract

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In this paper, we establish a complex matrix representation of the Clifford algebra $C\ell_{p,q}$. The size of our representation is significantly smaller than the size of the elements in $L_{p,q}(\mathbb{R})$. Additionally, we give detailed information about the spectrum of the constructed matrix representation.

Keywords: Clifford algebra, complex matrix representation

MSC numbers: 15A18, 15A66

Supported by: The present research has been conducted by the Research Grant of Kwangwoon University
in 2019.

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