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BETWEEN GENERALIZED CLIFFORD ALGEBRAS AND gl(∞, C)

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Advances in Applied Clifford Algebras Aims and scope Submit manuscript

Abstract.

In this paper we will discuss the correspondence between generalized Clifford algebras and the gl(N; C). We will also examine the limit

$$ N \rightarrow \infty$$

. Indeed, in this situation the generators of C r∞ are identified with the infinite matrix

$$\Gamma_1 = {\sum\nolimits_{i \in z}} E_{{i, i+1}}$$

where Ei, j denotes the basis of the gl(∞; C) algebra.

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Authors and Affiliations

  1. Groupe de Mathématique Physique, Dépt. de Mathématiques, F.S.T, Univ. Moulay Ismail, Errachidia, B.P 509, Morocco

    E. H. El Kinani

  2. U.F.R de Physique Théorique, Faculté des Sciences, Univ. Med V, Rabat, B.P 1014, Morocco

    E. H. El Kinani

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  1. E. H. El Kinani
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Correspondence to E. H. El Kinani.

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El Kinani, E.H. BETWEEN GENERALIZED CLIFFORD ALGEBRAS AND gl(∞, C). AACA 10, 263–266 (2000). https://doi.org/10.1007/s00006-000-0007-x

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  • DOI: https://doi.org/10.1007/s00006-000-0007-x

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