Communications in Mathematical Analysis

The Actions Of Subgroups Of $SL$ For The Clifford Algebra In EPH Cases

Debapriya Biswas

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Abstract

We study the action of each subgroup $A$, $N$ and $K$ of the group $SL_2(\mathbb{R})$ for the Clifford algebra $\mathcal{C}\ell(a)$ and calculate their vector fields, using the derived representation of the Lie algebra $sl_{2}$.

Article information

Source
Commun. Math. Anal., Volume 11, Number 1 (2011), 41-50.

Dates
First available in Project Euclid: 22 December 2010

Permanent link to this document
https://projecteuclid.org/euclid.cma/1293054273

Mathematical Reviews number (MathSciNet)
MR2753678

Zentralblatt MATH identifier
1206.30066

Subjects
Primary: 30G35: Functions of hypercomplex variables and generalized variables
Secondary: 22E46: Semisimple Lie groups and their representations

Keywords
EPH cases Möbius transformations Clifford and Lie algebras $SL$ group Vector fields

Citation

Biswas, Debapriya. The Actions Of Subgroups Of $SL$ For The Clifford Algebra In EPH Cases. Commun. Math. Anal. 11 (2011), no. 1, 41--50. https://projecteuclid.org/euclid.cma/1293054273


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