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The Actions of Subgroups of SL2(R) for the Clifford Algebra in EPH Cases

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

The Actions of Subgroups of SL2(R) for the Clifford Algebra in EPH Cases

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Abstract

We study the action of each subgroup $A$, $N$ and $K$ of the group SL2(R) for the Clifford algebra Cℓ(a) and calculate their vector fields, using the derived representation of the Lie algebra sl2.