The Fischer Decomposition for the H-action and Its Applications

2010/02/02 by R. Lavicka, Roman Lavicka, Lavicka, Roman · 2 citations
Mathematics · #Advanced Topics in Algebra #Algebraic and Geometric Analysis #Algebraic structures and combinatorial models #math.CV #msc:30G35 #msc:58A10

paper · pdf · doi:10.48550/arxiv.1002.0527

11 pages, my contribution to the conference ISAAC 2009, London

arxiv created 2010/02/02 · arxiv updated 2010/02/26

Abstract

Recently the Fischer decomposition for the H-action of the Pin group on Clifford algebra valued polynomials has been obtained. We apply this tool to get various decompositions of special monogenic and inframonogenic polynomials in terms of two sided monogenic ones.

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