Representation Theory of the Algebra Generated By a Pair of Complex Structures

2008/04/22 by Steven Gindi, Gindi, Steven · 3 citations
Computer Science · Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Matrix Theory and Algorithms #hep-th #math.DG #math.RT

paper · pdf · doi:10.48550/arxiv.0804.3621

arxiv created 2008/04/23 · arxiv updated 2009/12/01

Abstract

The objective of this paper is to determine the finite dimensional, indecomposable representations of the algebra that is generated by two complex structures over the real numbers. Since the generators satisfy relations that are similar to those of the infinite dihedral group, we give the algebra the name iD-infinity.

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