Planar Algebra of the Subgroup-Subfactor[HBNI Th 1]

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Planar Algebra of the Subgroup-Subfactor[HBNI Th 1]

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Title: Planar Algebra of the Subgroup-Subfactor[HBNI Th 1]
Author: Ved Prakash, Gupta
Advisor: Sunder, V. S.
Degree: Ph.D
Main Subjects: Mathematics
Institution: HBNI
Year: 2008
Pages: xi; 102p.
Abstract: An identification between the planar algebra of the subgroup-subfactor R x H subset of R x G is given and the G-invariant planar subalgebra of the planar algebra of the bipartite graph *n (the graph with 1 odd and n even vertices), where n = [G:H]. The crucial step in this identification process is the exhibition of a model for the basic construction tower, and thereafter of the standard invariant, of R x H subset of R x G, interms of operator matrices. The relationship between Jones' Planar algebra and Ocneanu's paragroup approaches to the standard invariant.
URI: http://hdl.handle.net/123456789/114

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