Planar Algebra of the Subgroup-Subfactor
Material type:
TextPublication details: 2008Description: xi; 102pSubject(s): Mathematics | Planar AlgebrasOnline resources: Click here to access online Dissertation note: 2008Ph.DHBNI 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.
THESIS & DISSERTATION
| Current library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
|---|---|---|---|---|---|---|---|
| IMSc Library | IMSc Library | HBNI TH 1 (Browse shelf (Opens below)) | Link to resource | Available | 60811 |
2008
Ph.D
HBNI
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.
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