Automorphisms of Bipartite Graph planar Algebras and their subfactor planar algebras (Record no. 48867)

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fixed length control field 01435nam a2200253Ia 4500
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080 ## - UNIVERSAL DECIMAL CLASSIFICATION NUMBER
Universal Decimal Classification number HBNI MSc 7
100 ## - MAIN ENTRY--AUTHOR NAME
Personal name Kajal Das
Relator term author
245 ## - TITLE STATEMENT
Title Automorphisms of Bipartite Graph planar Algebras and their subfactor planar algebras
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Year of publication 2011
300 ## - PHYSICAL DESCRIPTION
Number of Pages 54p.
502 ## - DISSERTATION NOTE
Dissertation note 2011
502 ## - DISSERTATION NOTE
Degree Type M.Sc
502 ## - DISSERTATION NOTE
Name of granting institution HBNI
520 3# - SUMMARY, ETC.
Summary, etc The concept of a Bipartite Graph Planar Algebra (BGPA) corresponding to a uniformly locally finite bipartite graph with a uniformly bounded spin function as well as the automorphism group of this planar algebra, is studied in this thesis. This has its origins in [J2] and [B]. It is shown that this group is isomorphic to the semidirect product of two special types of subgroups which are easily computable from the bipartite graph. We are interested in those group actions whose fixed point subalgebras are Subfactor Planar Algebras (SPAs) because new SPAs will produce new subfactors. Finally it is shown that the SPA of a ‘diagonal subfactor without cocycle’ can be obtatined by this fixed point technique.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Mathematics
653 10 - INDEX TERM--UNCONTROLLED
Uncontrolled term Bipartite Graphs
653 10 - INDEX TERM--UNCONTROLLED
Uncontrolled term HBNI MSc 7
653 10 - INDEX TERM--UNCONTROLLED
Uncontrolled term Planar Algebras
720 1# - ADDED ENTRY--UNCONTROLLED NAME
Thesis Advisor Sunder, V. S.
Relator term Thesis advisor [ths]
856 ## - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://www.imsc.res.in/xmlui/handle/123456789/323
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type THESIS & DISSERTATION
Holdings
Withdrawn status Lost status Damaged status Not for loan Current library Full call number Accession Number Uniform Resource Identifier Koha item type
        IMSc Library HBNI MSc 7 66448 http://www.imsc.res.in/xmlui/handle/123456789/323 THESIS & DISSERTATION
The Institute of Mathematical Sciences, Chennai, India

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