Infinite iterated crossed products of Hopf Algebras, Drinfeld doubles and planar algebras

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Infinite iterated crossed products of Hopf Algebras, Drinfeld doubles and planar algebras

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dc.contributor.author Sandipan De
dc.date.accessioned 2016-06-13T05:24:28Z
dc.date.available 2016-06-13T05:24:28Z
dc.date.issued 2016-06-13T05:24:28Z
dc.date.submitted 2016
dc.identifier.uri http://hdl.handle.net/123456789/378
dc.description.abstract This thesis deals with the mathematical objects known as planar algebras and their connection with Hopf algebras and their Drinfeld doubles. The motivation for this thesis comes from a series of talks delivered by Prof. Masaki Izumi at IMSc., Chennai, during one of which he asserted that for a Kac algebra subfactor, a related subfactor to its asymptotic inclusion comes from an outer action of its Drinfeld double. This is a folklore result in subfactor theory and in the process of trying to prove this, we noticed a purely algebraic result which also seemed quite interesting and this is one of the main results in the thesis. Given a finite dimensional Hopf algebra H over any field, we associate to it a very natural inclusion A ⊆ B of infinite iterated crossed product algebras. The thesis is divided into four chapters. Chapters 1 and 2 are devoted to a discussion of preliminary notions, namely, Hopf algebras and planar algebras, while the main content of the thesis is contained in Chapters 3 and 4. en_US
dc.publisher.publisher
dc.subject Hopf Algebras en_US
dc.subject Planar Algebras en_US
dc.subject HBNI Th90 en_US
dc.title Infinite iterated crossed products of Hopf Algebras, Drinfeld doubles and planar algebras en_US
dc.type.degree Ph.D en_US
dc.type.institution HBNI en_US
dc.description.advisor Vijay Kodiyalam
dc.description.pages 75p. en_US
dc.type.mainsub Mathematics en_US

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