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Title:Double Crossproducts of Hopf* Algebras, Discrete Quantum Groups and Amenable Groups
Author(s):Fitzgerald, Kevin Francis
Doctoral Committee Chair(s):Ruan, Zhong-Jin
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Physics, General
Abstract:In Appendix A, we consider a third construction, the bicrossproduct which is a simultaneous cross product/cross coproduct construction. We find conditions which ensure that the bicrossproduct of two Hopf $\sp{\*}$ algebras is a Hopf $\sp{\*}$ algebra. In Appendix B, we provide physical motivation for studying bicrossproducts by describing a possible theory of quantum gravity where the algebra of quantum observables is a bicrossproduct.
Issue Date:1997
Type:Text
Language:English
Description:132 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1997.
URI:http://hdl.handle.net/2142/86940
Other Identifier(s):(MiAaPQ)AAI9717274
Date Available in IDEALS:2015-09-28
Date Deposited:1997


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