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Description
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 |
This item appears in the following Collection(s)
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Dissertations and Theses - Mathematics
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Graduate Dissertations and Theses at Illinois
Graduate Theses and Dissertations at Illinois