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Ruan, Zhong-Jin Fitzgerald, Kevin Francis 2015-09-28T15:20:16Z 2015-09-28T15:20:16Z 10000-01-01 1997 1997 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. Made available in DSpace on 2015-09-28T15:20:16Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 9717274.pdf: 6375486 bytes, checksum: e9bc34a637e9b7e05aef557d2521f0e8 (MD5) Previous issue date: 1997 Embargo set by: Seth Robbins for item 88221 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs U of I Only 132 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1997. http://hdl.handle.net/2142/86940 (MiAaPQ)AAI9717274 eng Physics, General Double Crossproducts of Hopf* Algebras, Discrete Quantum Groups and Amenable Groups text Mathematics Mathematics University of Illinois at Urbana-Champaign Dissertation Ph.D.