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Antipodes and cosemisimple hopf algebra.January 1996 (has links)
by Lo Kwok Kei. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1995. / Includes bibliographical references (leaves 97-98). / Chapter 1 --- Introduction --- p.2 / Chapter 1.1 --- Algebra and Coalgebra --- p.2 / Chapter 1.2 --- Bialgebra and Hopf Algebra --- p.18 / Chapter 1.3 --- Integral and Semisimplicity --- p.26 / Chapter 2 --- Order of antipode --- p.44 / Chapter 2.1 --- An Isomorphism between H and H* --- p.44 / Chapter 2.2 --- Opposite-co-opposite Hopf algebras --- p.50 / Chapter 2.3 --- Antipode has finite order --- p.57 / Chapter 3 --- Larson's Characters --- p.65 / Chapter 3.1 --- Theory of Characters for comodules --- p.66 / Chapter 3.2 --- Simple subcoalgebras under the action s2 --- p.75 / Chapter 4 --- Semisimple and Cosemisimple Hopf Algebras --- p.78 / Chapter 4.1 --- Trace functions for Hopf algebras --- p.78 / Chapter 4.2 --- Cosemisimple Hopf algebras are semisimple --- p.86 / Chapter 4.3 --- Semisimple Hopf algebras are involutory --- p.90
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Foundations of the Hopf invariant in topologyLee, Kon-Ying January 1970 (has links)
No description available.
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Global minimization of Hopf bifurcation surfaces with application to nematic electroconvectionAlolyan, Ibraheem. January 2004 (has links)
Thesis (Ph. D.)--Colorado State University, 2004. / Includes bibliographical references.
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On Hopf multiplications on the wedge of two spacesChao, Frances Yen-Yen January 1973 (has links)
In this thesis we show that it is impossible to define a Hopf multiplication on the wedge X V Y of a connected finite CW-complex X with an arbitrary connected CW-complex Y, provided neither X nor Y homotopy equivalent to a point.
We also show by an example, that the above is no longer true, if one does not require that X is a finite CW-complex. / Science, Faculty of / Mathematics, Department of / Graduate
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Foundations of the Hopf invariant in topologyLee, Kon-Ying January 1970 (has links)
No description available.
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Coactions on C'*-algebrasNg, Chi-Keung January 1994 (has links)
No description available.
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The Dieudonne ring for ordinary homology /Elce, Kimberly R., January 2002 (has links)
Thesis (Ph. D.)--University of Oregon, 2002. / Typescript. Includes vita and abstract. Includes bibliographical references (leaf 77). Also available for download via the World Wide Web; free to University of Oregon users.
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Cyclic cohomological computations for the Connes-Moscovici-Kreimer Hopf algebrasAntal, Tamás. January 2004 (has links)
Thesis (Ph. D.)--Ohio State University, 2004. / Title from first page of PDF file. Document formatted into pages; contains ix, 85 p. Includes bibliographical references (p. 84-85).
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Bialgebra cyclic homology with coefficientsKaygun, Atabey, January 2005 (has links)
Thesis (Ph. D.)--Ohio State University, 2005. / Title from first page of PDF file. Document formatted into pages; contains vii, 77 p.; also includes graphics Includes bibliographical references (p. 76-77). Available online via OhioLINK's ETD Center
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Cohomology of a sub-Hopf algebra of the Steenrod alebra /Harker, Hayden, January 2005 (has links)
Thesis (Ph. D.)--University of Oregon, 2005. / Typescript. Includes vita and abstract. Includes bibliographical references (leaf 61). Also available for download via the World Wide Web; free to University of Oregon users.
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