Hopf algebras : proceedings from the international conference at DePaul University [1 ed.] 0-8247-5566-9, 9780824755669

This volume publishes key proceedings from the recent International Conference on Hopf Algebras held at DePaul Universit

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English Pages 200 [278] Year 2004

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Hopf algebras : proceedings from the international conference at DePaul University [1 ed.]
0-8247-5566-9, 9780824755669

Author / Uploaded
Jeffrey Bergen
Stefan Catoiu
William Chin (eds.)

Table of contents :
Content: 1. Infinitesimal Bialgebras, Pre-Lie and Dendriform Algebras / Marcelo Aguiar 1 --
2. Some Remarks on Nichols Algebras / Nicolas Andruskiewitsch 35 --
3. The Coradical of the Dual of a Lifting of a Quantum Plane / Nicolas Andruskiewitsch, M. Beattie 47 --
4. Representations of Two-Parameter Quantum Groups and Schur-Weyl Duality / Georgia Benkart, Sarah Witherspoon 65 --
5. A New Proof of the Skolem-Noether Theorem / Jeffrey Bergen 93 --
6. Projectivity of a Relative Hopf Module over the Subring of Coinvariants / S. Caenepeel, T. Guedenon 97 --
7. A Brief Introduction to Coalgebra Representation Theory / William Chin 109 --
8. Some Examples of Integrals for Bialgebras / S. Dascalescu 133 --
9. Bi-Frobenius Algebras and Group-Like Algebras / Yukio Doi 143 --
10. Bialgebras and Realizations / R.L. Grossman, R.G. Larson 157 --
11. Relatively Free Coalgebras / Mikhail Kochetov 167 --
12. Example of Almost Commutative Hopf Algebras Which Are Not Coquasitriangular / Akira Masuoka 185 --
13. Hopf Algebras of Dimension p[superscript 2] / Siu-Hung Ng 193 --
14. Support Cones for Infinitesimal Group Schemes / Julia Pevtsova 203 --
15. Coalgebras from Formulas / Serban Raianu 215 --
16. Fourier Theory for Coalgebras, Bicointegrals and Injectivity for Bicomodules / Walter Ricardo Ferrer Santos 225 --
17. Notes on the Classification of Hopf Algebras of Dimension pq / Alex Schuler 241 --
18. A Hopf Algebraic Morita Invariant / Mitsuhiro Takeuchi 253.

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