Hopf Algebras

This volume contains eighteen refereed papers that were presented at the International Conference on Hopf Algebras held at DePaul University, Chicago, Illinois in 2002. Among the results presented is a new proof of the Skolem-Noether Theorem, saying that for any simple algebra R that is finite dimensional over its centre F, all F-linear skew derivations and all automorphisms are inner. There is also a summary of results on the classification of Hopf algebras of dimension pq over an algebraically closed field of characteristics zero, where p and q are different odd prime numbers. Another paper deals with categories of infinitesimal Hopf modules and bimodules over an infinitesimal bialgebra. Further, we find an illustration of the realization of bialgebras using the Myhill-Nerode Theorem and Fliess’ Theorem, a paper on integrals for bialgebras and almost commutative Hopf algebras, representations of two-parameter quantum groups and an analog of Schur-Weyl duality.

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