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Titlebook: Quantum Groups; Proceedings of the 8 H. -D. Doebner,J. -D. Hennig Conference proceedings 1990 Springer-Verlag Berlin Heidelberg 1990 algebr

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Extremal projectors for quantized kac-moody superalgebras and some of their applications,one to extend the concept of quantized Kac-Moody algebras to the case of Kac-Moody superalgebras. A q-analogue of the Cartan-Weyl basis is introduced, which has properties similar to the Cartan-Weyl basis of the Kac-Moody (super) algebras. Explicit expressions of the extremal projectors for all quan
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Quantum groups as symmetries of chiral conformal algebras, chiral conformal model is introduced in such a way that the overall (product) representation of the braid group is trivialized. As an introduction we review (in Secs.1 and 2) basic facts about 2-dimensional conformal QFT and about the quantum enveloping algebra .. - ..(sl(2)) and its finite dimensi
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Quantum symmetry associated with braid group statistics,standing of the symmetry structure dual to braid group statistics is only at its beginning. We use the duality to identify a “first approximation” to this structure and the corresponding algebra of charged fields.
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Anomalies from the phenomenological and geometrical points of view,gebraic approach, and, in the end and more detailed, the geometric approach. In particular, the topological approach of the Atiyah-Singer is extended in a way which allows the treatment of all chiral anomalies within the geometric (equivariant) point of view.
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