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Subsections
Introduce the participants to the main aspects of the theory of quantum
groups (Hopf algebras) and their applications in theoretical physics and
mathematics.
N. Andruskiewitsch (Córdoba, Argentine),
M. Dubois Violette (Orsay, France),
D. Evans (Cardiff, UK),
A. Ocneanu (Penn State, USA),
O. Ogievetsky (CPT-Marseille, France),
N. Reshetikhin (Berkeley, USA),
M. Rosso (Strasbourg, France),
S. Woronowicz(Varsovie, Poland),
J.B. Zuber (CEA-Saclay, France).
- Hopf algebras of finite dimension, braided Hopf algebras, quantum groups
at roots of unity, Yetter-Drinfeld modules (N. Andruskiewitsch).
- Bialgebras associated with a family of tensors, Hopf algebras for
bilinear forms, monoidal categories (M. Dubois Violette).
- Quantum symmetries and TQFT (A. Ocneanu)
- Differential calculus and differential operators on quantum groups,
quantum planes and quantum homogeneous spaces (O. Ogievetsky).
- Quantum integrable systems, Lie Poisson groups, deformation quantization
(N. Reshetikhin).
- Quasi triangular structure of quantum enveloping algebras, R matrices
and braid groups, quantum affine algebras, Frobenius morphism in zero
characteristics and Luztig-Frobenius kernel (M. Rosso).
- Quantum symmetries and operator algebras (D. Evans)
- Quantum groups and C* algebras (S. Woronowicz).
- Modular invariance and boundary conditions in conformal field theories,
integrable models on the lattice, fusion algebras and generalized Dynkin
diagrams (J.B. Zuber).
Scientific directors
English
From Monday 10 to Friday 22 of January 2000, at San Carlos de Bariloche,
Patagonia, Argentina.
Mathematicians or theoretical physicists. Students having started a thesis
or post doctoral students.
October 29, 1999.
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Ariel O. Garcia
1999-09-30