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PGSKG


Course: Quantum Groups and Noncommut. Geometry

Department/Abbreviation: OPT/PGSKG

Year: 2020

Guarantee: 'prof. Mgr. Jaromír Fiurášek, Ph.D.'

Annotation: Advanced postgraduate course on quantum goups and noncommutative geometry. Students will learn in depth about quantum matrix groups, qantum deformations of differential and integral calculi, elements of representations of quantum groups, non-commutative geometry and models of field theory.

Course review:
-Hopf's algebra and Poissonian structure of classical Lie groups and algebras -Deformations of co-Poissonian structures -Quantum matrix groups -Quantum deformations of differential and integral calculi -Elements of representations of quantum groups -q-Deformations of harmonic oscillators -q-Deformations of space-time symmetries -Non-commutative geometry and models of field theory