Quantum Groups,Deformed Oscillators and their Interrelations
E. V. Damaskinsky, P. P. Kulish
Abstract
The main notions of the quantum groups: coproduct, action and coaction, representation and corepresentation are discussed using simplest examples: GLq(2), slq(2), q-oscillator algebra A(q), and reflection equation algebra. The Gauss decompositions of quantum groups and their realizations in terms of\, A(q) are given.
Create a lesson
Related papers
Coherence Constraints for Operads, Categories and Algebras
Martin Markl, Steve Shnider
Affine Sergeev Algebra and q-Analogues of the Young Symmetrizers for Projective Representations of the Symmetric Group
Andrew Jones, Maxim Nazarov
Nonsymmetric Koornwinder polynomials and duality
Siddhartha Sahi
Capelli Identities for Classical Lie Algebras
Alexander Molev, Maxim Nazarov
On modules associated to coalgebra Galois extensions
Tomasz Brzezinski
Web bases for sl(3) are not dual canonical
Mikhail Khovanov, Greg Kuperberg