A construction of representations and quantum homogeneous spaces
P. Stovicek
Abstract
A simplified construction of representations is presented for the quantized enveloping algebra Uq(g), with g being a simple complex Lie algebra belonging to one of the four principal series A, B, C or D. The carrier representation space is the quantized algebra of polynomials in antiholomorphic coordinate functions on the big cell of a coadjoint orbit of K where K is the compact simple Lie group with the Lie algebra g - the compact form of g.
Create a lesson
Related papers
The weak bialgebra structures on k n
Jingheng Zhou
Characters of Quantum Symmetric Pairs
Philip Schlösser
Bianchi identities in noncommutative geometry
Paolo Aschieri
Centers of quantum Schur superalgebras from Hecke algebras
Qiang Fu, Yingshan Luo, Chengquan Sun
On Split Forms of Fusion Categories
César Galindo
R-matrix via Hasse diagrams
Nikita Kryazhevskikh, Andrey Mudrov, Vladimir Stukopin