(T*B)q, q-analogue of model space and CGC generating matrices
A. G. Bytsko, L. D. Faddeev
Abstract
We study relations between the deformed cotangent bundle (T*B)q for the Borel subgroup B of a given simple Lie group G, the quantum Lie algebra Jq associated with the corresponding quantum group Gq and the matrices generating Clebsch-Gordan coefficients (CGC) for Jq. We reveal the connection of these objects to quantum analogue of the model space M and q-tensor operators.
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