(k,r)-admissible configurations and intertwining operators
Mirko Primc
Abstract
Certain combinatorial bases of Feigin-Stoyanovsky's type subspaces of level k standard modules for affine Lie algebra sl(r,C) are parametrized by (k,r)-admissible configurations. In this note we use Capparelli-Lepowsky-Milas' method to give a new proof of linear independence of these bases, the main ingredient in the proof being the use of Dong-Lepowsky's intertwining operators for fundamental sl(r,C)-modules.
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