q-Wedge Modules for Quantized Enveloping Algebras of Classical Type
Naihuan Jing, Kailash C. Misra, Masato Okado
Abstract
We use the fusion construction in the twisted quantum affine algebras to obtain a unified method to deform the wedge product for classical Lie algebras. As a byproduct we uniformly realize all non-spin fundamental modules for quantized enveloping algebras of classical types, and show that they admit natural crystal bases as modules for the (derived) twisted quantum affine algebra. These crystal bases are parametrized in terms of the q-wedge products.
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