Howe duality in the toroidal setting
Quantum Algebra
2023-08-01 v1
Abstract
In this paper, we construct and study various dual pairs acting on the oscillator modules of the symplectic toroidal Lie algebras coordinated by irrational quantum tori. This extends the classical Howe dual pairs to the toroidal setup.
Keywords
Cite
@article{arxiv.2307.15866,
title = {Howe duality in the toroidal setting},
author = {Fulin Chen and Xin Huang and Shaobin Tan},
journal= {arXiv preprint arXiv:2307.15866},
year = {2023}
}