On Frobenius-Perron Dimension
Algebraic Geometry
2022-02-24 v3 Rings and Algebras
Abstract
We propose a notion of Frobenius-Perron dimension for certain free -modules of infinite rank and compute it for the -modules of finite dimensional complex representations of unitary groups with nonnegative dominant weights. We also provide a lower bound for the Frobenius-Perron dimension of Schubert classes in the quantum cohomology of complex Grassmannians.
Keywords
Cite
@article{arxiv.1909.01693,
title = {On Frobenius-Perron Dimension},
author = {Changzheng Li and Ryan M. Shifler and Mingzhi Yang and Chi Zhang},
journal= {arXiv preprint arXiv:1909.01693},
year = {2022}
}