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arXiv · 1909.01693

On Frobenius-Perron Dimension

Changzheng Li·Ryan M. Shifler·Mingzhi Yang·Chi Zhang
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Abstract

We propose a notion of Frobenius-Perron dimension for certain free $\mathbb{Z}$-modules of infinite rank and compute it for the $\mathbb{Z}$-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.

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Changzheng Li, Ryan M. Shifler, Mingzhi Yang, Chi Zhang. 2019-09-04. On Frobenius-Perron Dimension. https://arxiv.org/abs/1909.01693

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