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arxiv: 1909.01693 · v3 · pith:ZAAQU3F7 · submitted 2019-09-04 · math.AG · math.RA

On Frobenius-Perron Dimension

Changzheng Li , Ryan M. Shifler , Mingzhi Yang , Chi Zhang This is my paper

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classification math.AG math.RA
keywords dimensionfrobenius-perroncomplexmathbbmodulesboundcertainclasses
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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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