On Frobenius-Perron Dimension

28 Apr 2020 Li Changzheng Shifler Ryan M. Yang Mingzhi Zhang Chi

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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Categories


  • ALGEBRAIC GEOMETRY
  • RINGS AND ALGEBRAS