1. Relative Frobenius formula.
- Author
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Aizenbud, Avraham, Avni, Nir, and Krauz, Yoav
- Subjects
- *
GENERALIZED spaces , *FINITE groups , *IRREDUCIBLE polynomials , *ZETA functions , *INTEGERS , *GEOMETRY - Abstract
For a finite group G, Frobenius found a formula for the values of the function ∑IrrG(dim π)−s for even integers s, where IrrG is the set of irreducible representations of G. We generalize this formula to the relative case: for a subgroup H, we find a formula for the values of the function ∑IrrG(dim π)−s(dim πH)−t. We apply our results to compute the E-polynomials of Fock–Goncharov spaces and to relate the Gelfand property to the geometry of generalized Fock–Goncharov spaces. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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