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math.CO2026
Equivariant version of the characteristic quasi-polynomials of root systems
Ryo Uchiumi
An equivariant characteristic quasi-polynomial is a quasi-polynomial in consisting of the permutation character on the mod complement of the corresponding Coxeter arrangeme…
math.CO2026
Root systems constructed by folding of the extended Dynkin diagrams
Ryo Uchiumi
The extended affine Weyl group of a root system is the semidirect product of the corresponding Weyl group by its coweight lattice. The stabilizer subgroup of the extended affine We…