Reflexponents

Williams, Nathan

doi:10.1090/proc/15053

Reflexponents
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Proc. Amer. Math. Soc. 148 (2020), 3685-3698 Request permission

Abstract:

Certain classical generating functions for elements of reflection groups can be expressed using fundamental invariants called exponents. We give new analogues of such generating functions that accommodate orbits of reflecting hyperplanes using similar invariants we call reflexponents. Our verifications are case-by-case.

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