In this paper we show that the convolution product of "almost characters" of a connected reductive group over a finite field is given by "structure constants" whose leading coefficients can be interpreted in K-theoretic terms and in particular are natural numbers.
The space $L^2$ on semi-infinite Grassmannian over finite field
Many zeros of many characters of GL(n,q)
Four Drafts of The Representation Theory of the Group of Infinite Matrices over Finite Fields
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