Formulas for coefficients in the based ring of the lowest two-sided cell are derived in terms of generalized exponents, and a seemingly new positive basis is defined for the subring.
Dawydiak, On Lusztig’s asymptotic Hecke algebra for SL2, Proc
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A positivity property in the based ring of the lowest two-sided cell
Formulas for coefficients in the based ring of the lowest two-sided cell are derived in terms of generalized exponents, and a seemingly new positive basis is defined for the subring.