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Article Dans Une Revue Journal of Algebra Année : 2022

Formulae for two-variable Green functions


Based on results of Digne-Michel-Lehrer (2003) we give two formulae for two-variable Green functions attached to Lusztig induction in a finite reductive group. We present applications to explicit computation of these Green functions, to conjectures of Malle and Rotilio, and to scalar products between Lusztig inductions of Gelfand-Graev characters.
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Dates et versions

hal-03880360 , version 1 (01-12-2022)



François Digne, Jean Michel. Formulae for two-variable Green functions. Journal of Algebra, 2022, 610, pp.270-280. ⟨10.1016/j.jalgebra.2022.06.024⟩. ⟨hal-03880360⟩
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