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math.RT2017★ 12 cited
Macdonald's formula for Kac-Moody groups over local fields
Nicole Bardy-Panse, Stéphane Gaussent, Guy Rousseau
For an almost split Kac-Moody group G over a local non-archimedean field, the last two authors constructed a spherical Hecke algebra H (over the complex numbers C, say) and its Sat…
math.RT2014★ 35 cited
Iwahori-Hecke algebras for Kac-Moody groups over local fields
Nicole Bardy-Panse, Stéphane Gaussent, Guy Rousseau
We define the Iwahori-Hecke algebra for an almost split Kac-Moody group over a local non-archimedean field. We use the hovel associated to this situation, which is the analogue of…