We define a representation of the chamber set Hecke algebra of an affine building. This representation allows to extend to every affine buildings of rank 3 the Kato's condition for the bijectivity of the Poisson transform.
A representation of the chamber set Hecke algebra of an affine building
MANTERO, ANNA MARIA;ZAPPA, ANNA
2013-01-01
Abstract
We define a representation of the chamber set Hecke algebra of an affine building. This representation allows to extend to every affine buildings of rank 3 the Kato's condition for the bijectivity of the Poisson transform.
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