TY - JOUR
T1 - A construction of projective bases for irreducible representations of multiplicative groups of division algebras over local fields
AU - Kazhdan, David
N1 - Publisher Copyright:
© 2019, Springer Nature Switzerland AG.
PY - 2019/10/1
Y1 - 2019/10/1
N2 - Let F be a local non-archimedian field of positive characteristic, D a skew-field with center F and G0:=D0× the multiplicative group of D. The goal of this paper is to provide a canonical decomposition of any complex irreducible representation V of G in a direct sum of one-dimensional subspaces. I will also consider the case when F0=Qp,p=2,3,5,7 or 13.
AB - Let F be a local non-archimedian field of positive characteristic, D a skew-field with center F and G0:=D0× the multiplicative group of D. The goal of this paper is to provide a canonical decomposition of any complex irreducible representation V of G in a direct sum of one-dimensional subspaces. I will also consider the case when F0=Qp,p=2,3,5,7 or 13.
UR - http://www.scopus.com/inward/record.url?scp=85073453896&partnerID=8YFLogxK
U2 - 10.1007/s00029-019-0507-6
DO - 10.1007/s00029-019-0507-6
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AN - SCOPUS:85073453896
SN - 1022-1824
VL - 25
JO - Selecta Mathematica, New Series
JF - Selecta Mathematica, New Series
IS - 4
M1 - 61
ER -