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MR2173717 (2006k:22017) 22E50
Orlik, Sascha (DLEIPMI)
On extensions of generalized Steinberg representations. (English summary)
J. Algebra 293 (2005), no. 2, 611630.
Let F be a nonArchimedean local field and let G be the group of Fvalued points of a connected
reductive algebraic group over F. Let be a relative Froot basis of G. For a subset I of ,
let PI G be the corresponding standard parabolic subgroup of G. The generalized Steinberg
representation with respect to I is then defined as the quotient
vPI
= indG
PI
(1)/
IJ
indG
PJ
(1).
