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MR1926778 (2003g:22017) 22E50 (11F70 22E55)
Anandavardhanan, U. K. (6HYDRMS); Tandon, R. (6HYDRMS)
On distinguishedness. (English summary)
Pacific J. Math. 206 (2002), no. 2, 269286.
Let K/F be a quadratic extension of nonArchimedean local fields of characteristic zero and let
be the nontrivial Galois automorphism of K/F. We also let denote the automorphism of G =
GL(2, K) given by applying the nontrivial Galois automorphism to all of the entries of a matrix.
Define another automorphism of G by (g) = w t
g
w1
, where w = (0
1
1
0 ) and g
= (g)1
.
