STIEFEL–WHITNEY CLASSES AND SYMPLECTIC LOCAL ROOT NUMBERS
2006 ◽
Vol 05
(04)
◽
pp. 403-416
Keyword(s):
Let K be a p-adic local field where p is an odd prime and let A be the unique quaternion division algebra whose centre is K. By means of Stiefel–Whitney classes, we define an exponential homomorphism ϒK from the orthogonal representations of A*/K* to fourth roots of unity. We then evaluate this homomorphism in terms of the local root numbers of two-dimensional symplectic Galois representations of K, using the Langlands correspondence relating Galois representations to continuous representations of A*.
1995 ◽
Vol 105
(3)
◽
pp. 259-267
◽
Keyword(s):
2011 ◽
Vol 2011
(652)
◽
2015 ◽
Vol 58
(1)
◽
pp. 115-127
◽
Keyword(s):
2009 ◽
Vol 5
(4)
◽
pp. 1311-1341
1979 ◽
Vol s3-39
(1)
◽
pp. 147-175
◽
Keyword(s):
Keyword(s):