Analytic vectors in continuousp-adic representations
2009 ◽
Vol 145
(1)
◽
pp. 247-270
◽
Keyword(s):
AbstractGiven a compactp-adic Lie groupGover a finite unramified extensionL/ℚplet GL/ℚpbe the product over all Galois conjugates ofG. We construct an exact and faithful functor from admissibleG-Banach space representations to admissible locallyL-analyticGL/ℚp-representations that coincides with passage to analytic vectors in the caseL=ℚp. On the other hand, we study the functor ‘passage to analytic vectors’ and its derived functors over general basefields. As an application we compute the higher analytic vectors in certain locally analytic induced representations.
2013 ◽
Vol 56
(2)
◽
pp. 427-437
◽
Keyword(s):
1996 ◽
Vol 05
(02)
◽
pp. 173-181
◽
Keyword(s):
2010 ◽
Vol 146
(3)
◽
pp. 772-794
◽
2006 ◽
Vol 49
(1)
◽
pp. 1-15
◽
Keyword(s):
2011 ◽
Vol 52-54
◽
pp. 127-132
Keyword(s):
Keyword(s):
2007 ◽
Vol 82
(1)
◽
pp. 85-109
◽
Keyword(s):