Representations of the infinite-dimensional p-adic affine group
2020 ◽
Vol 23
(01)
◽
pp. 2050002
Keyword(s):
We introduce an infinite-dimensional [Formula: see text]-adic affine group and construct its irreducible unitary representation. Our approach follows the one used by Vershik, Gelfand and Graev for the diffeomorphism group, but with modifications made necessary by the fact that the group does not act on the phase space. However, it is possible to define its action on some classes of functions.
2008 ◽
Vol 19
(10)
◽
pp. 1187-1201
◽
Keyword(s):
Keyword(s):
2004 ◽
Vol 07
(04)
◽
pp. 507-526
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2011 ◽
Vol 110-116
◽
pp. 3750-3754
Keyword(s):
1991 ◽
Vol 118
(1-2)
◽
pp. 119-131
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1994 ◽
Vol 03
(02)
◽
pp. 379-392
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