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Spherical Unitary dual for quasisplit real groups
quasisplit real groups Spherical Unitary
2015/8/17
G is the real points of a linear connected reductive group.
- g0 := Lie(G), Cartan involution, g0 = k0 + s0, g := (g0)C, K
maximal compact subgroup, g = k + s,
- P = MAN minimal parabolic subgrou...
SPHERICAL UNITARY DUAL FOR COMPLEX CLASSICAL GROUPS
CLASSICAL GROUPS SPHERICAL UNITARY DUAL
2015/8/17
The full unitary dual for the complex classical groups viewed as real Lie
groups is computed in [B1]. This was close to 20 years ago. Since then there
have been many advances, but the general proble...
SPHERICAL UNITARY REPRESENTATIONS FOR SPLIT REAL AND P-ADIC GROUPS
UNITARY REPRESENTATIONS P-ADIC GROUPS
2015/8/17
1.1. Positive de nite functions. We start with the classical notion of
positive de nite functions.
De nition. A continuous function f : R ! C is called positive de nite if
it satis es
(1...
Schurity of S-rings over a cyclic group and generalized wreath product of permutation groups
Schurity of S-rings cyclic group generalized wreath product of permutation groups
2011/2/25
The generalized wreath product of permutation groups is intro-duced. By means of it we study the schurity problem for S-rings over a cyclic group G and the automorphism groups of them.
If G is a group with a presentation of the form hx, y|x3 = y3 = W(x, y)2 = 1i, then either G
is virtually soluble or G contains a free subgroup of rank 2. This provides additional evidence
in favour...