Advanced Search

Browse by Discipline

Scientific Societies

E-print Alerts

Add E-prints

E-print Network

  Advanced Search  

The Contragredient Joint with D. Vogan

Summary: The Contragredient
Joint with D. Vogan
Spherical Unitary Dual for Complex Classical Groups
Joint with D. Barbasch
The Contragredient
Problem: Compute the involution of the space of
L-homomorphisms corresponding to (the
i.e. : W
F LG, what ?
(Assume known. . . )
(Well defined, same for all ?)
Nowhere to be found ("much needed gap in the literature"),
even for F = R
Character: (g) = (g-1)
Lemma: There is an automorphism C of LG satisfying: C(g)
is G-conjugate to g-1 for g semisimple
(The Chevalley automorphism, extended to LG)
Lemma: there is an automorphism of WR satisfying: (g) is
WR conjugate to g-1


Source: Adams, Jeffrey - Department of Mathematics, University of Maryland at College Park


Collections: Mathematics