 About 2,890 results  books.google.com Morphism j is compatible with natural filtrations on 3(g) and U (1])W obtained by
restrictions of standard filtrations on ... This shows that Harish—Chandra theorem
follow from the following result Theorem (The Chevalley's restriction theorem). 

 books.google.com If g I 05p(1,2n), then Z(g) I“ S(f])W by Theorem 13.1.1, so Z(g) is Noetherian. ...
The Chevalley Restriction Theorem Chevalley's Theorem states that for g a
semisimple Lie algebra and l) a Cartan subalgebra of g, the restriction
homomorphism ... 

 books.google.com A. BialynickiBirula, J. Carrell, W.M. McGovern  2002  Preview To apply the lemma, take V = g, E — h, a Cartan subalgebra, and A = K[g]G. Then
condition (a) follows from Chevalley's restriction theorem (mentioned in § 2.5),
while condition (b) is another standard result of Chevalley and a consequence of
... 

 books.google.com Their restrictions fi to t remain algebraically independent and generate the
invariant ring k[t]vv of Weylgroup invariant polynomials. The isomorphism k[fl]G ~
k[l]vv is Chevalley's restriction theorem, we will identify these two polynomial
rings. 

 books.google.com Restriction to Finite Subgroups Following work by Curtis [120] on representations
of Lie algebras and Chevalley groups over prime fields (in the framework of
Chevalley's 1955 Tohoku paper), the following fundamental Restriction Theorem
... 

 books.google.com HarishChandra's Theorem 27 the basic ideas, referring in the Notes below to
several thorough discussions in the literature. ... In this setting Chevalley proved
a fundamental Restriction Theorem: Since the Killing form is nondegenerate on ... 

 books.google.com Although this theorem appears to be only slightly stronger then the subquotient
theorem, we will see in the next chapter that the dilference between the two
theorems is significant. 3.1. The Chevalley restriction theorem 3.1.1. Let G be a
real ... 

 books.google.com Sigurdur Helgason, Gestur Ólafsson, Henrik Schlichtkrull  2009  Preview While the irreducible unitary representations of G0 are described by Mackey's
general semidirect product theorem [13, p. ... comes from Theorem 2.1 which is
an analog for entire functions of exponential type of Chevalley's restriction
theorem ... 

 books.google.com Let F = C. Fix a Chevalley basis of L, and let L' be the Rsubspace of L spanned
by the elements ,/1 /i, (1 < / < /), .vx.vx, and ^— 1 (x, + x.,) (a ... Show that the
Killing form *' of L' is just the restriction to L' of K, and that e' is negative definite. (L
' is a "compact real form" of ... For an approach to the existence theorem based on
a detailed (but elementary) study of signs, see Tits [1]. 26. Kostant's Theorem L, H
, ... 

 books.google.com The map a is the restriction of the first projection g x B —+ g which is proper
since B is a compact variety. ... have CMG + Clhlw. The result below, called the
Chevalley Restriction Theorem, asserts that this map is, in fact, an isomorphism. 

 