Read e-book online Algebraic Groups PDF

By Arjeh M. Cohen, Wim H. Hesselink, Wilberd L.J. van der Kallen, Jan R. Strooker

ISBN-10: 3540182349

ISBN-13: 9783540182344

From 1-4 April 1986 a Symposium on Algebraic teams was once held on the college of Utrecht, The Netherlands, in get together of the 350th birthday of the college and the sixtieth of T.A. Springer. famous leaders within the box of algebraic teams and similar components gave lectures which coated broad and critical components of arithmetic. although the fourteen papers during this quantity are generally unique examine contributions, a few survey articles are incorporated. Centering at the Symposium topic, such different subject matters are lined as Discrete Subgroups of Lie teams, Invariant conception, D-modules, Lie Algebras, exact features, team activities on kinds.

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I]. W e m a k e no assumption on the n u m b e r of connected components of a ~- or C-Lie group. In [3, 3°], P. Blanc introduced the category ~G of differentiable G-modules, for G a real or corrlplex Lie group. Let us recall that an object M is a complete locally convex topological vector space over of ~ G ¢ , endowed with a group h o m o m o r p h i s m p •G ~ Aut(M) , satisfying t h e following conditions: (D 1) if C c G is c o m p a c t , p(C) is e q u i c o n t i n u o u s (D2) for a n y m E M, the function g ~ p(g) .

BBI] Borho, W. : Differentia] operators on homogeneous spaces I; Invent. Math. 69 (1982), 437-476. [BB2] Borho, W. : Differential operators on homogeneous spaces I I I ; Invent. Math. 80 (1985), 1-68. [BBMI] Borho, W. L. : A note on primitive ideals and characteristic classes; in: Geometry Today, Birkh~user: Progress in Math. 60 (1985), 11-20. [BBM2] Borho, W. L. : Springer's Weyl group representations through characteristic classes of cone bundles; IHES preprint M/85/70, Dec. 1985. [BBM3] Borho, W.

For i= 0,Bx(~) : x E H I(G x). 2 Lie groups Let F be a non-discrete locally compact topological field, whose topology is defined by an absolute value I I . i]. W e m a k e no assumption on the n u m b e r of connected components of a ~- or C-Lie group. In [3, 3°], P. Blanc introduced the category ~G of differentiable G-modules, for G a real or corrlplex Lie group. Let us recall that an object M is a complete locally convex topological vector space over of ~ G ¢ , endowed with a group h o m o m o r p h i s m p •G ~ Aut(M) , satisfying t h e following conditions: (D 1) if C c G is c o m p a c t , p(C) is e q u i c o n t i n u o u s (D2) for a n y m E M, the function g ~ p(g) .

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Algebraic Groups by Arjeh M. Cohen, Wim H. Hesselink, Wilberd L.J. van der Kallen, Jan R. Strooker


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