منابع مشابه
Integrable G-Strands on semisimple Lie groups
CNRS / Laboratoire de Météorologie Dynamique, École Normale Supérieure, Paris, France. Partially supported by a Projet Incitatif de Recherche contract from the Ecole Normale Supérieure de Paris. [email protected] Department of Mathematics, Imperial College London. London SW7 2AZ, UK. Partially supported by the European Research Council’s Advanced Grant 267382 FCCA. [email protected] Secti...
متن کاملStructure Theory of Semisimple Lie Groups
This section deals with the structure theory of complex semisimple Lie algebras. Some references for this material are [He], [Hu], [J], [K1], [K3], and [V]. Let g be a finite-dimensional Lie algebra. For the moment we shall allow the underlying field to be R or C, but shortly we shall restrict to Lie algebras over C. Semisimple Lie algebras are defined as follows. Let rad g be the sum of all th...
متن کاملLivšic’s theorem for semisimple Lie groups
In this paper we show that strong generalizations of the measurable Livšic theorem for cocycles taking values in connected non-compact linear semisimple Lie groups, a canonical example being SL(2,R), can be deduced from an elegant approach of Brin and Pesin to the dynamics of partially hyperbolic systems.
متن کاملA Polytope Calculus for Semisimple Groups
We define a collection of polytopes associated to a semisimple group G. Weight multiplicities and tensor product multiplicities may be computed as the number of such polytopes fitting in a certain region. The polytopes are defined as moment map images of algebraic cycles discovered by I. Mirković and K. Vilonen. These cycles are a canonical basis for the intersection homology of (the closures o...
متن کاملHeinz-Kato’s inequalities for semisimple Lie groups
Extensions of Heinz-Kato’s inequalities and related inequalities are obtained for semisimple connected noncompact Lie groups. Mathematics Subject Index 2000: Primary 22E46; Secondary 15A45
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2000
ISSN: 0021-8693
DOI: 10.1006/jabr.2000.8336