Maximal semigroups in semi-simple Lie groups
نویسندگان
چکیده
منابع مشابه
Representations of Complex Semi-simple Lie Groups and Lie Algebras
This article is an exposition of the 1967 paper by Parthasarathy, Ranga Rao, and Varadarajan, on irreducible admissible Harish-Chandra modules over complex semisimple Lie groups and Lie algebras. It was written in Winter 2012 to be part of a special collection organized to mark 10 years and 25 volumes of the series Texts and Readings in Mathematics (TRIM). Each article in this collection is int...
متن کاملThompson’s conjecture for real semi-simple Lie groups
A proof of Thompson’s conjecture for real semi-simple Lie groups has been given by Kapovich, Millson, and Leeb. In this note, we give another proof of the conjecture by using a theorem of Alekseev, Meinrenken, and Woodward from symplectic geometry.
متن کاملHarmonic Functions on Discrete Subgroups of Semi - Simple Lie Groups
A description of the Poisson boundary of random walks on discrete subgroups of semi-simple Lie groups in terms of geometric boundaries of the corresponding Riemannian symmetric spaces is given. Let G be a discrete group, and { a probability measure on G. A function f on G is called-harmonic if f(g) = P f(gx) (x) 8 g 2 G. The Poisson boundary of the pair (G;) is the probability space (?;) with a...
متن کاملTranslation-invariant Cones of Functions on Semi-simple Lie Groups
Introduction. Originally, the phrase harmonic analysis had a function-theoretic meaning, referring to the decomposition of a function into exponentials. In the current interpretation, particularly in connection with noncommutative groups, the term refers not to functions but to representations, and harmonic analysis is regarded as part of the theory of group representations. This shift in inter...
متن کاملAn Analytic Riemann-hilbert Correspondence for Semi-simple Lie Groups
Geometric Representation Theory for semi-simple Lie groups has two main sheaf theoretic models. Namely, through Beilinson-Bernstein localization theory, Harish-Chandra modules are related to holonomic sheaves of D modules on the flag variety. Then the (algebraic) Riemann-Hilbert correspondence relates these sheaves to constructible sheaves of complex vector spaces. On the other hand, there is a...
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: Transactions of the American Mathematical Society
سال: 2001
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-01-02868-9