Invariant automatic continuity for compact connected simple Lie groups
نویسندگان
چکیده
منابع مشابه
Mean eigenvalues for simple, simply connected, compact Lie groups
We determine for each of the simple, simply connected, compact and complex Lie groups SU(n), Spin(4n+2) and E6 that particular region inside the unit disk in the complex plane which is filled by their mean eigenvalues. We give analytical parameterizations for the boundary curves of these so-called trace figures. The area enclosed by a trace figure turns out to be a rational multiple of π in eac...
متن کاملEquivariant Gerbes over Compact Simple Lie Groups
Using groupoid S-central extensions, we present, for a compact simple Lie group G, an infinite dimensional model of S-gerbe over the differential stack G/G whose Dixmier-Douady class corresponds to the canonical generator of the equivariant cohomology H G(G). c © 2001 Académie des sciences/Éditions scientifiques et médicales Elsevier SAS Gerbes Equivariantes sur les groupes de Lie simples compa...
متن کاملOrthogonal Polynomials of Compact Simple Lie Groups
Recursive algebraic construction of two infinite families of polynomials in n variables is proposed as a uniform method applicable to every semisimple Lie group of rank n. Its result recognizes Chebyshev polynomials of the first and second kind as the special case of the simple group of type A1. The obtained not Laurent-type polynomials are equivalent to the partial cases of theMacdonald symmet...
متن کاملThe Orbit Method for Compact Connected Lie Groups
who had a major influence on my mathematical development and who always had time for me and my questions. I am especially indebted to Prof. Hilgert for his guidance. He encouraged me to spend a semester abroad and proposed the topic of this thesis to me. I am also grateful to the " Studienstiftung des deutschen Volkes " for two brilliant summer academies and the opportunity to meet a lot of gre...
متن کاملInvariant Differential Operators for Non-Compact Lie Groups: Parabolic Subalgebras
In the present paper we start the systematic explicit construction of invariant differential operators by giving explicit description of one of the main ingredients the cuspidal parabolic subalgebras. We explicate also the maximal parabolic subalgebras, since these are also important even when they are not cuspidal. Our approach is easily generalised to the supersymmetric and quantum group sett...
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: Topology and its Applications
سال: 2019
ISSN: 0166-8641
DOI: 10.1016/j.topol.2019.106858