Topological Frobenius properties for nilpotent groups. II.
نویسندگان
چکیده
منابع مشابه
Frobenius Recip-rocity and Extensions of Nilpotent Lie Groups
In §1 we use COO-vector methods, essentially Frobenius reciprocity, to derive the Howe-Richardson multiplicity formula for compact nilmanifolds. In §2 we use Frobenius reciprocity to generalize and considerably simplify a reduction procedure developed by Howe for solvable groups to general extensions of nilpotent Lie groups. In §3 we give an application of the previous results to obtain a reduc...
متن کاملTopological multiple recurrence for polynomial configurations in nilpotent groups
We establish a general multiple recurrence theorem for an action of a nilpotent group by homeomorphisms of a compact space. This theorem can be viewed as a nilpotent version of our recent polynomial Hales-Jewett theorem ([BL2]) and contains nilpotent extensions of many known “abelian” results as special cases. 0. Introduction 0.1. The celebrated van der Waerden theorem on arithmetic progression...
متن کاملNearly Rational Frobenius Groups
In this paper, we study the structure of nite Frobenius groups whose non-rational or non-real irreducible characters are linear.
متن کاملFirst non-abelian cohomology of topological groups II
In this paper we introduce a new definition of the first non-abelian cohomology of topological groups. We relate the cohomology of a normal subgroup $N$ of a topological group $G$ and the quotient $G/N$ to the cohomology of $G$. We get the inflation-restriction exact sequence. Also, we obtain a seven-term exact cohomology sequence up to dimension 2. We give an interpretation of the first non-a...
متن کاملTopological Groups with Rohlin Properties
In his classical paper [28] P. R. Halmos shows that weak mixing is generic in the measure preserving transformations. Later, in his book [29], he gave a more streamlined proof of this fact based on a fundamental lemma due to V. A. Rohlin. For this reason the name of Rohlin has been attached to a variety of results, old and new, relating to the density of conjugacy classes in topological groups....
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: MATHEMATICA SCANDINAVICA
سال: 1991
ISSN: 1903-1807,0025-5521
DOI: 10.7146/math.scand.a-12348