Harmonically Induced Representations on Nilpotent Lie Groups and Automorphic Forms on Nilmanifolds

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Unitary Representations of Nilpotent Super Lie Groups

We prove that irreducible unitary representations of nilpotent super Lie groups can be obtained by induction from a distinguished class of sub super Lie groups which are natural generalizations of polarizing subgroups that appear in classical Kirillov theory. We prove that this kind of induction always yields irreducible unitary representations. We also prove a uniqueness result for the inducin...

متن کامل

Affine Actions on Nilpotent Lie Groups

To any connected and simply connected nilpotent Lie group N , one can associate its group of affine transformations Aff(N). In this paper, we study simply transitive actions of a given nilpotent Lie group G on another nilpotent Lie group N , via such affine transformations. We succeed in translating the existence question of such a simply transitive affine action to a corresponding question on ...

متن کامل

Uncertainty relations on nilpotent Lie groups

We give relations between main operators of quantum mechanics on one of most general classes of nilpotent Lie groups. Namely, we show relations between momentum and position operators as well as Euler and Coulomb potential operators on homogeneous groups. Homogeneous group analogues of some well-known inequalities such as Hardy's inequality, Heisenberg-Kennard type and Heisenberg-Pauli-Weyl typ...

متن کامل

Around heat decay on forms and relations of nilpotent Lie groups

One knows that the large time heat decay exponent on a nilpotent group is given by half the growing rate of the volume of its large balls. This work deals with the similar problem of trying to interpret geometrically the heat decay on (1-)forms. We will show how it is (partially) related to the depth of the relations required to define the group.

متن کامل

Direct Integral Decompositions and Multiplicities for Induced Representations of Nilpotent Lie Groups

Let A" be a Lie subgroup of the connected, simply connected nilpotent Lie group G, and let f, g be the corresponding Lie algebras. Suppose that a is an irreducible unitary representation of K. We give an explicit direct integral decomposition of IndA^c;o into irreducibles. The description uses the Kirillov orbit picture, which gives a bijection between GA and the coadjoint orbits in g* (and sim...

متن کامل

ذخیره 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: 1980

ISSN: 0002-9947

DOI: 10.2307/1999879