Polarization and unitary representations of solvable Lie groups

  title={Polarization and unitary representations of solvable Lie groups},
  author={Louis Auslander and Bertram Kostant},
  journal={Inventiones mathematicae},

On holomorphically induced representations of exponential groups

(for definitions of several concepts in this introduction, see • ̃1) of expo nential groups and give a definitive answer to the problems of the non vanishing, the irreducibility, the equivalence and

Computing Maximal Tori Using LiE and Mathematica

  • Alfred G. Noël
  • Mathematics
    International Conference on Computational Science
  • 2003
This paper describes an algorithm for computing maximal tori of the reductive centralizer of a nilpotent element of an exceptional complex symmetric space. It illustrates also a good example of the

The Method of Orbits for Real Lie Groups

In this paper, we outline a developement of the theory of orbit method for representations of real Lie groups. In particular, we study the orbit method for representations of the Heisenberg group and

Restriction of irreducible unitary representations of Spin(N,1) to parabolic subgroups

In this paper, we obtain explicit branching laws for all unitary representations of $\operatorname{Spin}(N,1)$ restricted to a parabolic subgroup $P$. The restriction turns out to be a finite direct

On the plancherel formula for almost algebraic real lie groups

Introduction. In this paper I consider some problems in harmonic analysis for a class of real Lie groups which I call "almost algebraic". More precisely, an almost algebraic group is a triple where G

Representations of Lie Groups and the Orbit Method

It was a great honor and pleasure to be invited by the Association for Women Mathematicians, to give an address for Emmy Noether’s 100th birthday.

Q A ] 1 0 Se p 19 98 Deformation Quantization : Twenty Years After 1

We first review the historical developments, both in physics and in mathematics, that preceded (and in some sense provided the background of) deformation quantization. Then we describe the birth of

Finite central extensions of type I

Let G be a Lie group with solvable connected component and finitely-generated component group and α ∈ H 2 ( G , S 1 ) a cohomology class. We prove that if ( G , α ) is of type I then the same holds

Holomorphically Induced Representations of Solvable Lie Groups





CONTENTSIntroduction § 1. Induced representations § 2. Representations of Lie algebras and infinitesimal group rings § 3. A special nilpotent group N § 4. Nilpotent Lie groups with one-dimensional

On the theory of exponential groups

The representations of the oscillator group

Using the Mackey theory of induced representations all the unitary continuous irreducible representations of the 4-dimensional Lie groupG generated by the canonical variables and a positive definite

Sur les représentations unitaires des groupes de Lie résolubles

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