## 196 Citations

### On holomorphically induced representations of exponential groups

- Mathematics
- 1976

(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

- MathematicsInternational 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

- Mathematics
- 2002

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

- Mathematics
- 2020

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

- Mathematics
- 1984

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

- Mathematics
- 1983

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

- Mathematics
- 2022

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

- Mathematics
- 2022

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…

### Intertwining Operators for Irreducible Representations of an Exponential Solvable Lie Group

- MathematicsSpringer Monographs in Mathematics
- 2021

### Holomorphically Induced Representations of Solvable Lie Groups

- MathematicsSpringer Monographs in Mathematics
- 2021

## References

SHOWING 1-10 OF 12 REFERENCES

### UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS

- Mathematics, Psychology
- 1962

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…

### The representations of the oscillator group

- Mathematics
- 1967

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

- Mathematics
- 1965

© Gauthier-Villars (Éditions scientifiques et médicales Elsevier), 1965, tous droits réservés. L’accès aux archives de la revue « Annales scientifiques de l’É.N.S. » (http://www.…