𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Method of orbits in the theory of unitary representations of Lie groups

✍ Scribed by A. A. Kirillov


Publisher
Springer US
Year
1968
Tongue
English
Weight
295 KB
Volume
2
Category
Article
ISSN
0016-2663

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Integrating Unitary Representations of I
✍ Valerio Toledano Laredo πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 237 KB

We show that in the presence of suitable commutator estimates, a projective unitary representation of the Lie algebra of a connected and simply connected Lie group G exponentiates to G. Our proof does not assume G to be finite-dimensional or of Banach Lie type and therefore encompasses the diffeomor

Unitary Representations of Lie Groups wi
✍ Palle E.T. Jorgensen; Gestur Γ“lafsson πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 696 KB

We consider the following class of unitary representations ? of some (real) Lie group G which has a matched pair of symmetries described as follows: (i) Suppose G has a period-2 automorphism {, and that the Hilbert space H(?) carries a unitary operator J such that J?=(? b {) J (i.e., selfsimilarity)

Restrictions of Irreducible Unitary Repr
✍ M.B. Bekka; P. Driutti πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 172 KB

## RESTRICTION OF REPRESENTATIONS with Q-linearly independent real numbers : 1 , : 2 . Then By Proposition 1.1, r l is not contained in a proper rational ideal of g. So, ? l | 1 is irreducible, by Theorem 1.1. Now, if f =n 4 X 4 \*+n 5 X 5 \* # g\* with n 4 , n 5 # Z&[0] then it is easy to see th