Titlebook: Noncompact Lie Groups and Some of Their Applications; Elizabeth A. Tanner,Raj Wilson Book 1994 Springer Science+Business Media Dordrecht 1

革新

Generalized Square Integrability and Coherent StatesWe present a method for the construction of coherent states, based on the notion of square integrability of a group representation on a homogeneous space. This generalized formalism allows to cover cases hitherto inaccessible, such as the Poincaré group.

Predigest

Applications of Sp(3,R) in Nuclear PhysicsA brief overview is given of the way the non-compact symplectic group Sp(3,R) is used as a dynamical group in the microscopic theory of nuclear collective motion. Two unfamiliar concepts arise in the theory: the concept of an . and the concept of a .. These concepts are explained and illustrated.

groggy

Extensions of the Mass 0 Helicity 0 Representation of the Poincare GroupWigner’s “l(fā)ittle group” description of the irreducible representations of the Poincare group associated to the foward light cone is extended to smooth representations of finite length. As an application, we prove that there is a unique indecomposable representation of this group composed of . copies of the mass 0 helicity 0 representation.

Folklore

FLING

殖民地

Nato Science Series C:http://image.papertrans.cn/n/image/667206.jpg

condescend

BUDGE

Harish-Chandra’s c-Function. A Mathematical Jewelin meromorphic function c. While he showed that this function determines the Plancherel measure for the spherical transform on . it has later turned out that this c-function plays many other roles in the representation theory of . and in analysis on various homogeneous spaces of .; see particularly Theorems 6.1, 8.1, and 9.1.

雜役

禁止