Published October 1998 | Version v1
Journal article

Lie group contractions and the separation of variables

  • 1. Centre de Recherches Matsematiques, Univ. de Montreal, Quebec (Canada)

Description

The Smorodinsky-Vilenkin method of trees for describing the separation of variables on n-dimensional spheres is used to show how contractions related to the separation of variables on spheres Sn and Euclidean spaces En. The tree diagrams for Sn and cluster diagrams for En are related to subgroup diagrams for O(n + 1) and E(n), respectively

Additional details

Publishing Information

Journal Title
Yadernaya Fizika
Journal Volume
61
Journal Issue
10
Journal Page Range
p. 1821-1827
ISSN
0044-0027
CODEN
IDFZA7

Conference

Title
8. International conference on symmetry methods in physics
Dates
28 Jul - 2 Aug 1997
Place
Dubna (Russian Federation)

INIS

Country of Publication
Russian Federation
Country of Input or Organization
Russian Federation
INIS RN
30049806
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Resource subtype / Literary indicator
Conference
Descriptors DEI
CASIMIR OPERATORS; EUCLIDEAN SPACE; HYPERGEOMETRIC FUNCTIONS; LIE GROUPS; MANY-DIMENSIONAL CALCULATIONS; MATRICES
Descriptors DEC
FUNCTIONS; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; RIEMANN SPACE; SPACE; SYMMETRY GROUPS

Optional Information

Notes
19 refs., 3 figs.