Published 2002 | Version v1
Journal article

Weyl Orbit Characters and Schur Functions

  • 1. Department of Mathematics, Istanbul Kueltuer University, Istanbul (Turkey)
  • 2. Department of Physics, Faculty of Science, Istanbul Technical University, Istanbul (Turkey)

Description

For finite Lie algebras, it is shown that characters can be defined fist for Weyl orbits and then for irreducible representations. For AN Lie algebras, weight multiplicities can then be calculated by only stating that characters are equivalent to Schur functions. This also means that to calculate characters there is no need to sum over Weyl groups. The compatibility with the Weyl character formula will however be shown

Additional details

Publishing Information

Journal Title
Science and Engineering Journal of Istanbul Kueltuer University
Journal Volume
1
Journal Issue
1
Journal Page Range
p. 41-52
ISSN
1303-2739

INIS

Country of Publication
Turkey
Country of Input or Organization
Turkey
INIS RN
33024621
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Resource subtype / Literary indicator
Numerical Data
Descriptors DEI
ALGEBRA; ELEMENTARY PARTICLES; FUNCTIONS; LIE GROUPS; MULTIPLICITY; ROOTS; THEORETICAL DATA; WEYL UNIFIED THEORY
Descriptors DEC
DATA; FIELD THEORIES; INFORMATION; MATHEMATICS; NUMERICAL DATA; SYMMETRY GROUPS; UNIFIED-FIELD THEORIES