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Commutativity of adjoint operator algebras in simple Lie algebras

Conference · · Hadronic J.; (United States)
OSTI ID:6699227
 [1];
  1. Univ. of Rochester, NY
+ Show Author Affiliations
A multiplication is introduced in the adjoint operator space V/sub rho/(L,M) of a quasi-classical Lie algebra L. If L is a finite-dimensional simple Lie algebra over an algebraically closed field of characteristic O, and rho is an irreducible representation of L, then it is shown that V/sub rho/(L,M) is a commutative associative algebra.
DOE Contract Number:
AC02-76ER13065
OSTI ID:
6699227
Report Number(s):
CONF-8008162-
Conference Information:
Journal Name: Hadronic J.; (United States) Journal Volume: 4:2
Country of Publication:
United States
Language:
English

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Related Subjects

658000* -- Mathematical Physics-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGEBRAIC FIELD THEORY
AXIOMATIC FIELD THEORY
COMMUTATION RELATIONS
FIELD THEORIES
LIE GROUPS
QUANTUM FIELD THEORY
SYMMETRY GROUPS