Accession Number:

AD0688778

Title:

PROPERTIES OF THE EXCEPTIONAL G2-LIE GROUP,

Descriptive Note:

Corporate Author:

DUBLIN INSTITUTE FOR ADVANCED STUDIES (IRELAND)

Personal Author(s):

Report Date:

1968-03-12

Pagination or Media Count:

16.0

Abstract:

The weight diagrams and basis vectors for lower-dimensional representations of the G2-group are studied. The irreducible 21-dimensional representation of GL7 is reduced for G2 into the fundamental 7- and the regular 14-dimensional representation, and the irreducible 28-dimensional representation of GL7 is reduced into a 27- and a one-dimensional representation of G2. Bilinear, trilinear and quadrilinear invariants for G2 are constructed. Author

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE