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Highest-weight representations of Brocherd`s algebras

Conference ·
OSTI ID:434841
General features of highest-weight representations of Borcherd`s algebras are described. to show their typical features, several representations of Borcherd`s extensions of finite-dimensional algebras are analyzed. Then the example of the extension of affine- su(2) to a Borcherd`s algebra is examined. These algebras provide a natural way to extend a Kac-Moody algebra to include the hamiltonian and number-changing operators in a generalized symmetry structure.
Research Organization:
Los Alamos National Lab., NM (United States)
Sponsoring Organization:
USDOE Assistant Secretary for Human Resources and Administration, Washington, DC (United States)
DOE Contract Number:
W-7405-ENG-36
OSTI ID:
434841
Report Number(s):
LA-UR--96-4589; CONF-970149--1; ON: DE97001664
Country of Publication:
United States
Language:
English

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