Real division algebras and other algebras motivated by physics
Conference
·
· Hadronic J.; (United States)
OSTI ID:6934964
In this survey we discuss several general techniques which have been productive in the study of real division algebras, flexible Lie-admissible algebras, and other nonassociative algebras, and we summarize results obtained using these methods. The principal method involved in this work is to view an algebra A as a module for a semisimple Lie algebra of derivations of A and to use representation theory to study products in A. In the case of real division algebras, we also discuss the use of isotopy and the use of a generalized Peirce decomposition. Most of the work summarized here has appeared in more detail in various other papers. The exceptions are results on a class of algebras of dimension 15, motivated by physics, which admit the Lie algebra sl(3) as an algebra of derivations.
- Research Organization:
- Univ. of Wisconsin, Madison
- OSTI ID:
- 6934964
- 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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