Left-symmetric Algebras From Linear Functions

Details Left-symmetric Algebras From Linear Functions Left-symmetric Algebras From Linear Functions

2004-06-16

arxiv.org/abs/math/0406325v1

Journal of Algebra 281 (2004) 651-665

Mathematics

Quantum Algebra

16 pages, accepted for publication in Journal of Algebra

Scientific paper

In this paper, some left-symmetric algebras are constructed from linear
functions. They include a kind of simple left-symmetric algebras and some
examples appearing in mathematical physics. Their complete classification is
also given, which shows that they can be regarded as generalization of certain
2-dimensional left-symmetric algebras.

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