The paper deals with the classification of real simple BC_r Lie algebras. We study the Clifford modules that naturally arise in real simple Lie algebras. In particular, by using the well-known isomorphisms among low-dimensional compact groups and induction, we classify algebras with root system BC_r.
A Clifford algebra approach to real simple Lie algebras. II. The algebras with root system BCr .
CIATTI, PAOLO
2003
Abstract
The paper deals with the classification of real simple BC_r Lie algebras. We study the Clifford modules that naturally arise in real simple Lie algebras. In particular, by using the well-known isomorphisms among low-dimensional compact groups and induction, we classify algebras with root system BC_r.
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