Gradings on d4
In this work we describe fine gradings of the simple
finite-dimensional Lie algebra d4 over an algebraically closed
field of characteristic zero. We use two independent approaches.
The first one involves some computational tools while the second
is of a more conceptual nature and is related to octonions and
triality. A common feature of both viewpoints is the use of
certain results of the theory of linear algebraic groups.
C. Draper < cdf@uma.es >
C. Martín < candido@apncs.cie.uma.es >
A. Viruel < viruel@agt.cie.uma.es >