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Lie Algebras
New Features:
- The basic multiplication algorithm for elements of an algebra
has been sped up.
- The creation of subalgebras and quotient algebras has been
greatly sped up in general.
- The algorithm to compute a composition series has been greatly
sped up in general.
- The new intrinsic CompositionFactors returns a sequence
containing the composition factors of a Lie algebra defined by
structure constants. In fact, the value returned by this intrinsic
is the same as the second value returned by CompositionSeries,
but CompositionFactors can be very much faster than the
latter function.
- The intrinsic PleskenLieAlgebra constructs the Plesken Lie algebra of
a finite group G
. This is the linear span of the elements
g - g-1
in
the group algebra of G
.
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