> < ^ Date: Mon, 15 Mar 1999 15:56:05 -0800 (PST)
> < ^ From: Charles Wright <wright@math.uoregon.edu >
^ Subject: Announcement of the LAG share package

Dear GAP Forum members:

It is a pleasure to be able to announce the GAP 4 share package LAG
(short for Lie algebras of group algebras), developed by Richard
Rossmanith and forwarded by GAP Council member Andrea Caranti. Special
assistance in the conversion from GAP 3 to GAP 4 was provided by Willem
de Graaf.

This package contains a variety of functions for working with Lie
algebras obtained from associative algebras by using the "bracket"
operation ab-ba. In case the associative algebra has been constructed
using the GroupRing function, the package uses fast methods that take
advantage of known special properties of group algebras. Some of the
functions provided are LieCentre, LieDerivedSubalgebra, IsLieAbelian,
IsLieSolvable, IsLieNilpotent and variations on these. There are also
functions for maintaining contact with the original associative ring
and with the underlying group in case the algebra is a group algebra.

The GAP4 share packages web page


and mirrors give instructions for obtaining this and other share

C.R.B. Wright, Chairman
The GAP Council

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