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[MUG] LTP - Package for Lie Algebraic Computations
| [MUG] LTP - Package for Lie Algebraic Computations |
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Author: M Torres-Torriti
Posted: Tue, 4 Jun 2002 19:49:57 -0400 (
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>> From: "M. Torres-Torriti" />
Dear MUG:
The purpose of this message is to announce the the release of a recently
developed Maple package for symbolic computations frequently encountered
in the application of Lie algebra theory.
The package is called LTP (Lie Tools Package). The source code and its
documentation is available at:
http://www.cim.mcgill.ca/~migueltt/ltp/ltp.html
LTP can be employed for computations on Lie algebras of arbitrary type, as
it is constructed using a free Lie algebra of indeterminates as its
canvas. Among its several capabilities, the package greatly automates
and simplifies the following computations:
- Construction of ordered bases for free Lie algebras of indeterminates
(Philip Hall bases).
- Simplification of arbitrary Lie algebraic expressions.
- Composition of exponential mappings involving indeterminates
by the use of the Campbell-Baker-Hausdorff (CBH) formula.
- Construction of the Wei-Norman equations of logarithmic
coordinates of flows on nilpotent Lie groups.
The package has proved indispensable in the course of our own research
which is related to nonlinear systems control and can be of great help in the
solution of nonlinear filtering problems. We hope that it will encourage
further research relying on the Lie theory of groups and algebras.
Your comments and suggestions for improvement will be greatly appreciated!
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Miguel A. Torres-Torriti | Email: />
Dept. of Elec. and Comp. Engineering | Tel: 1 (514) 398-8202
McGill University, Canada | Fax: 1 (514) 398-7348
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