- mailing list
- Reference manual
- Lie Algebras section of the manual
- index to the manual
- Semidirect product of Lie algebras
- LieAlgDB package - a database of Lie algebras of small dimension
- Peter Webb's computations of (co)homology of simplical complexes and groups
- HAP package for computations of (co)homology of groups
- Using Table Automorphisms for Constructing Character Tables in GAP by Thomas Breuer
- Wedderga package - Wedderburn decomposition of group algebras.
- Simplicial Homology GAP package by Jean-Guillaume Dumas.
-
A
primer on computational group homology and cohomology using GAP and SAGE by
David Joyner
- Circle - package for dealing with adjoing groups of group rings (a*b = ab + a + b)
- grape package contains routines for computing automorphisms of graphs.
- Maple applications (especially algebra section (including Lie algebra and commutators packages)).
- John Stembridge's packages for symmetric functions, characters of symmetric group, root systems, etc.
- CLIFFORD - Clifford algebras, octonions, Hopf algebras.
- CREP - "Designed to deal with categories whose morphism spaces are finite-dimensional over a field k. The main example of a category with this property is the category of finite-dimensional representations of an associative unital k-algebra".
- Maple stuff by W. D. Joyner, including finite fields manipulations and representations of semisimple Lie algebras.
- Maple bibliography by Nelson H. F. Beebe.
- Maple Lie algebras and linear algebra packages from the International Sophus Lie Center.
- Mathematica 5.2 for windows
- list of Mathematica algebraic materials, including classical Lie algebras.
- Pavel Grozman's SuperLie package.
- Combinatorica package for Young tableaux.
- NCAlgebra - packages for manipulating noncommutative algebraic expressions.
- Analytica - theorem prover.
Example of matrix manipulations:
A = matrix (RDF, [[1,2],[3,4]]) b = vector (RDF, [5,6]) A.eigenvalues() A.det() A^2 B = A^(-1) A.transpose() * A * b A * B |
Example of numeric computation:
RDF(2).log10() |
Computation of integer quotient:
z = Integer(291785258) z.div(317503) |