59 Algebras

An algebra is a vector space equipped with a bilinear map (multiplication). This chapter describes the functions in GAP that deal with general algebras and associative algebras.

Algebras in GAP are vector spaces in a natural way. So all the functionality for vector spaces (see Chapter vector spaces) is also applicable to algebras.

  • InfoAlgebra V

    is the info class for the functions dealing with algebras (see Info Functions).

    Sections

    1. Constructing Algebras by Generators
    2. Constructing Algebras as Free Algebras
    3. Constructing Algebras by Structure Constants
    4. Some Special Algebras
    5. Subalgebras
    6. Ideals
    7. Categories and Properties of Algebras
    8. Attributes and Operations for Algebras
    9. Homomorphisms of Algebras
    10. Representations of Algebras

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    GAP 4 manual
    February 2000