Algebras
Algebras
Overview, creation, substructures, and general operations on algebras.
Structure Constant Algebras
Algebras defined by structure constants.
Associative Algebras
Structure, subalgebras, ideals, and the Jacobson radical.
Finitely Presented Algebras
Algebras given by generators and relations.
Matrix Algebras
Matrix algebras: creation, substructures, and extensions.
Group Algebras
Group algebras: creation, substructures, and element operations.
Basic Algebras
Basic algebras, gradings, idempotents, and their homomorphisms.
Quaternion Algebras
Quaternion algebra constructors, maximal orders, and splitting.
Algebras with Involution
Star algebras, involutions, and their decompositions.
Clifford Algebras
Clifford algebras, involutions, and spin groups.
Non-associative Algebras
Jordan algebras, alternative algebras, and octonions.