G-Algebras

About

G-Algebras are “almost” commutative polynomial rings, i.e. polynomial rings k[x_1,…,x_n] with commutator relations

x_j*x_i=c_ij*x_i*x_j+d_ij for i<j

with default c_ij=1, d_ij=0 (i.e., commuting variables).

For the examples, only the non default values c_ij, d_ij are recorded.

The base domain k is a field, either Q or Q(a1,…,ak) for (commuting) parameters a1,…,ak

Structure of the Data

• The G-Algebras Knowledge Base for download and as Linked Data
• The XML Resources in the repository with data complying to XSchema definitions GAlgebras.xsd, Common.xsd (common structure) and Types.xsd (type definitions)
• GAlgebras.Ontology - an informal description of the Ontology of the G-Algebra Knowledge Base developed so far.