Introduction
Construction of Structure Constant Algebras and Elements
Construction of a Structure Constant Algebra Algebra< R, n | Q : parameters > : Rng, RngIntElt, SeqEnum -> AlgGen Algebra< R, n | T : parameters > : Rng, RngIntElt, SeqEnum -> AlgGen ChangeBasis(A, B) : AlgGen, [AlgGenElt] -> AlgGen
Construction of Elements of a Structure Constant Algebra elt< A | r1, r2, ..., rn > : AlgGen, RngElt, RngElt, ..., RngElt -> AlgGenElt A ! Q : AlgGen, SeqEnum[RngElt] -> AlgGenElt BasisProduct(A, i, j) : AlgGen, RngIntElt, RngIntElt -> AlgGenElt BasisProducts(A) : AlgGen -> [[ AlgGenElt ]]
Operations on Structure Constant Algebras and Elements
Operations on Structure Constant Algebras IsCommutative(A) : AlgGen -> BoolElt IsAssociative(A) : AlgGen -> BoolElt IsLie(A) : AlgGen -> BoolElt DirectSum(A, B) : AlgGen, AlgGen -> AlgGen Example AlgCon_jordan (H83E1)
Indexing Elements a[i] : AlgGenElt, RngIntElt -> RngElt a[i] := r : AlgGenElt, RngIntElt, RngElt -> AlgGenElt
The Module Structure of a Structure Constant Algebra Module(A) : AlgGen -> ModTupRng Degree(A) : AlgGen -> RngIntElt Degree(a) : AlgGenElt -> RngIntElt ElementToSequence(a) : AlgGenElt -> SeqEnum Coordinates(S, a) : AlgGen, AlgGenElt -> SeqEnum InnerProduct(a, b) : AlgGenElt, AlgGenElt -> RngElt Support(a) : AlgGenElt -> SetEnum
Homomorphisms hom< A -> B | Q > : AlgGen, AlgGen, [ AlgGenElt ] -> Map Example AlgCon_cayley (H83E2) [Next][Prev] [Right] [____] [Up] [Index] [Root]
