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 -> SeqEnum
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 (H80E1)
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 (H80E2)
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Version: V2.19 of
Wed Apr 24 15:09:57 EST 2013