AsSubalgebra( A, U )
Let A be a parent algebra and U be a parent algebra or a subalgebra
with a possibly different parent algebra, such that the generators of U
are elements of A.
AsSubalgebra returns a new subalgebra S such
that S has parent algebra A and is generated by the generators of U.
gap> a:= [ [ 1, 0 ], [ 0, 0 ] ];; gap> b:= [ [ 0, 0 ], [ 0, 1 ] ] ;; gap> alg:= Algebra( Rationals, [ a, b ] );; gap> alg.name:= "alg";; gap> s:= Algebra( Rationals, [ a ] ); Algebra( Rationals, [ [ [ 1, 0 ], [ 0, 0 ] ] ] ) gap> AsSubalgebra( alg, s ); Subalgebra( alg, [ [ [ 1, 0 ], [ 0, 0 ] ] ] )
AsUnitalSubalgebra are the only functions in which the name
Subalgebra does not refer to the mathematical terms subalgebra and
superalgebra but to the implementation of algebras as subalgebras and
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