KASH3 Ref - MatrixAlgebra

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| ### Function MatrixAlgebra ( alg^mat A, fld^fin E ) -> alg^mat, map() ### Optional Arguments
Results | elt-ord^rat |  | 1 <= Results <= 2
### Description Given a matrix algebra A over the finite field F and a subfield E of F, return the matrix algebra N over E obtained from A by expanding each component of an element of A into the block matrix associated with it (i.e. so N is A considered as an E-matrix algebra), together with the E-isomorphism from A onto N. ### Examples x_E:=FiniteField(5); x_Ey:=PolynomialAlgebra(x_E); x_F:= Extension(x_E,x_Ey.1^2+2); x_ma:=MatrixAlgebra(x_F,3); MatrixAlgebra(x_ma,x_E);
| Built: Mon Nov 14 21:12:39 UTC 2005 on mack