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 KASH3 Reference Manual
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Function

MatrixAlgebra ( alg^mat A, fld^fin E ) -> alg^mat, map()

Optional Arguments

Resultselt-ord^rat1 <= 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
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