Invariant Forms
PositiveDefiniteForm(G) : GrpMat -> Mtrx
InvariantForms(G) : GrpMat -> [ AlgMatElt ]
InvariantForms(G, n) : GrpMat, RngIntElt -> [ AlgMatElt ]
NumberOfInvariantForms(G) : GrpMat -> RngIntElt, RngIntElt
Endomorphisms
EndomorphismRing(G) : GrpMat -> AlgMat
CentreOfEndomorphismRing(G) : GrpMat -> AlgMat
DimensionOfEndomorphismRing(G) : GrpMat -> RngIntElt
DimensionOfCentreOfEndomorphismRing(G) : GrpMat -> RngIntElt
Endomorphisms(G, n) : GrpMat, RngIntElt -> [ AlgMatElt ]
CentralEndomorphisms(G, n) : GrpMat, RngIntElt -> [ AlgMatElt ]
New Groups From Others
BravaisGroup(G) : GrpMat[RngInt] -> GrpMat
IntegralGroup(G) : GrpMat -> GrpMat, AlgMatElt
Perfect Forms and Normalizers
PerfectForms(G) : GrpMat[RngInt] -> SeqEnum
NormalizerGLZ(G) : GrpMat[RngInt] -> GrpMat[RngInt]
Conjugacy
ZClasses(G) : GrpMat -> SeqEnum, SeqEnum
IsGLZConjugate(G, H) : GrpMat[RngInt], GrpMat[RngInt] -> BoolElt, GrpMatElt
IsBravaisEquivalent(G, H) : GrpMat[RngInt], GrpMat[RngInt] -> BoolElt, GrpMatElt
IsGLQConjugate(G, H) : GrpMat, GrpMat -> BoolElt, GrpMatElt
Conjugacy Tests for Matrices
IsGLZConjugate(A, B) : AlgMatElt, AlgMatElt -> BoolElt, GrpMatElt
CentralizerGLZ(A) : AlgMatElt -> GrpMat
Examples
Example GrpMatQZ_ZClasses (H62E1)
Example GrpMatQZ_conjugacy (H62E2)
Example GrpMatQZ_conjugacy_matrices (H62E3)
Bibliography
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Version: V2.19 of
Wed Apr 24 15:09:57 EST 2013