#############################################################################
LiePRingByLibrary( dim, nr )
-- returns a generic Lie p-ring. The prime is not specified and
it may contain parameters.
NumberOfLiePRings( dim )
-- returns the number of generic Lie p-rings.
LiePRingsByLibrary( dim )
-- returns the list of all generic Lie p-rings with given dimension.
NumberOfLiePRings( dim, P )
-- returns the number of Lie p-rings with given prime P.
LiePRingsByLibrary( dim, P )
-- returns the list of all Lie p-rings with given dimension and given prime.
LiePRingsInFamily( L, P )
-- takes a generic Lie p-ring and a prime P and returns all Lie p-rings
determined by L and P up to isom. This may return fail if the generic
Lie p-ring does not exist for the prime P.
#############################################################################
SpecialisePrimeOfLiePRing( L, P )
-- takes a generic Lie p-ring and a prime P and specialises.
SpecialiseLiePRing( L, P, para, vals )
-- takes a generic Lie p-ring and a prime P and parameters with values
and specialises.
#############################################################################
CreateLiePRing( SCTable )
-- takes an SC Table and creates Lie p-ring. An SC Table is a record
with entries .dim, .prime, .tab and possibly .param.
CheckIsLiePRing( L )
-- checks Jacobi identity
IsLiePRing( L )
-- property that should be true for the rings in this library.
#############################################################################
ViewShortPresentation( L )
ViewPCPresentation( L )
ParametersOfLiePRing( L )
PrimeOfLiePRing( L )
BasisOfLiePRing( L )
DimensionOfLiePRing( L )
PGroupByLiePring( L )
LiePMinimalGeneratingSet( L )
LiePLowerCentralSeries( L )
LiePLowerPCentralSeries( L )
LiePDerivedSeries( L )
#############################################################################
LiePSubring( L, gens )
LiePClosure( L, U, gens )
LiePIdeal( L, gens )
LiePQuotient( L, U )
¤ Dauer der Verarbeitung: 0.21 Sekunden
(vorverarbeitet am 2026-04-27)
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