最終更新日:2022/12/24
The main results are: for all 3-Lie algebra A, 1) the generalized derivation algebra GDer(A) is the sum of quasiderivation algebra QDer(A) and quasicentroid Q𝛤(A); 2) quasiderivations of A can be embedded as derivations in a larger algebra; 3) quasiderivation algebra QDer(A) normalizer quasicentroid, that is, [QDer(A),Q𝛤(A)]⊆Q𝛤(A); 4) if A contains a maximal diagonalized tours T, then QDer(A) and Q𝛤(A) are diagonalized T-modules, that is, as T-modules, (T,T) semi-simplely acts on QDer(A) and Q𝛤(A), respectively..
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元となった例文
The
main
results
are:
for
all
3-Lie
algebra
A,
1)
the
generalized
derivation
algebra
GDer(A)
is
the
sum
of
quasiderivation
algebra
QDer(A)
and
quasicentroid
Q𝛤(A);
2)
quasiderivations
of
A
can
be
embedded
as
derivations
in
a
larger
algebra;
3)
quasiderivation
algebra
QDer(A)
normalizer
quasicentroid,
that
is,
[QDer(A),Q𝛤(A)]⊆Q𝛤(A);
4)
if
A
contains
a
maximal
diagonalized
tours
T,
then
QDer(A)
and
Q𝛤(A)
are
diagonalized
T-modules,
that
is,
as
T-modules,
(T,T)
semi-simplely
acts
on
QDer(A)
and
Q𝛤(A),
respectively..