- In mathematics, a
subalgebra is a
subset of an algebra,
closed under all its operations, and
carrying the
induced operations. "Algebra", when referring...
- In mathematics, a
Cartan subalgebra,
often abbreviated as CSA, is a
nilpotent subalgebra h{\displaystyle {\mathfrak {h}}} of a Lie
algebra g{\displaystyle...
-
representation theory, a
Borel subalgebra of a Lie
algebra g{\displaystyle {\mathfrak {g}}} is a
maximal solvable subalgebra. The
notion is
named after Armand...
- {\displaystyle S} is a Lie
subalgebra, n g ( S ) {\displaystyle {\mathfrak {n}}_{\mathfrak {g}}(S)} is the
largest subalgebra such that S {\displaystyle...
-
Engel subalgebra of a Lie
algebra with
respect to some
element x is the
subalgebra of
elements annihilated by some
power of ad x.
Engel subalgebras are...
-
Fuzzy subalgebras theory is a
chapter of
fuzzy set theory. It is
obtained from an
interpretation in a multi-valued
logic of
axioms usually expressing...
- In mathematics, a
toral subalgebra is a Lie
subalgebra of a
general linear Lie
algebra all of
whose elements are
semisimple (or
diagonalizable over an...
- In mathematics, a prin****l
subalgebra of a
complex simple Lie
algebra is a 3-dimensional
simple subalgebra whose non-zero
elements are regular. A finite-dimensional...
- a
semisimple subalgebra. One is its radical, a
maximal solvable ideal, and the
other is a
semisimple subalgebra,
called a Levi
subalgebra. The Levi decomposition...
- 78-dimensional e6{\displaystyle {\mathfrak {e}}_{6}} is the
grade 0
subalgebra (a
subalgebra of the
inner derivations by "vector-valued 1-forms") of this graded...
