- 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...
- {\displaystyle S} is a Lie
subalgebra, n g ( S ) {\displaystyle {\mathfrak {n}}_{\mathfrak {g}}(S)} is the
largest subalgebra such that S {\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...
- 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...
-
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...
- C*-
subalgebra of a C*-algebra is a
particular type of C*-
subalgebra whose structure is
closely related to that of the
larger C*-algebra. A C*-
subalgebra...
-
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...
- 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...
-
conjugate into the Lie
subalgebra of
upper triangular matrices, and is
equivalent to this
algebra being a Lie
subalgebra of a
Borel subalgebra. The
basic result...
