-
isomorphism classs of
planar subalgebras of M(2,R),
while real
quaternions have only one
isomorphism class of
planar subalgebras as they are all isomorphic...
-
toral subalgebra. Kac–Moody
algebras and
generalized Kac–Moody
algebras also have
subalgebras that play the same role as the
Cartan subalgebras of semisimple...
- i\leq n\}} is a
Borel subalgebra, and conversely, each
Borel subalgebra is of that form by Lie's theorem. Hence, the
Borel subalgebras are
classified by the...
-
correspondence between Lie
groups and Lie algebras,
subgroups correspond to Lie
subalgebras, and
normal subgroups correspond to ideals. A Lie
algebra homomorphism...
- 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...
-
unimodular lattice with rank less than 16. The Lie
algebra E8
contains as
subalgebras all the
exceptional Lie
algebras as well as many
other important Lie...
-
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...
- finite-dimensional Lie
algebras over
infinite fields the
minimal Engel subalgebras are the
Cartan subalgebras. Engel's
theorem Winter,
David J. (1972),
Abstract Lie algebras...
-
every algebraic lattice arises as the
lattice of
subalgebras of some algebra. So in that regard,
subalgebras behave analogously to subsets. However, there...
-
hereditary C*-
subalgebras. Hence, two C*-algebras are
stably isomorphic if they
contain stably isomorphic full
hereditary C*-
subalgebras. Also hereditary...
