-
multiplication operation in an
algebra may or may not be ****ociative,
leading to the
notions of ****ociative
algebras and non-****ociative
algebras.
Given an integer...
-
category theory,
topological algebra,
homological algebra, Lie
algebras, free
algebras, and
homology groups. The
influence of
algebra is wide
reaching and includes...
- {\mathfrak {g}}/{\mathfrak {i}}} of Lie
algebras. The
first isomorphism theorem holds for Lie
algebras. For the Lie
algebra of a Lie group, the Lie
bracket is...
- Also, in probability, σ-
algebras are
pivotal in the
definition of
conditional expectation. In statistics, (sub) σ-
algebras are
needed for the formal...
-
stronger observation that, up to isomorphism, all
Boolean algebras are concrete. The
Boolean algebras so far have all been concrete,
consisting of bit vectors...
- most
familiar Clifford algebras, the
orthogonal Clifford algebras, are also
referred to as (pseudo-)Riemannian
Clifford algebras, as
distinct from symplectic...
-
Algebraic notation is the
standard method for
recording and
describing the
moves in a game of chess. It is
based on a
system of
coordinates to uniquely...
-
compact Hausdorff space. C*-
algebras were
first considered primarily for
their use in
quantum mechanics to
model algebras of
physical observables. This...
-
article ****ociative
algebras are ****umed to have a
multiplicative identity,
denoted 1; they are
sometimes called unital ****ociative
algebras for clarification...
- The *-
algebras of
bounded operators that are
closed in the norm
topology are C*-
algebras, so in
particular any von
Neumann algebra is a C*-
algebra. The...
