mathematics, a regular element of a Lie algebra or Lie group is an element whose centralizer has dimension as small as possible. For example, in a complex...

zero divisor In ring theory, a von Neumann regular element of a ring A regular element of a Lie algebra or Lie group This disambiguation page lists mathematics...

are all equal A regular element of a Lie algebra, when the Lie algebra is gln Invertible matrix (this usage is rare) QS Regular Matrix, a quadraphonic...

groups. Every element of G {\displaystyle G} that is sufficiently close to the identity is the exponential of a matrix in the Lie algebra. The definition...

ring Baer ring, Rickart ring Lie ring, Lie algebra Ideal (Lie algebra) Jordan algebra Differential algebra Banach algebra Examples Rational number, Real...

In mathematics, a restricted Lie algebra (or p-Lie algebra) is a Lie algebra over a field of characteristic p>0 together with an additional "pth power"...

compact and simply connected. Algebraically, it is a simple Lie group (meaning its Lie algebra is simple; see below). The center of SU(n) is isomorphic to the...

is a glossary for the terminology applied in the mathematical theories of Lie groups and Lie algebras. For the topics in the representation theory of Lie...

in this case of the abstract result that over an algebraically closed field K (such as the complex numbers) the regular representation of G is completely...

of binary operation. Depending on the context, "algebra" can also refer to other algebraic structures, like a Lie algebra or an associative algebra....