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Longer titles found: Special linear Lie algebra (view)

searching for Linear Lie algebra 10 found (27 total)

General linear group (3,929 words) [view diff] no match in snippet view article find links to article

In mathematics, the general linear group of degree n {\displaystyle n} is the set of n × n {\displaystyle n\times n} invertible matrices, together with

Classical Lie algebras (336 words) [view diff] exact match in snippet view article find links to article

where for g l ( n ) {\displaystyle {\mathfrak {gl}}(n)} the general linear Lie algebra and I n {\displaystyle I_{n}} the n × n {\displaystyle n\times n}

Toral subalgebra (504 words) [view diff] exact match in snippet view article find links to article

mathematics, a toral subalgebra is a Lie subalgebra of a general linear Lie algebra all of whose elements are semisimple (or diagonalizable over an algebraically

Parabolic Lie algebra (400 words) [view diff] exact match in snippet view article find links to article

algebraic closure of F {\displaystyle \mathbb {F} } . For the general linear Lie algebra g = g l n ( F ) {\displaystyle {\mathfrak {g}}={\mathfrak {gl}}_{n}(\mathbb

Littelmann path model (2,147 words) [view diff] exact match in snippet view article find links to article

Young tableaux for the general linear Lie algebra g l {\displaystyle {\mathfrak {gl}}} n or the special linear Lie algebra s l {\displaystyle {\mathfrak

Yangian (1,256 words) [view diff] exact match in snippet view article find links to article

defined in the same paper of Drinfeld. In the case of the general linear Lie algebra glN, the Yangian admits a simpler description in terms of a single

Poincaré–Birkhoff–Witt theorem (1,934 words) [view diff] exact match in snippet view article find links to article

of L = g l n , {\displaystyle L={\mathfrak {gl}}_{n},} the General linear Lie algebra; while Poincaré later stated it more generally in 1900. Armand Borel

Lie algebra (10,477 words) [view diff] exact match in snippet view article find links to article

example; it is a key example of a Lie algebra. It is called the general linear Lie algebra. When F is the real numbers, g l ( n , R ) {\displaystyle {\mathfrak

Projective linear group (5,613 words) [view diff] exact match in snippet view article find links to article

are the minimal (centerless) Lie group realizations for the special linear Lie algebra s l ( n ) : {\displaystyle {\mathfrak {sl}}(n)\colon } every connected

Representation theory of the Lorentz group (19,763 words) [view diff] exact match in snippet view article find links to article

algebra representation is complex linear) are related to the complex linear Lie algebra representations by exponentiation. The real linear representations