Lie algebra in a sentence
1) One Lie algebra corresponds to both groups.
algebra collocations
2) A notable example is a Lie algebra .
3) Let g be a finite dimensional Lie algebra .
Lie algebra example sentences
4) Its Lie algebra is R with the trivial bracket.5) The Lie algebra of a Lie group.
6) Their Lie algebras consist of upper and lower strictly triangular matrices.
7) A group is complex according to whether its Lie algebra is complex.
8) In particular, a simple Lie algebra is semisimple.
9) There are modules of a Lie algebra as well.
10) Hence __FORMULA__ is the Lie algebra of __FORMULA__.
11) Its Lie algebra is the +1 eigenspace __FORMULA__.
12) Any Lie group gives rise to a canonically determined Lie algebra .
13) This gives the structure of a 3-graded Lie algebra .
14) Their representation theory is similar to the representation theory of Lie algebras .
15) In particular, they form a finite-dimensional Lie algebra .
example sentences with Lie algebra
16) Dynkin diagrams classify "complex" semisimple Lie algebras .17) They form a finite-dimensional complex semisimple Lie algebra .
18) Thus, a semisimple Lie algebra is reductive.
19) Associated with any Lie group is the Lie algebra of group generators.
20) Note that the Lie algebra of the Heisenberg group is nilpotent.
21) Its Lie algebra consists of the skew-adjoint elements in __FORMULA__.
22) Since __FORMULA__, the corresponding complex Lie algebra contains the operators __FORMULA__.
23) The corresponding Lie groups and Lie algebra are denoted __FORMULA__ and __FORMULA__.
24) Let g be a Lie algebra .
25) This upper bound is related to properties of the Lie algebra E7.
26) The Lie algebra of "P" is the semidirect product __FORMULA__.
27) If the Lie algebra is infinite-dimensional, the issue is more subtle.
28) This is a period 2 conjugate-linear automorphism of the Lie algebra .
How to use Lie algebra in a sentence
29) For any finite dimensional Lie algebra there is a corresponding connected Lie group.30) Equivariant maps for representations of an associative or Lie algebra are defined similarly.
31) The result on Lie algebras we need is called Ado's theorem.
32) The group "N" is lower unitriangular and its Lie algebra lower triangular.
33) The commutators __FORMULA__ span the complex Lie algebra of derivations of __FORMULA__.
34) The following table compares its Lie algebra to the Lie algebra of derivations.
35) The following table compares its Lie algebra to the Lie algebra of derivations.
36) Here we concentrate on the study of Lie groups rather than Lie algebras .
37) The resulting Lie algebras have Dynkin diagrams according to the table at right.
38) Hence the question arises: what are the simple Lie algebras of compact groups?
39) These commutation relations mean that L has the mathematical structure of a Lie algebra .
40) The +1 eigenspace corresponds to the Lie algebra of "K""T".
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