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liering

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Liering might refer to
In mathematics, a Lie algebra (pronounced "Lee") is a vector space * * * * * * g * * * * * {\displaystyle {\mathfrak {g}}} * together with a non-associative, alternating bilinear map * * * * * * g * * * × * * * g * * * → * * * g * * * ; * ( * x * , * y * ) * ↦ * [ * x * , * y * ] * * * {\displaystyle {\mathfrak {g}}\times {\mathfrak {g}}\rightarrow {\mathfrak {g}};(x,y)\mapsto [x,y]} * , called the Lie bracket, satisfying the Jacobi identity. * Lie algebras are closely related to Lie groups, which are groups that are also smooth manifolds, with the property that the group operations of multiplication and inversion are smooth maps. Any Lie group gives rise to a Lie algebra. Conversely, to any finite-dimensional Lie algebra over real or complex numbers, there is a corresponding connected Lie group unique up to covering (Lie's third theorem). This correspondence between Lie groups and Lie algebras allows one to study Lie groups in terms of Lie algebras. * Lie algebras and their representations are used extensively in physics, notably in quantum mechanics and particle physics. * Lie algebras were so termed by Hermann Weyl after Sophus Lie in the 1930s. In older texts, the name infinitesimal group is used.

Liering might refer to

In mathematics, a Lie algebra (pronounced "Lee") is a vector space
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* {\displaystyle {\mathfrak {g}}\times {\mathfrak {g}}\rightarrow {\mathfrak {g}};(x,y)\mapsto [x,y]}
* , called the Lie bracket, satisfying the Jacobi identity.
* Lie algebras are closely related to Lie groups, which are groups that are also smooth manifolds, with the property that the group operations of multiplication and inversion are smooth maps. Any Lie group gives rise to a Lie algebra. Conversely, to any finite-dimensional Lie algebra over real or complex numbers, there is a corresponding connected Lie group unique up to covering (Lie's third theorem). This correspondence between Lie groups and Lie algebras allows one to study Lie groups in terms of Lie algebras.
* Lie algebras and their representations are used extensively in physics, notably in quantum mechanics and particle physics.
* Lie algebras were so termed by Hermann Weyl after Sophus Lie in the 1930s. In older texts, the name infinitesimal group is used.

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liering

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There are 7 letters in LIERING ( E1G2I1L1N1R1 )

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There are 7 letters in LIERING ( E¹G²I¹L¹N¹R¹ )