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general/lie-groups

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Euclidean group

Isometry group of Euclidean space

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Coxeter element

Concept in geometry

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Projective unitary group

Quotient of special unitary group by its center

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Real form (Lie theory)
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SO(8)

Rotation group in 8-dimensional Euclidean space

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Triality

Relationship between certain vector spaces

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Circle group

Lie group of complex numbers of unit modulus; topologically a circle

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Lie group

Group that is also a differentiable manifold with group operations that are smooth

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Simple Lie group

Connected non-abelian Lie group lacking nontrivial connected normal subgroups

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Automorphic form

Type of generalization of periodic functions in Euclidean space

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ADE classification

Mathematical classification

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En (Lie algebra)
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Polar decomposition

Type of matrix representation

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Complexification (Lie group)

Universal construction of a complex Lie group from a real Lie group

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Vogel plane
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Killing form

Symmetric bilinear form in mathematics

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Unitary group

Group of unitary matrices

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Maximal torus

Maximal compact connected Abelian Lie subgroup

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Dunkl operator

Mathematical operator

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Bruhat decomposition

Mathematical term

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Harish-Chandra's c-function

Function named after Harish Chandra

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Iwasawa decomposition

Mathematical process dealing with Lie groups

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Fundamental representation

Aspect of mathematical representation theory

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Cartan decomposition

Generalized matrix decomposition for Lie groups and Lie algebras

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Indefinite orthogonal group

Orthogonal group of an indefinite quadratic form

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Freudenthal magic square

Mathematical magic square

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Kostant's convexity theorem

Theorem about projections of coadjoint orbits of a connected compact Lie group

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Pin group
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Lie algebra

Algebraic structure used in analysis

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Classical group

Type of group in mathematics

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Lie point symmetry
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Regular element of a Lie algebra
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Pre-Lie algebra
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Clifford–Klein form
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Special linear Lie algebra

Concept in mathematics

general/lie-groups