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bn:00136103n
Noun Concept
Categories: Lie groups
EN
classical group  classical algebraic group  Classical compact groups  classical groups  classical Lie algebra
EN
In mathematics, the classical groups are defined as the special linear groups over the reals R, the complex numbers C and the quaternions H together with special automorphism groups of symmetric or skew-symmetric bilinear forms and Hermitian or skew-Hermitian sesquilinear forms defined on real, complex and quaternionic finite-dimensional vector spaces. Wikipedia
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EN
In mathematics, the classical groups are defined as the special linear groups over the reals R, the complex numbers C and the quaternions H together with special automorphism groups of symmetric or skew-symmetric bilinear forms and Hermitian or skew-Hermitian sesquilinear forms defined on real, complex and quaternionic finite-dimensional vector spaces. Wikipedia
Groups representable as matrix groups over a real division associative algebra (reals, complexes, or quaternions) that preserve a certain bilinear form (symmetric, skew-symmetric, Hermitian, skew-Hermitian, etc.) Wikidata
IS A
Lie group
algebraic group
HAS KIND
general linear group
special linear group
symplectic group
unitary group
special unitary group
+3 relations
STUDIED BY
category theory
Wikipedia
EN
classical group
Wikidata
EN
classical group
Wikipedia Redirections
EN
Classical compact groups, classical groups, classical Lie algebra, classical Lie group, classical Lie groups, standard representation
Wikidata Alias
EN
classical algebraic group, classical Lie group

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