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- Chevalley_basis abstract "In mathematics, a Chevalley basis for a simple complex Lie algebra isa basis constructed by Claude Chevalley with the property that all structure constants are integers. Chevalley used these bases to construct analogues of Lie groups over finite fields, called Chevalley groups.The generators of a Lie group are split into the generators H and E indexed by simple roots and their negatives . The relations among the generators are the following:where the last relation is imposed only if is a root and p is the greatest positive integer such that γ − pβ is a root. The sign in the relation can be fixed arbitrarily.".
- Chevalley_basis wikiPageID "5424160".
- Chevalley_basis wikiPageRevisionID "584365005".
- Chevalley_basis hasPhotoCollection Chevalley_basis.
- Chevalley_basis subject Category:Lie_algebras.
- Chevalley_basis subject Category:Lie_groups.
- Chevalley_basis type Abstraction100002137.
- Chevalley_basis type Algebra106012726.
- Chevalley_basis type Cognition100023271.
- Chevalley_basis type Content105809192.
- Chevalley_basis type Discipline105996646.
- Chevalley_basis type Group100031264.
- Chevalley_basis type KnowledgeDomain105999266.
- Chevalley_basis type LieAlgebras.
- Chevalley_basis type LieGroups.
- Chevalley_basis type Mathematics106000644.
- Chevalley_basis type PsychologicalFeature100023100.
- Chevalley_basis type PureMathematics106003682.
- Chevalley_basis type Science105999797.
- Chevalley_basis comment "In mathematics, a Chevalley basis for a simple complex Lie algebra isa basis constructed by Claude Chevalley with the property that all structure constants are integers. Chevalley used these bases to construct analogues of Lie groups over finite fields, called Chevalley groups.The generators of a Lie group are split into the generators H and E indexed by simple roots and their negatives .".
- Chevalley_basis label "Base Chevalley".
- Chevalley_basis label "Chevalley basis".
- Chevalley_basis sameAs Base_Chevalley.
- Chevalley_basis sameAs m.0dl85j.
- Chevalley_basis sameAs Q5094304.
- Chevalley_basis sameAs Q5094304.
- Chevalley_basis sameAs Chevalley_basis.
- Chevalley_basis wasDerivedFrom Chevalley_basis?oldid=584365005.
- Chevalley_basis isPrimaryTopicOf Chevalley_basis.