BourbakiV1, France, Analysis, bibRecord, 000452

Isomorphisms of Finite Invariant for Enveloping Algebras, Semi-simple Case

Identifieur interne : 000452 ( France/Analysis ); précédent : 000451; suivant : 000453

Isomorphisms of Finite Invariant for Enveloping Algebras, Semi-simple Case

Auteurs : Philippe Caldero [France]

Source :

Advances in Mathematics [ 0001-8708 ] ; 1998.

RBID : ISTEX:94A10E9B2213C7083DA523F7F663FBE8BF10D779

English descriptors

KwdEn :
- Adjoint, Adjoint group, Algebra, Caldero, Casimir, Casimir element, Central character, Central characters, Diagram automorphisms, Distl2, Finite codimensional, Finite integral algebra, Finite subgroup, Finite subgroups, Fundamental weights, Invariant algebra, Irreducible representation, Isomorphism, Lop8m, Page codes, Partial order, Philippe, Philippe caldero, Prime ideals, Regular integral, Resp, Simple component, Simple roots, Spec, Subgroup.
Teeft :
- Adjoint, Adjoint group, Algebra, Caldero, Casimir, Casimir element, Central character, Central characters, Diagram automorphisms, Distl2, Finite codimensional, Finite integral algebra, Finite subgroup, Finite subgroups, Fundamental weights, Invariant algebra, Irreducible representation, Isomorphism, Lop8m, Page codes, Partial order, Philippe, Philippe caldero, Prime ideals, Regular integral, Resp, Simple component, Simple roots, Spec, Subgroup.

Abstract

Abstract: Letgbe a finite dimensional semi-simple Lie algebra,U(g) its enveloping algebra, andHa finite subgroup ofAutU(g). LetAbe the invariant algebraUH. In this article, we prove that the Lie algebragis given (up to an isomorphism) by the algebraA. If we impose thatHis a finite subgroup of the adjoint group ofgacting on the enveloping algebraU(g), then the algebraAgives a unique group algebraC[H]. Ifg=sl2, then the groupHcan be recovered fromA.

Url:

https://api.istex.fr/document/94A10E9B2213C7083DA523F7F663FBE8BF10D779/fulltext/pdf

DOI: 10.1006/aima.1997.1711

Affiliations:

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ISTEX:94A10E9B2213C7083DA523F7F663FBE8BF10D779

Le document en format XML

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Isomorphisms of Finite Invariant for Enveloping Algebras, Semi-simple Case

Isomorphisms of Finite Invariant for Enveloping Algebras, Semi-simple Case

Source :

English descriptors

Abstract

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