Geodesic
Equivariant Map Queer Lie Superalgebras
Canadian journal of mathematics, Tome 68 (2016) no. 2, pp. 258-279

Voir la notice de l'article provenant de la source Cambridge University Press

An equivariant map queer Lie superalgebra is the Lie superalgebra of regular maps from an algebraic variety (or scheme) $X$ to a queer Lie superalgebra $\mathfrak{q}$ that are equivariant with respect to the action of a finite group $\Gamma $ acting on $X$ and $\mathfrak{q}$ . In this paper, we classify all irreducible finite-dimensional representations of the equivariant map queer Lie superalgebras under the assumption that $\Gamma $ is abelian and acts freely on $X$ . We show that such representations are parameterized by a certain set of $\Gamma $ -equivariant finitely supported maps from $X$ to the set of isomorphism classes of irreducible finite-dimensional representations of $\mathfrak{q}$ . In the special case where $X$ is the torus, we obtain a classification of the irreducible finite-dimensional representations of the twisted loop queer superalgebra.
DOI : 10.4153/CJM-2015-033-6
Mots-clés : 17B65, 17B10, Lie superalgebra, queer Lie superalgebra, loop superalgebra, equivariant map superalgebra, finite-dimensional representation, finite-dimensional module 
Calixto, Lucas; Moura, Adriano; Savage, Alistair. Equivariant Map Queer Lie Superalgebras. Canadian journal of mathematics, Tome 68 (2016) no. 2, pp. 258-279. doi: 10.4153/CJM-2015-033-6
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