For a complex semisimple Lie algebra g with Hermitian real form gR=kR+pR, there exists a positive system of roots such that the adjoint k-representation on pp stabilizes the positive and negative root spaces. In this article, we extend this result to contragredient Lie superalgebras g, and study the number of irreducible components of the k-representation. We also discuss the complex structure on gR/kR.
Hermitian real forms of contragredient Lie superalgebras / R. Fioresi, M.-K. Chuah. - In: JOURNAL OF ALGEBRA. - ISSN 0021-8693. - STAMPA. - 43:(2015), pp. 161-176. [10.1016/j.jalgebra.2015.04.018]
Hermitian real forms of contragredient Lie superalgebras.
FIORESI, RITA;
2015
Abstract
For a complex semisimple Lie algebra g with Hermitian real form gR=kR+pR, there exists a positive system of roots such that the adjoint k-representation on pp stabilizes the positive and negative root spaces. In this article, we extend this result to contragredient Lie superalgebras g, and study the number of irreducible components of the k-representation. We also discuss the complex structure on gR/kR.File in questo prodotto:
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