Transitive irreducible Lie superalgebras of vector fields

نویسندگان

چکیده

Let $\mathfrak{d}$ be the Lie superalgebra of superderivations sheaf sections exterior algebra homogeneous vector bundle $E$ over flag variety $G/P$, where $G$ is a simple finite-dimensional complex group and $P$ its parabolic subgroup. Then, transitive irreducible whenever defined by an $P$-module $V$ such that highest weight $V^*$ dominant. Moreover, simple; it isomorphic to fields on superpoint, i.e., $0|n$-dimensional supervariety.

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ژورنال

عنوان ژورنال: Communications in Mathematics

سال: 2022

ISSN: ['2336-1298', '1804-1388']

DOI: https://doi.org/10.46298/cm.10456