Vector fields on $\Pi$-symmetric flag supermanifolds

Autor:	Vishnyakova, E. G.
Rok vydání:	2015
Předmět:	Mathematics - Differential Geometry Mathematical Physics Mathematics - Complex Variables Mathematics - Representation Theory
Druh dokumentu:	Working Paper
Popis:	The main result of this paper is the computation of the Lie superalgebras of holomorphic vector fields on the complex $\Pi$-symmetric flag supermanifolds, introduced by Yu.I.~Manin. We prove that with one exception any vector field is fundamental with respect to the natural action of the Lie superalgebra $\mathfrak q_n(\mathbb C)$.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1506.02295 Zobrazit plný text záznamu View this record from Arxiv