Some properties of generalized reduced Verma modules over $\mathbb {Z}$-graded modular Lie superalgebras

Zheng, Keli ; Zhang, Yongzheng

Czechoslovak Mathematical Journal, Tome 67 (2017) no. 3, pp. 699-713

Abstract (VO)

We study some properties of generalized reduced Verma modules over $\mathbb {Z}$-graded modular Lie superalgebras. Some properties of the generalized reduced Verma modules and coinduced modules are obtained. Moreover, invariant forms on the generalized reduced Verma modules are considered. In particular, for $\mathbb {Z}$-graded modular Lie superalgebras of Cartan type we prove that generalized reduced Verma modules are isomorphic to mixed products of modules.

Détail

DOI : 10.21136/CMJ.2017.0050-16

Classification : 17B05, 17B10, 17B50
Keywords: modular Lie superalgebra; generalized reduced Verma module; coinduced module; invariant form; mixed product

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