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

Autor:	Zheng, Keli
Další autoři:	Zhang, Yongzheng
Jazyk:	angličtina
Předmět:	matematika mathematics články journal articles modular Lie superalgebra generalized reduced Verma module coinduced module invariant form mixed product
Druh dokumentu:	Non-fiction
ISSN:	0011-4642
Abstrakt:	Abstract: 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.
Databáze:	Katalog Knihovny AV ČR
Externí odkaz:	Plný text Full text from SpringerLink