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

Title:

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

Creator:

Zheng, Keli and Zhang, Yongzheng

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:d2762849-2160-41d6-8a9f-f8d10872cc56
uuid:d2762849-2160-41d6-8a9f-f8d10872cc56
issn:0011-4642

Subject:

modular Lie superalgebra, generalized reduced Verma module, coinduced module, invariant form, mixed product, 13, and 51

Type:

model:article and TEXT

Format:

print, bez média, and svazek

Description:

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., Keli Zheng, Yongzheng Zhang., and Obsahuje bibliografické odkazy

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

699-713

Source:

Czechoslovak Mathematical Journal | 2017 Volume:67 | Number:3

Harvested from:

CDK

Metadata only:

false