Extensions of Schrödinger–Virasoro conformal modules

Lamei Yuan; Kaijing Ling

doi:10.1080/00927872.2018.1541463

Extensions of Schrödinger–Virasoro conformal modules

Lamei Yuan^*
, Kaijing Ling

^*Corresponding author for this work

School of Mathematics

Harbin Institute of Technology

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

In this paper, we study extensions between two finite irreducible conformal modules over the Schrödinger–Virasoro conformal algebra and the extended Schrödinger–Virasoro conformal algebra. Also, we classify all finite nontrivial irreducible conformal modules over the extended Schrödinger–Virasoro conformal algebra. As a byproduct, we obtain a classification of extensions of Heisenberg–Virasoro conformal modules.

Original language	English
Pages (from-to)	2883-2903
Number of pages	21
Journal	Communications in Algebra
Volume	47
Issue number	7
DOIs	https://doi.org/10.1080/00927872.2018.1541463
State	Published - 3 Jul 2019

Keywords

Conformal module
Schrödinger–Virasoro conformal algebra
extended Schrödinger–Virasoro conformal algebra
extension

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10.1080/00927872.2018.1541463

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abstract = "In this paper, we study extensions between two finite irreducible conformal modules over the Schr{\"o}dinger–Virasoro conformal algebra and the extended Schr{\"o}dinger–Virasoro conformal algebra. Also, we classify all finite nontrivial irreducible conformal modules over the extended Schr{\"o}dinger–Virasoro conformal algebra. As a byproduct, we obtain a classification of extensions of Heisenberg–Virasoro conformal modules.",

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AU - Ling, Kaijing

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AB - In this paper, we study extensions between two finite irreducible conformal modules over the Schrödinger–Virasoro conformal algebra and the extended Schrödinger–Virasoro conformal algebra. Also, we classify all finite nontrivial irreducible conformal modules over the extended Schrödinger–Virasoro conformal algebra. As a byproduct, we obtain a classification of extensions of Heisenberg–Virasoro conformal modules.

KW - Conformal module

KW - Schrödinger–Virasoro conformal algebra

KW - extended Schrödinger–Virasoro conformal algebra

KW - extension

UR - https://www.scopus.com/pages/publications/85060355003

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DO - 10.1080/00927872.2018.1541463

M3 - 文章

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SN - 0092-7872

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JO - Communications in Algebra

JF - Communications in Algebra

IS - 7

ER -

Extensions of Schrödinger–Virasoro conformal modules

Abstract

Keywords

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