Vol. 235, No. 1, 2008

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Left-symmetric superalgebraic structures on the super-Virasoro algebras

Xiaoli Kong and Chengming Bai

Vol. 235 (2008), No. 1, 43–55
Abstract

We classify the compatible left-symmetric superalgebraic structures on the super-Virasoro algebras satisfying certain natural conditions.

Keywords
left-symmetric superalgebra, Virasoro algebra, super-Virasoro algebra
Mathematical Subject Classification 2000
Primary: 17B68, 17D25, 17B60
Milestones
Received: 29 August 2007
Revised: 14 December 2007
Accepted: 17 January 2008
Published: 1 March 2008
Authors
Xiaoli Kong
School of Mathematical Sciences
Xiamen University
Xiamen 361005
China
Chengming Bai
Chern Institute of Mathematics and LPMC
Nankai University
Tianjin 300071
China