双扩张Schrödinger-Virasoro代数的导子代数与自同构群

徐崇斌

(温州大学数学与信息科学学院，浙江温州 325035)

双扩张Schrödinger-Virasoro代数的导子代数与自同构群

徐崇斌

(温州大学数学与信息科学学院，浙江温州 325035)

双扩张Schrödinger-Virasoro代数是扩张Schrödinger-Virasoro代数的自然推广．充分讨论了双扩张Schrödinger-Virasoro代数的导子代数与自同构群，讨论结果适用于任意有限秩情形．

双扩张Schrödinger-Virasoro代数；导子代数；自同构群

1 预备知识

2 双扩张Schrödinger-Virasoro代数的导子代数

3 双扩张Schrödinger-Virasoro代数的自同构群

[1] Roger C, Unterberger J. The Schrödinger-Virasoro Lie group ane algebra:from geometry to representation thery [J]. Ann Henri Poincare, 2006, 7: 1477-1529.

[2] Unterberger J. On vertex algebra representations of the Schrödinger-Virasoro Lie algebra [J]. Nuclear Physics B, 2009, 823(3): 320-371.

[3] Gao S, Jiang C, Pei Y. Structure of the extended Schrödinger-Virasoro Lie algebra [J]. Alg Colluq, 2009, 16(4): 549-566.

[4] Tan S, Zhang X. Automorphisms and Verma modules for generalized Schrödinger-Virasoro algebras [J]. J Alg, 2009, 322: 1379-1394.

[5] Farnsteiner R. Derivations and extensions of fnitely generated graded Lie algebras [J]. J Alg, 1988, 118(1): 34-45.

[6] Dokovic D Z, Zhao K. Derivations, Isomorphisms and second cohomology of generalized Witt algebras [J]. Tran Amer Math Soc, 1998, 350: 643-664.

Study on Derivation Algebra and Automorphism Group of Double Extended Schrödinger-Virasoro Algebra

XU Chongbin

(School of Mathematics and Information Science, Wenzhou University, Wenzhou, China 325035)

Double extended Schrödinger-Virasoro algebra is a natural generalization of extended Schrödinger-Virasoro algebra. In this paper, its derivation algebra and automorphism group were discussed. The achievement of the discussion is applicable to any finite rank.

Double Extended Schrödinger-Virasoro Algebra; Derivation Algebra; Automorphism Group

(编辑：王一芳)

O152.5

A

1674-3563(2011)06-0001-08

10.3875/j.issn.1674-3563.2011.06.001 本文的PDF文件可以从xuebao.wzu.edu.cn获得

2011-02-21

徐崇斌(1977- )，男，湖北黄梅人，讲师，硕士，研究方向：代数