雙擴(kuò)張Schr?dinger-Virasoro代數(shù)的導(dǎo)子代數(shù)與自同構(gòu)群

徐崇斌

(溫州大學(xué)數(shù)學(xué)與信息科學(xué)學(xué)院，浙江溫州 325035)

雙擴(kuò)張Schr?dinger-Virasoro代數(shù)的導(dǎo)子代數(shù)與自同構(gòu)群

徐崇斌

(溫州大學(xué)數(shù)學(xué)與信息科學(xué)學(xué)院，浙江溫州 325035)

雙擴(kuò)張Schr?dinger-Virasoro代數(shù)是擴(kuò)張Schr?dinger-Virasoro代數(shù)的自然推廣．充分討論了雙擴(kuò)張Schr?dinger-Virasoro代數(shù)的導(dǎo)子代數(shù)與自同構(gòu)群，討論結(jié)果適用于任意有限秩情形．

雙擴(kuò)張Schr?dinger-Virasoro代數(shù)；導(dǎo)子代數(shù)；自同構(gòu)群

1 預(yù)備知識(shí)

2 雙擴(kuò)張Schr?dinger-Virasoro代數(shù)的導(dǎo)子代數(shù)

3 雙擴(kuò)張Schr?dinger-Virasoro代數(shù)的自同構(gòu)群

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

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

[4] Tan S, Zhang X. Automorphisms and Verma modules for generalized Schr?dinger-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 Schr?dinger-Virasoro Algebra

XU Chongbin

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

Double extended Schr?dinger-Virasoro algebra is a natural generalization of extended Schr?dinger-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 Schr?dinger-Virasoro Algebra; Derivation Algebra; Automorphism Group

(編輯：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文件可以從xuebao.wzu.edu.cn獲得

2011-02-21

徐崇斌(1977- )，男，湖北黃梅人，講師，碩士，研究方向：代數(shù)