李群T(D(VN, F))的自同构群

数学季刊 ›› 2011, Vol. 26 ›› Issue (2): 200-207.

李群T(D(V_N, F))的自同构群

1. Institute of Contemporary Mathematics, Henan University2. College of Mathematics and Information Science, Henan University

收稿日期:2007-01-27 出版日期:2011-06-30 发布日期:2023-04-27
作者简介:CHENG Yong-sheng(1973-), male, native of Lankao, Henan, an associated professor of Henan University, Ph.D., engages in Lie theory.
基金资助:
Supported by the National Science Foundation of China(11047030)； Supported by the Natural Science Foundation of Henan Provincial Education Department(2010B11003)； Supported by the Natural Science Foundation of Henan University(2009YBZR025)；

The Automorphism Group of the Lie Group T(D(V_N, F))

1. Institute of Contemporary Mathematics, Henan University2. College of Mathematics and Information Science, Henan University

Received:2007-01-27 Online:2011-06-30 Published:2023-04-27
About author:CHENG Yong-sheng(1973-), male, native of Lankao, Henan, an associated professor of Henan University, Ph.D., engages in Lie theory.
Supported by:
Supported by the National Science Foundation of China(11047030)； Supported by the Natural Science Foundation of Henan Provincial Education Department(2010B11003)； Supported by the Natural Science Foundation of Henan University(2009YBZR025)；

摘要/Abstract

摘要： In this paper, the authors determine maximal connected automorphism group of the Lie transformation group T(D(V_N, F)), which acting on the normal Siegel domain D(V_N, F) is simple and transitive, and prove that the maximal connected automorphism group of T(D(V_N, F)) is its maximal connected inner automorphism group.

关键词: normal Siegel domain, automorphism group, derivation

Abstract: In this paper, the authors determine maximal connected automorphism group of the Lie transformation group T(D(V_N, F)), which acting on the normal Siegel domain D(V_N, F) is simple and transitive, and prove that the maximal connected automorphism group of T(D(V_N, F)) is its maximal connected inner automorphism group.

Key words: normal Siegel domain, automorphism group, derivation

中图分类号:

O152.5

程永胜, 车颖涛. 李群T(D(V_N, F))的自同构群[J]. 数学季刊, 2011, 26(2): 200-207.

CHENG Yong-sheng, CHE Ying-tao. The Automorphism Group of the Lie Group T(D(V_N, F)) [J]. Chinese Quarterly Journal of Mathematics, 2011, 26(2): 200-207.

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