Automorphisms of the standard Borel subalgebra of Lie algebra of Cm type over a commutative ring

被引：3

作者：

Yu, Qiu ^{[1
]}

Wang, Dengyin ^{[1
]}

Ou, Shikun ^{[1
]}

机构：

[1] China Univ Min & Technol, Dept Math, Xuzhou 221008, Peoples R China

来源：

LINEAR & MULTILINEAR ALGEBRA | 2007年 / 55卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Lie algebra; automorphisms; commutative rings;

D O I：

10.1080/03081080701248534

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

All automorphisms of the standard Borel subalgebra of the symplectic algebra sp(2m, R) are determined, provided that R is a commutative ring with identity, 2 is invertible in R.

引用

页码：545 / 550

页数：6

共 50 条

[21] AUTOMORPHISMS OF AZUMAYA ALGEBRAS OVER A COMMUTATIVE BANACH ALGEBRA
CRAW, IG
RAEBURN, I
TAYLOR, JL
AMERICAN JOURNAL OF MATHEMATICS, 1983, 105 (04) : 815 - 841
[22] THE ALGEBRA OF A COMMUTATIVE SEMIGROUP OVER A COMMUTATIVE RING WITH UNITY
MUNN, WD
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1985, 99 : 387 - 398
[23] Automorphisms of certain Borel subgroups over a connnected ring
曹佑安
Chinese Science Bulletin, 1996, (15) : 1318 - 1318
[24] Derivations and Automorphisms of a Lie Algebra of Block Type
Xia, Chunguang
Wang, Wei
ALGEBRA COLLOQUIUM, 2013, 20 (01) : 173 - 180
[25] Automorphisms of certain Borel subgroups over a connected ring
Cao, YA
CHINESE SCIENCE BULLETIN, 1996, 41 (15): : 1318 - 1318
[26] Derivations of the Lie algebra of infinite strictly upper triangular matrices over a commutative ring
Holubowski, Waldemar
Kashuba, Iryna
Zurek, Sebastian
COMMUNICATIONS IN ALGEBRA, 2017, 45 (11) : 4679 - 4685
[27] Automorphisms of the standard Borel subgroup of orthogonal group O(2m, R) over commutative rings
Wang, Dengyin
Yu, Qiu
Zhao, Yanxia
JOURNAL OF ALGEBRA, 2007, 317 (02) : 534 - 543
[28] Automorphisms of certain nilpotent Lie algebras over commutative rings
Cao, You'An
Jiang, Dezhi
Wang, Junying
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2007, 17 (03) : 527 - 555
[29] A NOTE ON ALGEBRA AUTOMORPHISMS OF TRIANGULAR MATRICES OVER COMMUTATIVE RINGS
KEZLAN, TP
LINEAR ALGEBRA AND ITS APPLICATIONS, 1990, 135 : 181 - 184
[30] ON THE NUMBER OF GENERATORS OF AN ALGEBRA OVER A COMMUTATIVE RING
First, Uriya A.
Reichstein, Zinovy
Williams, Ben
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2022, 375 (10) : 7277 - 7321

← 1 2 3 4 5 →