*-Polynomial identities of matrices with the transpose involution: The low degrees

被引:6
作者
D'Amour, A [1 ]
Racine, M
机构
[1] Denison Univ, Dept Math & Comp Sci, Granville, OH 43023 USA
[2] Univ Ottawa, Dept Math, Ottawa, ON K1N 6N5, Canada
关键词
D O I
10.1090/S0002-9947-99-02301-6
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we investigate *-polynomial identities of minimal degree for the algebra of n x n matrices over a field, where n < 5 and * is the transpose involution. We first present some basic generators, and then proceed to show that all other minimal degree identities can be derived from those.
引用
收藏
页码:5089 / 5106
页数:18
相关论文
共 17 条
[1]   IDENTITIES IN RINGS WITH INVOLUTIONS [J].
AMITSUR, SA .
ISRAEL JOURNAL OF MATHEMATICS, 1969, 7 (01) :63-&
[2]  
AMITSUR SA, 1950, P AM MATH SOC, V1, P449
[3]   COCHARACTERS, CODIMENSIONS AND HILBERT SERIES OF THE POLYNOMIAL-IDENTITIES FOR 2X2 MATRICES WITH INVOLUTION [J].
DRENSKY, V ;
GIAMBRUNO, A .
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1994, 46 (04) :718-733
[4]   ON POLYNOMIAL-IDENTITIES FOR NXN MATRICES [J].
GIAMBRUNO, A .
JOURNAL OF ALGEBRA, 1990, 133 (02) :433-438
[5]  
KOSTANT B, 1958, J MATH MECH, V7, P237
[6]  
KOSTANT B, 1980, ADV MATH, V40, P155
[7]  
LEVCHENKO DV, 1980, CR ACAD BULGARE SCI, V33, P1043
[8]  
LEVCHENKO DV, 1982, SERDICA, V8, P42
[9]  
MA W, 1990, T AM MATH SOC, V320, P171
[10]  
MA WX, 1993, P AM MATH SOC, V118, P37