STABILIZATION OF UNITARY GROUPS OVER POLYNOMIAL-RINGS

被引:0
作者
HONG, Y [1 ]
机构
[1] HARBIN INST TECHNOL,DEPT MATH,HARBIN 150001,PEOPLES R CHINA
关键词
STABILIZATION THEOREM; UNITARY GROUP; POLYNOMIAL RING;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The author studies the stabilization for the unitary groups over polynomial rings and obtains for them some results analogous to the results of linear groups and symplectic groups. It is especially proved that K1U(A) = K1U(R) where A = R[X(1),...,X(m)], R is a ring of algebraic integers in a quadratic field Q(root d).
引用
收藏
页码:177 / 190
页数:14
相关论文
共 9 条
[1]  
ARLINGHAUSE F, IN PRESS J AUSTR M A
[2]  
BAK, 1981, K THEORY FORMS
[3]   ON SYMPLECTIC GROUPS OVER POLYNOMIAL-RINGS [J].
GRUNEWALD, F ;
MENNICKE, J ;
VASERSTEIN, L .
MATHEMATISCHE ZEITSCHRIFT, 1991, 206 (01) :35-56
[4]   STABILIZATION OF SYMPLECTIC GROUPS OVER A POLYNOMIAL RING [J].
KOPEIKO, VI .
MATHEMATICS OF THE USSR-SBORNIK, 1978, 34 (05) :655-669
[5]  
MAGURA B, 1988, INVENT MATH, V91, P535
[6]  
SUSLIN A, 1982, J SOVIET MATH, P2665
[7]   STRUCTURE OF SPECIAL LINEAR GROUP OVER POLYNOMIAL RINGS [J].
SUSLIN, AA .
MATHEMATICS OF THE USSR-IZVESTIYA, 1977, 11 (02) :221-238
[8]  
VASERSTEIN L, IN PRESS J PURE APPL
[9]  
Vaserstein L. N., 1970, MATH USSR SB, V10, P307