On Prime Z-graded Lie algebras of growth one

被引：0

作者：

Martínez, C ^{[1
]}

机构：

[1] Univ Oviedo, Dept Matemat, Oviedo 33007, Spain

来源：

JOURNAL OF LIE THEORY | 2005年 / 15卷 / 02期

关键词：

Z-graded Lie algebra; strongly P1; prime; nondegenerate; Virasoro algebra; loop algebra; growth; Jordan pair;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We will give the structure of Z-graded prime nondegenerate algebras L = Sigma(i is an element of Z) L-i containing the Virasoro algebra and having the dimensions of the homogeneous components, dim L-i, uniformely bounded.

引用

页码：505 / 520

页数：16

共 20 条

[1]

Humphreys J. E., 1970, INTRO LIE ALGEBRAS R, P9

[2]

Jacobson N., 1979, Lie algebras

[3]

Kac V. G., 1968, Math. USSR Izv., V2, P1271, DOI 10.1070/IM1968v002n06ABEH000729

[4]

KAC VG, 1989, STRINGS, V88, P77

[5]

KAC VG, 2001, MEMOIRS AM MATH SOC, V150

[6]

Kostrikin A. I., 1959, Izv. Akad. Nauk SSSR Ser. Mat., V23, P3

[7]

Loos O., 1975, Lect. Notes. in Math, V460

[8] Simple and prime graded Jordan algebras [J].

Martinez, C ;

Zelmanov, E .

JOURNAL OF ALGEBRA, 1997, 194 (02) :594-613

[9] Jordan algebras of Gelfand-Kirillov dimension one [J].

Martinez, C ;

Zelmanov, E .

JOURNAL OF ALGEBRA, 1996, 180 (01) :211-238

[10] Gelfand-Kirillov dimension in Jordan algebras [J].

Martinez, C .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1996, 348 (01) :119-126

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