EXISTENCE OF HOLOMORPHIC FUNCTIONS ON NILPOTENT LIE GROUPS

被引：0

作者：

Mushkarov, Oleg ^{[1
]}

Yankov, Christian ^{[2
]}

机构：

[1] Bulgarian Acad Sci, Inst Math & Informat, BU-1113 Sofia, Bulgaria

[2] Eastern Connecticut State Univ, Dept Math & Comp Sci, Willimantic, CT 06226 USA

来源：

COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES | 2014年 / 67卷 / 09期

关键词：

almost complex manifolds; holomorphic functions; nilpotent Lie groups; SYMPLECTIC-MANIFOLDS; ALGEBRAS;

D O I：

暂无

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We classify real 4 and 6-dimensional nilpotent Lie algebras for which every left-invariant almost complex structure on the corresponding Lie group has non-constant local holomorphic functions. We also obtain a simple algebraic characterization of 2-step nilpotent Lie algebras with the same property.

引用

页码：1187 / 1192

页数：6

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