On the Multiplier of Filiform Filippov Algebras

被引：0

作者：

Darabi, Hamid ^{[1
]}

Eshrati, Mehdi ^{[1
]}

Jabbar Nezhad, Babak

机构：

[1] Esfarayen Univ Technol, Dept Math, Esfarayen, Iran

来源：

RESULTS IN MATHEMATICS | 2021年 / 76卷 / 04期

关键词：

filiform n-Lie algebra; nilpotent n-Lie algebra; multiplier; NILPOTENT LIE-ALGEBRAS; SCHUR MULTIPLIERS;

D O I：

10.1007/s00025-021-01498-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Suppose A is a finite dimensional filiform Filippov algebra. Given the dimension of Schur multiplier of filiform Filippov algebras A (dimM( A)), one associates a non-negative integer t(A) to such an A. In the first part of this paper, we classify all filiform Filippov alegbras A for 0 <= t(A) <= 23. Also, it is known that the dimension of Schur multiplier of the filiform Filippov algebra A is bounded by dim A(2) (n - 1). In the second part of this paper, we give the structure of all filiform Filippov algebras A when dimM( A) = dimA(2)(n- 1). Finally, we show that all of these filiform Filippov algebras are capable.

引用

页数：9

共 17 条

[1]

[Anonymous], 2017, BIOCHEMISTRY-US

[2] On characterizing nilpotent Lie algebras by their multipliers [J].