On the triple tensor product of nilpotent Lie algebras

被引：0

作者：

Shamsaki, Afsaneh ^{[1
]}

Niroomand, Peyman ^{[1
]}

机构：

[1] Damghan Univ, Sch Math & Comp Sci, Damghan, Iran

来源：

LINEAR & MULTILINEAR ALGEBRA | 2022年 / 70卷 / 20期

关键词：

Schur multiplier; nilpotent Lie algebra; capable Lie algebra; triple tensor product; SCHUR MULTIPLIER; DIMENSION;

D O I：

10.1080/03081087.2021.1932711

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we give the explicit structure of circle times H-3 and lambda H-3 where H is a generalized Heisenberg Lie algebra of rank at most 2. Moreover, for a non-abelian nilpotent Lie algebra L, we obtain an upper bound for the dimension of circle times L-3.

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页码：5879 / 5887

页数：9

相关论文

共 13 条

[1] On covers of Lie algebras [J].

Batten, P ;

Stitzinger, E .

COMMUNICATIONS IN ALGEBRA, 1996, 24 (14) :4301-4317

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

Batten, P ;

Moneyhun, K ;

Stitzinger, E .

COMMUNICATIONS IN ALGEBRA, 1996, 24 (14) :4319-4330

[3] Classification of 6-dimensional nilpotent Lie algebras over fields of characteristic not 2 [J].

de Graaf, Willem A. .

JOURNAL OF ALGEBRA, 2007, 309 (02) :640-653

[4] A NON-ABELIAN TENSOR PRODUCT OF LIE-ALGEBRAS [J].

ELLIS, GJ .

GLASGOW MATHEMATICAL JOURNAL, 1991, 33 :101-120

[5] Certain functors of nilpotent Lie algebras with the derived subalgebra of dimension two [J].

Johari, Farangis ;

Niroomand, Peyman .

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2020, 19 (01)

[6] Capability and Schur multiplier of a pair of Lie algebras [J].

Johari, Farangis ;

Parvizi, Mohsen ;

Niroomand, Peyman .

JOURNAL OF GEOMETRY AND PHYSICS, 2017, 114 :184-196

[7]

Moneyhun K., 1994, Algebras Groups Geom., V11, P9

[8] Capable Lie algebras with the derived subalgebra of dimension 2 over an arbitrary field [J].

Niroomand, Peyman ;

Johari, Farangis ;

Parvizi, Mohsen .

LINEAR & MULTILINEAR ALGEBRA, 2019, 67 (03) :542-554

[9] Some criteria for detecting capable Lie algebras [J].

Niroomand, Peyman ;

Parvizi, Mohsen ;

Russo, Francesco G. .

JOURNAL OF ALGEBRA, 2013, 384 :36-44

[10] SOME PROPERTIES ON THE TENSOR SQUARE OF LIE ALGEBRAS [J].

Niroomand, Peyman .

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2012, 11 (05)