Non-abelian tensor and exterior products of multiplicative Lie rings

被引：7

作者：

Donadze, Guram ^{[1
]}

Inassaridze, Nick ^{[2
,3
,4
]}

Ladra, Manuel ^{[5
]}

机构：

[1] Indian Inst Sci Educ & Res Thiruvananthapuram, Thiruvananthapuram 695016, Kerala, India

[2] Tbilisi State Univ, A Razmadze Math Inst, Tamarashvili Str 6, Tbilisi 0177, Georgia

[3] Georgian Tech Univ, Kostava Str 77, Tbilisi 0175, Georgia

[4] Tbilisi Ctr Math Sci, Tbilisi, Georgia

[5] Univ Santiago de Compostela, IMAT, Dept Algebra, Santiago De Compostela 15782, Spain

来源：

FORUM MATHEMATICUM | 2017年 / 29卷 / 03期

基金：

美国国家科学基金会;

关键词：

Multiplicative lie rings; non-abelian tensor and exterior products; homology; HOMOLOGY;

D O I：

10.1515/forum-2015-0096

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We define a non-abelian tensor product of multiplicative Lie rings. This is a new concept providing a common approach to the non-abelian tensor product of groups defined by Brown and Loday and to the non-abelian tensor product of Lie rings defined by Ellis. We also prove an analogue of Miller's theorem for multiplicative Lie rings.

引用

页码：563 / 574

页数：12

共 16 条

[11] A non-abelian exterior product and homology of Leibniz algebras
Donadze, Guram
Garcia-Martinez, Xabier
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REVISTA MATEMATICA COMPLUTENSE, 2018, 31 (01): : 217 - 236
[12] A non-abelian exterior product and homology of Leibniz algebras
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Xabier García-Martínez
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Revista Matemática Complutense, 2018, 31 : 217 - 236
[13] Non-abelian Quantum Statistics on Graphs
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[14] Low-dimensional non-abelian Leibniz cohomology
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[15] Non-abelian cohomology jump loci from an analytic viewpoint
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COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2014, 16 (04)
[16] A SEIFERT-VAN KAMPEN THEOREM IN NON-ABELIAN ALGEBRA
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HOMOLOGY HOMOTOPY AND APPLICATIONS, 2018, 20 (02) : 79 - 103

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