A CHARACTERIZATION OF CENTRAL EXTENSIONS IN THE VARIETY OF QUANDLES

被引：0

作者：

Even, Valerian ^{[1
]}

Gran, Marino

Montoli, Andrea

机构：

[1] Catholic Univ Louvain, Inst Rech Math & Phys, Chemin Cyclotron 2, B-1348 Louvain La Neuve, Belgium

来源：

THEORY AND APPLICATIONS OF CATEGORIES | 2016年 / 31卷

关键词：

Quandle; symmetric quandle; abelian object; Mal'tsev variety; central extension; categorical Galois theory; MALTSEV CATEGORIES; UNIVERSAL ALGEBRA;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The category of symmetric quandles is a Mal'tsev variety whose subvariety of abelian symmetric quandles is the category of abelian algebras. We give an algebraic description of the quandle extensions that are central for the adjunction between the variety of quandles and its subvariety of abelian symmetric quandles.

引用

页码：201 / 216

页数：16

共 50 条

[41] Central extensions of reductive groups by K2
Jean-Luc Brylinski
Pierre Deligne
Publications Mathématiques de l'Institut des Hautes Études Scientifiques, 2001, 94 (1): : 5 - 85
[42] Central extensions of the Lie algebra of symplectic vector fields
Vizman, C
JOURNAL OF LIE THEORY, 2006, 16 (02) : 297 - 309
[43] ON ISOMORPHISM CRITERIA FOR LEIBNIZ CENTRAL EXTENSIONS OF A LINEAR DEFORMATION OF μn
Rakhimov, Isamiddin S.
Hassan, Munther A.
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2011, 21 (05) : 715 - 729
[44] Central Extensions of Loop Groups and Obstruction to Pre-Quantization
Krepski, Derek
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2013, 56 (01): : 116 - 126
[45] CENTRAL EXTENSIONS OF ASSOCIATIVE ALGEBRAS AND WEAKLY ACTION REPRESENTABLE CATEGORIES
Janelidze, George
THEORY AND APPLICATIONS OF CATEGORIES, 2022, 38 : 1395 - 1408
[46] The plus construction, Postnikov towers and universal central module extensions
Blanc, D
Peschke, G
ISRAEL JOURNAL OF MATHEMATICS, 2002, 132 (1) : 109 - 123
[47] Lifting of automorphisms and derivations of conformal Lie superalgebras to their central extensions
Mikhalev A.V.
Pinchuk I.A.
Journal of Mathematical Sciences, 2007, 143 (4) : 3333 - 3341
[48] Classification and Central Extensions of a Class of Lie Algebras of Block Type
Xiu HAN
Wei WANG
Chunguang XIA
JournalofMathematicalResearchwithApplications, 2016, 36 (03) : 285 - 290
[49] Central extensions and conformal derivations of a class of Lie conformal algebras
Hong, Yanyong
LINEAR & MULTILINEAR ALGEBRA, 2022, 70 (18) : 3577 - 3598
[50] SUPERSYMMETRIC INVARIANCE AND UNIVERSAL CENTRAL EXTENSIONS OF LIE SUPERTRIPLE SYSTEMS
Zhang, Qingcheng
Wei, Zhu
Chu, Yingna
Zhang, Yongping
ACTA MATHEMATICA SCIENTIA, 2014, 34 (02) : 313 - 330

← 1 2 3 4 5 →