universal central extensions
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Finite presentability of universal central extensions of sln, II

2021 ◽  
Vol 573 ◽  
pp. 169-176
Author(s):  
Zezhou Zhang
Keyword(s):  
Central Extensions ◽  
Finite Presentability ◽  
Universal Central Extensions

scholarly journals Deformed higher rank Heisenberg-Virasoro algebras

2021 ◽  
pp. 1-17
Author(s):  
Chengkang Xu
Keyword(s):  
Central Extensions ◽  
Isomorphism Classes ◽  
Infinitesimal Deformations ◽  
Higher Rank ◽  
Universal Central Extensions

In this paper, we study a class of infinitesimal deformations of the centerless higher rank Heisenberg–Virasoro algebras. Explicitly, the universal central extensions, derivations and isomorphism classes of these algebras are determined.

Finite presentability of universal central extensions of sln(R)

2021 ◽  
Vol 567 ◽  
pp. 11-36
Author(s):  
Efim Zelmanov ◽  
Zezhou Zhang
Keyword(s):  
Central Extensions ◽  
Finite Presentability ◽  
Universal Central Extensions

scholarly journals Universal central extensions and non-abelian tensor product of hom-Lie–Rinehart algebras

2021 ◽  
Author(s):  
Ashis Mandal ◽  
Satyendra Kumar Mishra
Keyword(s):  
Tensor Product ◽  
Central Extensions ◽  
Universal Central Extensions

scholarly journals Universal central extensions of superalgebras with bracket

2020 ◽  
Vol 1560 ◽  
pp. 012014
Author(s):  
I A Pinchuk
Keyword(s):  
Central Extensions ◽  
Universal Central Extensions

Universal central extensions of current Lie superalgebras

2020 ◽  
Vol 224 (4) ◽  
pp. 106205 ◽  
Author(s):  
Karl-Hermann Neeb ◽  
Malihe Yousofzadeh
Keyword(s):  
Lie Superalgebras ◽  
Central Extensions ◽  
Universal Central Extensions

Lie triple systems and Leibniz algebras

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Revaz Kurdiani
Keyword(s):  
Lie Algebra ◽  
Central Extension ◽  
Triple System ◽  
Leibniz Algebra ◽  
Universal Central Extension ◽  
Central Extensions ◽  
Lie Triple System ◽  
Triple Systems ◽  
Leibniz Algebras ◽  
Universal Central Extensions

AbstractThe present paper deals with the Lie triple systems via Leibniz algebras. A perfect Lie algebra as a perfect Leibniz algebra and as a perfect Lie triple system is considered and the appropriate universal central extensions are studied. Using properties of Leibniz algebras, it is shown that the Lie triple system universal central extension is either the universal central extension of the Leibniz algebra or the universal central extension of the Lie algebra.

scholarly journals Universal Central Extensions of Internal Crossed Modules via the Non-abelian Tensor Product

2020 ◽  
Vol 28 (5) ◽  
pp. 717-748
Author(s):  
Davide di Micco ◽  
Tim Van der Linden
Keyword(s):  
Tensor Product ◽  
Central Extensions ◽  
Crossed Modules ◽  
Universal Central Extensions

On stem covers and the universal central extensions of Lie crossed modules

2019 ◽  
Vol 47 (7) ◽  
pp. 2855-2869 ◽  
Author(s):  
Hajar Ravanbod ◽  
Ali Reza Salemkar
Keyword(s):  
Central Extensions ◽  
Crossed Modules ◽  
Universal Central Extensions
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