scholarly journals Universal central extensions of linear groups over rings of non-commutative Laurent polynomials, associated $K_1$-groups and $K_2$-groups

2021 ◽  
Vol 45 (1) ◽  
Author(s):  
Ryusuke Sugawara
Keyword(s):  
Linear Groups ◽  
Laurent Polynomials ◽  
Central Extensions ◽  
Universal Central Extensions

UNIVERSAL CENTRAL EXTENSIONS

1994 ◽  
Vol 06 (02) ◽  
pp. 207-225 ◽  
Author(s):  
M. S. RAGHUNATHAN
Keyword(s):  
General Theory ◽  
Lie Groups ◽  
Abelian Groups ◽  
Central Extensions ◽  
Universal Central Extensions

The following is an account, self-contained and essentially expository, of the general theory of universal central extensions of groups with applications to some important classes of groups: perfect groups, abelian groups and connected Lie groups. The notation is occasionally different from that in the text — this should not cause any confusion.

Supersymmetric invariance and universal central extensions of lie supertriple systems

2014 ◽  
Vol 34 (2) ◽  
pp. 313-330
Author(s):  
Qingcheng ZHANG ◽  
Zhu WEI ◽  
Yingna CHU ◽  
Yongping ZHANG
Keyword(s):  
Central Extensions ◽  
Universal Central Extensions

scholarly journals Universal central extensions of Lie–Rinehart algebras

2018 ◽  
Vol 17 (07) ◽  
pp. 1850134 ◽  
Author(s):  
J. L. Castiglioni ◽  
X. García-Martínez ◽  
M. Ladra
Keyword(s):  
Tensor Product ◽  
Lie Algebras ◽  
Central Extension ◽  
Universal Central Extension ◽  
Central Extensions ◽  
Definition Of ◽  
Universal Central Extensions

In this paper, we study the universal central extension of a Lie–Rinehart algebra and we give a description of it. Then we study the lifting of automorphisms and derivations to central extensions. We also give a definition of a non-abelian tensor product in Lie–Rinehart algebras based on the construction of Ellis of non-abelian tensor product of Lie algebras. We relate this non-abelian tensor product to the universal central extension.

Sign in / Sign up

Export Citation Format

Share Document