Central Extensions of Root Graded Lie Algebras

Malihe Yousofzadeh

Type: Article

Publication Date: 2013-12-04

Citations: 1

DOI: https://doi.org/10.4171/prims/120

View Publication

Download PDF

Abstract

We study central extensions of Lie algebras graded by an irreducible locally finite root system.

Locations

Publications of the Research Institute for Mathematical Sciences - View - PDF
arXiv (Cornell University) - View - PDF

Similar Works

Action	Title	Year	Authors
+	Central Extensions of Root Graded Lie Algebras	2011	Malihe Yousofzadeh
+	Central Extensions of Root Graded Lie Algebras	2011	Malihe Yousofzadeh
+	Central extensions of Lie algebras graded by finite root systems	2000	Bruce Allison Georgia Benkart Yun Gao
+	Structure of root graded Lie algebras	2011	Malihe Yousofzadeh
+	Root Graded Lie Superalgebras	2015	Malihe Yousofzadeh
+	Central extension of graded Lie algebras	2010	Angelika Welte
+	Central extension of graded Lie algebras	2010	Angelika Welte
+	Lie Algebras Graded by Root Systems	1994	Georgia Benkart Efim Zelmanov
+	Derivations and central extensions of finitely generated graded Lie algebras	1988	Rolf Farnsteiner
+	Lie algebras graded by the root system .	2003	Georgia Benkart Oleg N. Smirnov
+	Locally finite Lie algebras with root decomposition	2003	Ivan Penkov Helmut Strade
+	Central extensions of infinite-dimensional Lie algebras	1992	Askar Dzhumadil’daev
+	Lie Algebras and Root Systems	1995	R. W. Carter
+	The Core of an Extended Affine Lie Superalgebra (A Characterization)	2018	Rasul Aramian Malihe Yousofzadeh
+	Root graded Lie superalgebras which appear as the centerless cores of extended affine Lie superalgebras	2015	Malihe Yousofzadeh
+	Fixed point subalgebras of root graded Lie algebras	2009	Malihe Yousofzadeh
+	The centroid of extended affine and root graded Lie algebras	2005	Georgia Benkart Erhard Neher
+	The centroid of extended affine and root graded Lie algebras	2005	Georgia Benkart Erhard Neher
+	Generalized root graded Lie algebras	2018	Hogar M. Yaseen
+	Central extensions of graded Lie algebras	2009	Angelika Welte

Works That Cite This (1)

Action	Title	Year	Authors
+	Direct Unions of Lie Tori (Realization of Locally Extended Affine Lie Algebras)	2016	Saeid Azam Gholamreza Behboodi Malihe Yousofzadeh

Works Cited by This (13)

Action	Title	Year	Authors
+	Rational methods in Lie algebras	1976	George B. Seligman
+	Structure of root graded Lie algebras	2011	Malihe Yousofzadeh
+ PDF Chat	A Finite Presentation of Universal Coverings of Lie Tori	2010	Saeid Azam Hiroyuki Yamane Malihe Yousofzadeh
+	Central extensions of Lie algebras graded by finite root systems	2000	Bruce Allison Georgia Benkart Yun Gao
+	The root system and the core of an extended affine Lie algebra	2001	Bruce Allison Yun Gao
+ PDF Chat	Lie Tori—A Simple Characterization of Extended Aﬃne Lie Algebras	2006	Yōji Yoshii
+	Lie algebras graded by finite root systems and the intersection matrix algebras of Slodowy	1992	Stephen Berman Robert V. Moody
+ PDF Chat	Extended affine Lie algebras and their root systems	1997	Bruce Allison Saeid Azam Stephen Berman Yun Gao Arturo Pianzola
+	Lie algebras graded by finite root systems and intersection matrix algebras	1996	Georgia Benkart Efim Zelmanov
+	Central extensions of graded Lie algebras	2009	Angelika Welte