scholarly journals The universal enveloping algebra of the Witt algebra is not noetherian

2014 ◽  
Vol 262 ◽  
pp. 239-260 ◽  
Author(s):  
Susan J. Sierra ◽  
Chelsea Walton
Keyword(s):  
Universal Enveloping Algebra ◽  
Witt Algebra ◽  
Enveloping Algebra

scholarly journals DG Poisson algebra and its universal enveloping algebra

2016 ◽  
Vol 59 (5) ◽  
pp. 849-860 ◽  
Author(s):  
JiaFeng Lü ◽  
XingTing Wang ◽  
GuangBin Zhuang
Keyword(s):  
Poisson Algebra ◽  
Universal Enveloping Algebra ◽  
Enveloping Algebra

scholarly journals ELEMENTARY INVARIANTS FOR CENTRALIZERS OF NILPOTENT MATRICES

2009 ◽  
Vol 86 (1) ◽  
pp. 1-15 ◽  
Author(s):  
JONATHAN BROWN ◽  
JONATHAN BRUNDAN
Keyword(s):  
Lie Algebra ◽  
Characteristic Zero ◽  
Universal Enveloping Algebra ◽  
General Linear ◽  
Enveloping Algebra ◽  
Nilpotent Matrix ◽  
Nilpotent Matrices ◽  
Algebra Over A Field

AbstractWe construct an explicit set of algebraically independent generators for the center of the universal enveloping algebra of the centralizer of a nilpotent matrix in the general linear Lie algebra over a field of characteristic zero. In particular, this gives a new proof of the freeness of the center, a result first proved by Panyushev, Premet and Yakimova.

scholarly journals Ideals in the Enveloping Algebra of the Positive Witt Algebra

2019 ◽  
Vol 23 (4) ◽  
pp. 1569-1599
Author(s):  
Alexey V. Petukhov ◽  
Susan J. Sierra
Keyword(s):  
Witt Algebra ◽  
Enveloping Algebra
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