Results 21 to 30 of about 14,501 (209)
Universal Enveloping Algebras of $A_infty$-Algebras
This paper explores the construction and properties of universal enveloping algebras in the context of $A_infty$-algebras. $A_infty$-algebras, also known as strongly homotopy associative algebras, generalize associative algebras by relaxing the associativity condition up to a coherent system of higher homotopies. These structures play a crucial role in
SÉRGIO DE ANDRADE, PAULO
openalex +3 more sources
On the universal enveloping algebra of a Lie-Rinehart algebra [PDF]
, 2008 We review the extent to which the universal enveloping algebra of a Lie-Rinehart algebra resembles a Hopf algebra, and refer to this structure as a Rinehart bialgebra. We then prove a Cartier-Milnor-Moore type theorem for such Rinehart bialgebras.
Ieke Moerdijk, Mrcun, J.
openalex +4 more sources
Universal Enveloping Algebras of Poisson Superalgebras
Algebras and Representation TheoryAbstract In this paper, we define and study the universal enveloping algebra of a Poisson superalgebra. In particular, a new PBW Theorem for Lie-Rinehart superalgebras is proved leading to a PBW Theorem for Poisson superalgebras, we show the universal enveloping algebra of a Poisson Hopf superalgebra (resp.
Thomas D Lamkin
exaly +3 more sources
Invariants of universal enveloping algebras of relatively free lie algebras
Journal of Algebra, 2000 Let \(F_m(\mathfrak M)\) be the relatively free algebra of rank \(m\geq 2\) in the nonlocally nilpotent variety \(\mathfrak M\) of Lie algebras over an infinite field of any characteristic. The authors study the problem of finite generation of the algebra of invariants of a cyclic linear group \(G=\langle g\rangle\) of finite order invertible in the ...
Vesselin Drensky
exaly +2 more sources
A Natural Extension of the Universal Enveloping Algebra Functor to Crossed Modules of Leibniz Algebras [PDF]
Applied Categorical Structures, 2016 Xabier García-Martínez, Manuel Ladra
exaly +3 more sources
Hopf algebras and universal enveloping algebras
, 2008 Bangming Deng +3 more
openalex +2 more sources
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 In recent years there has been a great interest in the study of Zinbiel (dual Leibniz) algebras. Let A be Zinbiel algebra over an arbitrary field K and let e1,e2,...,em,... be a linear basis of A. In 2010 A.
D.M. Zhangazinova, A.S. Naurazbekova
doaj +1 more source
BERGMAN under MS-DOS and Anick's resolution [PDF]
Discrete Mathematics & Theoretical Computer Science, 1997 Noncommutative algebras, defined by the generators and relations, are considered. The definition and main results connected with the Gröbner basis, Hilbert series and Anicks resolution are formulated.
V. Ufnarovski, S. Cojocaru
doaj +2 more sources
The universal enveloping algebra of the Witt algebra is not noetherian [PDF]
Advances in Mathematics, 2014 This work is prompted by the long standing question of whether it is possible for the universal enveloping algebra of an infinite dimensional Lie algebra to be noetherian. To address this problem, we answer a 23-year-old question of Carolyn Dean and Lance Small; namely, we prove that the universal enveloping algebra of the Witt (or centerless Virasoro)
Sierra, Susan, Walton, Chelsea
openaire +3 more sources
Bulletin of Mathematical Sciences, 2023 Perfect C∗-algebras were introduced by Akeman and Shultz in [Perfect C*-algebras, Mem. Amer. Math. Soc. 55(326) (1985)] and they form a certain subclass of C*-algebras determined by their pure states, and for which the general Stone–Weierstrass ...
Fatmah B. Jamjoom
doaj +1 more source