Results 71 to 80 of about 16,231 (186)

Poncelet curves

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 105, Issue 10, October 2025.
Abstract We examine pairs of closed plane curves that have the same closing property as two conic sections in Poncelet's porism. We show how the vertex curve can be computed for a given envelope and vice versa. Our formulas are universal in the sense that they produce all possible sufficiently regular pairs of such Poncelet curves. We arrive at similar
Norbert Hungerbühler, Micha Wasem
wiley   +1 more source

Tau-functions beyond the group elements

Nuclear Physics B
Matrix elements in different representations are connected by quadratic relations. If matrix elements are those of a group element, i.e. satisfying the property Δ(X)=X⊗X, then their generating functions obey bilinear Hirota equations and hence are named ...
A. Mironov, V. Mishnyakov, A. Morozov
doaj   +1 more source

Universal enveloping algebras and universal derivations of Poisson algebras

Journal of Algebra, 2012
20 ...
openaire   +3 more sources

Convolution equation and operators on the euclidean motion group

Journal of Nigerian Society of Physical Sciences
Let $G = \mathbb{R}^2\rtimes SO(2)$  be the Euclidean motion group, let g be the Lie algebra of G and let U(g) be the universal enveloping algebra of g.
U. N. Bassey, U. E. Edeke
doaj   +1 more source

Universal Enveloping Algebras of Weighted Differential Poisson Algebras

The $λ$-differential operators and modified $λ$-differential operators are generalizations of classical differential operators. This paper introduces the notions of $λ$-differential Poisson ($λ$-DP for short) algebras and modified $λ$-differential Poisson ($λ$-mDP for short) algebras as generalizations of differential Poisson algebras.
Chen, Ying, Kang, Chuangchuang, Lü, Jiafeng   +2 more
openaire   +2 more sources

On Lie algebras having a primitive universal enveloping algebra

Journal of Algebra, 1974
In his book “Structure of Rings” [7, p. 231 Professor Jacobson raised the following open question: “What are the conditions on a finite dimensional Lie algebra L over a field K that insure that its universal enveloping algebra U(L) is primitive ?” [Since U(L) h as an anti-automorphism the notions left and right primitive are the same for U(L).] If R is
openaire   +2 more sources

Finite Dimensional Hopf Algebras Arising From Quantized Universal Enveloping Algebras [PDF]

Journal of the American Mathematical Society, 1990
0.1. An important role in the theory of modular representations is played by certain finite dimensional Hopf algebras u over Fp (the field with p elements, p = prime). Originally, u was defined (Curtis [3]) as the restricted enveloping algebra of a "simple" Lie algebra over Fp For our purposes, it will be more convenient to define u as follows.
openaire   +1 more source

Universal enveloping Hom-algebras of regular Hom-Poisson algebras

AIMS Mathematics, 2022
<abstract><p>In this paper, we introduce universal enveloping Hom-algebras of Hom-Poisson algebras. Some properties of universal enveloping Hom-algebras of regular Hom-Poisson algebras are discussed. Furthermore, in the involutive case, it is proved that the category of involutive Hom-Poisson modules over an involutive Hom-Poisson algebra $
openaire   +2 more sources

Universal Algebra of a Hom-Lie Algebra and group-like elements

, 2015
We construct the universal enveloping algebra of a Hom-Lie algebra and endow it with a Hom-Hopf algebra structure.
Laurent-Gengoux, Camille, Makhlouf, Abdenacer, Teles, Joana   +2 more
core  

Universal Enveloping Algebras of Braided m-Lie Algebras

, 2010
9pages
Guo, Lingwei, Zhang, Shouchuan, He, Jieqiong   +2 more
openaire   +2 more sources