Results 71 to 80 of about 16,242 (186)

Existence and orthogonality of stable envelopes for bow varieties

Bulletin of the London Mathematical Society, Volume 57, Issue 11, Page 3249-3306, November 2025.
Abstract Stable envelopes, introduced by Maulik and Okounkov, provide a family of bases for the equivariant cohomology of symplectic resolutions. They are part of a fascinating interplay between geometry, combinatorics and integrable systems. In this expository article, we give a self‐contained introduction to cohomological stable envelopes of type A$A$
Catharina Stroppel, Till Wehrhan
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 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 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

Convolutions for orthogonal polynomials from Lie and quantum algebra representations

, 1996
The interpretation of the Meixner-Pollaczek, Meixner and Laguerre polynomials as overlap coefficients in the positive discrete series representations of the Lie algebra su(1,1) and the Clebsch-Gordan decomposition leads to generalisations of the ...
Koelink, H. T., Van der Jeugt, J.
core   +1 more source