Results 81 to 90 of about 34,345 (209)

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

Remarks on some infinitesimal symmetries of Khovanov–Rozansky homologies in finite characteristic

Bulletin of the London Mathematical Society, Volume 57, Issue 11, Page 3597-3613, November 2025.
Abstract We give a new proof of a theorem due to Shumakovitch and Wang on base point independence of Khovanov–Rozansky homology in characteristic p$p$. Some further symmetries of gl(p)$\mathfrak {gl}(p)$‐homology in characteristic p$p$ are also discussed.
You Qi, Louis‐Hadrien Robert, Joshua Sussan, Emmanuel Wagner   +3 more
wiley   +1 more source

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 ...
Drensky, Vesselin, Piacentini Cattaneo, Giulia Maria   +1 more
openaire   +1 more source

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

From Quantum AN to E8 Trigonometric Model: Space-of-Orbits View

Symmetry, Integrability and Geometry: Methods and Applications, 2013
A number of affine-Weyl-invariant integrable and exactly-solvable quantum models with trigonometric potentials is considered in the space of invariants (the space of orbits).
Alexander V. Turbiner
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 Enveloping Algebras of Braided m-Lie Algebras

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