Results 61 to 70 of about 27,600 (150)
Ewald's Conjecture and integer points in algebraic and symplectic toric geometry
Proceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.Abstract We solve several open problems concerning integer points of reflexive smooth polytopes, also known as monotone polytopes. While the paper belongs to the realm of discrete geometry, the connection with symplectic and algebraic geometry appears naturally since these polytopes have an important role in both areas.
Luis Crespo +2 more
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Graph potentials and topological quantum field theories
Proceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.Abstract We introduce a new functional equation in birational geometry, whose solutions can be used to construct two‐dimensional topological quantum field theories (2d TQFTs), infinite‐dimensional in many interesting examples. The solutions of the equation give rise to a hierarchy of graph potentials, which, in the simplest setup, are Laurent ...
Pieter Belmans +2 more
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C∞‐Structures for Liénard Equations and New Exact Solutions to a Class of Klein–Gordon Equations
Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 2795-2822, 15 March 2026.ABSTRACT Liénard equations are analyzed using the recent theory of 𝒞∞‐structures. For each Liénard equation, a 𝒞∞‐structure is determined by using a Lie point symmetry and a 𝒞∞‐symmetry. Based on this approach, a novel method for integrating these equations is proposed, which consists in solving sequentially two completely integrable Pfaffian equations.
Beltrán de la Flor +2 more
wiley +1 more source
On systems of commuting matrices, Frobenius Lie algebras and Gerstenhaber's Theorem
, 2020 This new version V2, 37 pages in Latex, contains substantial deep changes compared to version 1 which was only 12 pages. In particular, the present version includes deep discussions on the classification of 2-step solvable Frobenius Lie algebras and maximal Abelian subalgebras of sl(n,K)
Diatta, Andre +2 more
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Classification of Frobenius, two-step solvable Lie poset algebras
, 2020 We show that the isomorphism class of a two-step solvable Lie poset subalgebra of a semisimple Lie algebra is determined by its dimension. We further establish that all such algebras are absolutely rigid.
Coll, Vincent +2 more
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QUASI FROBENIUS LIE ALGEBRAS CONSTRUCTION OF N=4 SUPERCONFORMAL FIELD THEORIES [PDF]
Modern Physics Letters A, 1996 The Manin triples construction of N =4 superconformal field theories is considered. A correspondence between quasi Frobenius finite-dimensional Lie algebras and N =4 Virasoro superalgebras is established.
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q-Krawtchouk polynomials as spherical functions on the Hecke algebra of type B
, 1996 The generic Hecke algebra for the hyperoctahedral group, i.e. the Weyl group of type B, contains the generic Hecke algebra for the symmetric group, i.e. the Weyl group of type A, as a subalgebra.
Koelink, H. T.
core +1 more source
Frobenius structures and characters of affine Lie algebras
, 2017 35 pages. In this revision, Proposition 5.4 in the previous version is divided into 4 Propositions (from Proposition 5.4 to Proposition 5.7).
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Lie invariant Frobenius lifts on linear algebraic groups
, 2018 We show that if $G$ is a linear algebraic group over a number field and if $G$ is not a torus then for all but finitely many primes $p$ the $p$-adic completion of $G$ does not possess a Frobenius lift that is "Lie invariant mod $p$" (in the sense of \cite{alie1}). This is in contrast with the situation of elliptic curves studied in \cite{alie1}.
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Rational solutions of the classical Yang-Baxter equation and quasi Frobenius Lie algebras
Journal of Pure and Applied Algebra, 1999 Classifying rational solutions of the classical Yang-Baxter equation by integers \(k\), the author first interprets a result of \textit{A. Belavin} and \textit{V. Drinfeld} [Funct. Anal. Appl. 16, 159--180 (1983); translation from Funkts. Anal. Prilozh. 16, No.
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