Results 111 to 120 of about 72,094 (282)
Wakimoto Modules for Twisted Affine Lie Algebras [PDF]
Mathematical Research Letters, 2002 We construct Wakimoto modules for twisted affine Lie algebras, and interpret the construction in terms of vertex algebras and their twisted modules. Using the Wakimoto realization, we prove the Kac-Kazhdan conjecture on the characters of irreducible modules with generic critical highest weights in the twisted case.
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IET Signal Processing, Volume 2026, Issue 1, 2026.Formation control of multi‐autonomous underwater vehicle (AUV) systems is essential for collaborative ocean tasks such as environmental monitoring and resource exploration, but it is hindered by challenges like limited flexibility in formation transformation, model uncertainties, and unknown ocean current disturbances.
Fan Luan +3 more
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Large‐Amplitude Periodic Solutions to the Steady Euler Equations With Piecewise Constant Vorticity
Studies in Applied Mathematics, Volume 156, Issue 1, January 2026.ABSTRACT We consider steady solutions to the incompressible Euler equations in a two‐dimensional channel with rigid walls. The flow consists of two periodic layers of constant vorticity separated by an unknown interface. Using global bifurcation theory, we rigorously construct curves of solutions that terminate either with stagnation on the interface ...
Alex Doak +3 more
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Plank theorems and their applications: A survey
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract Plank problems concern the covering of convex bodies by planks in Euclidean space and are related to famous open problems in convex geometry. In this survey, we introduce plank problems and present surprising applications of plank theorems in various areas of mathematics.
William Verreault
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Time optimal problems on Lie groups and applications to quantum control
Communications in Analysis and MechanicsIn this paper we introduce a natural compactification of a left (right) invariant affine control system on a semi-simple Lie group $ G $ in which the control functions belong to the Lie algebra of a compact Lie subgroup $ K $ of $ G $ and we investigate ...
Velimir Jurdjevic
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Local charges in involution and hierarchies in integrable sigma-models
Journal of High Energy Physics, 2017 Integrable σ-models, such as the principal chiral model, ℤ T $$ {\mathbb{Z}}_T $$ -coset models for T ∈ ℤ ≥ 2 $$ T\in {\mathbb{Z}}_{\ge 2} $$ and their various integrable deformations, are examples of non-ultralocal integrable field theories described by
S. Lacroix, M. Magro, B. Vicedo
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Groups Defined by Extended Affine Lie Algebras with Nullity $2$ [PDF]
, 2006 Jun Morita, Hideyuki SAKAGUCHI
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Canonical forms of oriented matroids
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract Positive geometries are semialgebraic sets equipped with a canonical differential form whose residues mirror the boundary structure of the geometry. Every full‐dimensional projective polytope is a positive geometry. Motivated by the canonical forms of polytopes, we construct a canonical form for any tope of an oriented matroid inside the Orlik–
Christopher Eur, Thomas Lam
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Some Combinatorial Coincidences for Standard Representations of Affine Lie Algebras [PDF]
, 2019 Mirko Primc
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Module structure of Weyl algebras
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract The seminal paper (Stafford, J. Lond. Math. Soc. (2) 18 (1978), no. 3, 429–442) was a major step forward in our understanding of Weyl algebras. Beginning with Serre's Theorem on free summands of projective modules and Bass' Stable Range Theorem in commutative algebra, we attempt to trace the origins of this work and explain how it led to ...
Gwyn Bellamy
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