Results 81 to 90 of about 297,060 (285)
The magic renormalisability of affine Gaudin models
Journal of High Energy Physics, 2023 We study the renormalisation of a large class of integrable σ-models obtained in the framework of affine Gaudin models. They are characterised by a simple Lie algebra g $$ \mathfrak{g} $$ and a rational twist function φ(z) with simple zeros, a double ...
Falk Hassler +2 more
doaj +1 more source
Remarks on τ$\tau$‐tilted versions of the second Brauer–Thrall conjecture
Bulletin of the London Mathematical Society, EarlyView.Abstract In this short note, we state a stable and a τ$\tau$‐reduced version of the second Brauer–Thrall conjecture. The former is a slight strengthening of a brick version of the second Brauer–Thrall conjecture raised by Mousavand and Schroll–Treffinger–Valdivieso.
Calvin Pfeifer
wiley +1 more source
Automorphisms of the Lie algebra of vector fields on affine n-space [PDF]
, 2014 We show that every Lie algebra automorphisms of the vector fields $Vec(A^n)$ of affine n-space $A^n$, of the vector fields $Vec^c(A^n)$ with constant divergence, and of the vector fields $Vec^0(A^n)$ with divergence zero is induced by an automorphism of $
H. Kraft, A. Regeta
semanticscholar +1 more source
Extended Affine Lie Superalgebras [PDF]
arXiv, 2013 We introduce the notion of extended affine Lie superalgebras and investigate the properties of their root systems. Extended affine Lie algebras, invariant affine reflection algebras, finite dimensional basic classical simple Lie superalgebras and affine Lie superalgebras are examples of extended affine Lie superalgebras.
arxiv
The birational geometry of GIT quotients
Bulletin of the London Mathematical Society, EarlyView.Abstract Geometric invariant theory (GIT) produces quotients of algebraic varieties by reductive groups. If the variety is projective, this quotient depends on a choice of polarisation; by work of Dolgachev–Hu and Thaddeus, it is known that two quotients of the same variety using different polarisations are related by birational transformations.
Ruadhaí Dervan, Rémi Reboulet
wiley +1 more source
Equivalence of Control Systems on the Pseudo-Orthogonal Group SO (2, 1)0
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 We consider left-invariant control affine systems on the matrix Lie group SO (2, 1)0. A classification, under state space equivalence, of all such full-rank control systems is obtained. First, we identify certain subsets on which the group of Lie algebra
Biggs Rory, Remsing Claudiu C.
doaj +1 more source
Locally loop algebras and locally affine Lie algebras [PDF]
arXiv, 2012 We investigate a new class of Lie algebras, which are tame locally extended affine Lie algebras of nullity 1. It is an infinite-rank analog of affine Lie algebras, and their centerless cores are a local version of loop algebras. Such algebras are called locally affine Lie algebras and locally loop algebras. We classify both of them.
arxiv
A Multi‐Fidelity Model for Wave Energy Converters
International Journal for Numerical Methods in Fluids, Volume 97, Issue 4, Page 427-445, April 2025.Implementation of a multi‐fidelity model for simulations of floating bodies in bi‐fluid flows. Integration of Computational Fluid Dynamics with a Reduced Order Model based on Proper Orthogonal Decomposition. Validation of the multi‐fidelity model through out‐of‐sample simulations of a wave energy converter interacting with incoming waves.
Beatrice Battisti +2 more
wiley +1 more source
Affine actions on Lie groups and post-Lie algebra structures [PDF]
Linear Algebra and its Applications, 2012 We introduce post-Lie algebra structures on pairs of Lie algebras $(\Lg,\Ln)$ defined on a fixed vector space $V$. Special cases are LR-structures and pre-Lie algebra structures on Lie algebras. We show that post-Lie algebra structures naturally arise in the study of NIL-affine actions on nilpotent Lie groups. We obtain several results on the existence
Dietrich Burde +2 more
openaire +4 more sources
Negative flows of generalized KdV and mKdV hierarchies and their gauge-Miura transformations
Journal of High Energy Physics, 2023 The KdV hierarchy is a paradigmatic example of the rich mathematical structure underlying integrable systems and has far-reaching connections in several areas of theoretical physics.
Ysla F. Adans +4 more
doaj +1 more source