Results 111 to 120 of about 363,006 (296)
Quantum Integrable Model of an Arrangement of Hyperplanes
Symmetry, Integrability and Geometry: Methods and Applications, 2011 The goal of this paper is to give a geometric construction of the Bethe algebra (of Hamiltonians) of a Gaudin model associated to a simple Lie algebra.
Alexander Varchenko
doaj +1 more source
Multiloop algebras, iterated loop algebras and extended affine Lie algebras of nullity 2 [PDF]
arXiv, 2010 Let M_n be the class of all multiloop algebras of finite dimensional simple Lie algebras relative to n-tuples of commuting finite order automorphisms. It is a classical result that M_1 is the class of all derived algebras modulo their centres of affine Kac-Moody Lie algebras.
arxiv
Remarks on τ$\tau$‐tilted versions of the second Brauer–Thrall conjecture
Bulletin of the London Mathematical Society, Volume 57, Issue 5, Page 1568-1583, May 2025.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
Staggered and affine Kac modules over A1(1)
Nuclear Physics B, 2020 This work concerns the representation theory of the affine Lie algebra A1(1) at fractional level and its links to the representation theory of the Virasoro algebra.
Jørgen Rasmussen
doaj
Advances in Mathematical Physics, 2013 The extended symmetry of the functional of length determined in an affine space K3 of the correlation vectors for homogeneous isotropic turbulence is studied.
V. N. Grebenev +2 more
doaj +1 more source
Derivation double Lie algebras [PDF]
arXiv, 2014 We study classical R-matrices D for Lie algebras L such that D is also a derivation of L. This yields derivation double Lie algebras (L,D). The motivation comes from recent work on post-Lie algebra structures on pairs of Lie algebras arising in the study of nil-affine actions of Lie groups. We prove that there are no nontrivial simple derivation double
arxiv
Higher genus affine algebras of Krichever - Novikov type [PDF]
, 2002 For higher genus multi-point current algebras of Krichever-Novikov type associated to a finite-dimensional Lie algebra, local Lie algebra two-cocycles are studied. They yield as central extensions almost-graded higher genus affine Lie algebras.
Schlichenmaier, Martin
core +2 more sources
The Branching Rules for Affine Lie Algebras
Advances in Mathematics, 1994 Peer Reviewed ; http://deepblue.lib.umich.edu/bitstream/2027.42/31650/1/0000584 ...
openaire +3 more sources
Generic root counts and flatness in tropical geometry
Journal of the London Mathematical Society, Volume 111, Issue 5, May 2025.Abstract We use tropical and nonarchimedean geometry to study the generic number of solutions of families of polynomial equations over a parameter space Y$Y$. In particular, we are interested in the choices of parameters for which the generic root count is attained.
Paul Alexander Helminck, Yue Ren
wiley +1 more source
Integrable boundary conditions in the antiferromagnetic Potts model
Journal of High Energy Physics, 2020 We present an exact mapping between the staggered six-vertex model and an integrable model constructed from the twisted affine D 2 2 $$ {D}_2^2 $$ Lie algebra.
Niall F. Robertson +3 more
doaj +1 more source