Results 101 to 110 of about 297,060 (285)
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
Arithmetic Satake compactifications and algebraic Drinfeld modular forms
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract In this article, we construct the arithmetic Satake compactification of the Drinfeld moduli schemes of arbitrary rank over the ring of integers of any global function field away from the level structure, and show that the universal family extends uniquely to a generalized Drinfeld module over the compactification.
Urs Hartl, Chia‐Fu Yu
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
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
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
New building blocks for F1${\mathbb {F}}_1$‐geometry: Bands and band schemes
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract We develop and study a generalization of commutative rings called bands, along with the corresponding geometric theory of band schemes. Bands generalize both hyperrings, in the sense of Krasner, and partial fields in the sense of Semple and Whittle.
Matthew Baker +2 more
wiley +1 more source
The unification in an su ̂ 8 k U = 1 $$ \hat{su}{(8)}_{k_U=1} $$ affine Lie algebra
Journal of High Energy PhysicsA flavor-unified theory based on the simple Lie algebra of su $$ \mathfrak{su} $$ (8) was previously proposed to generate the observed three-generational Standard Model quark/lepton mass hierarchies and the Cabibbo-Kobayashi-Maskawa mixing pattern due to
Ning Chen, Zhanpeng Hou, Zhaolong Teng
doaj +1 more source
Covering AlgebrasI: Extended Affine Lie Algebras [PDF]
J. Algebra 250 (2002), 485-516, 2001 Covering Algebras of extended affine Lie algebras(EALA's) relative to finite order automorphisms are studied. Conditions are given for when the resulting algebra is again an EALA. This paper deals with affinizations of EALA's relative to finite order automorphisms and these algebras are generalizations of the affine Kac-Moody Lie algebras.
arxiv
Relative and absolute Lefschetz standard conjectures for some Lagrangian fibrations
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract We show that the hyper‐Kähler varieties of OG10‐type constructed by Laza–Saccà–Voisin (LSV) verify the Lefschetz standard conjecture. This is an application of a more general result, stating that certain Lagrangian fibrations verify this conjecture. The main technical assumption of this general result is that the Lagrangian fibration satisfies
Giuseppe Ancona +3 more
wiley +1 more source
Automorphisms of finite order of the affine Lie algebra A(1)1
, 1986 0. Introduction We will classify all automorphisms of prime order of the affineLie algebra A\1]up to conjugacy in the group of all automorphisms of A^K To do this, we will use non abelian group cohomobgy of some finite cyclic group acting on PGLi+i( [t,t'
Z. Kobayashi
semanticscholar +1 more source