Results 121 to 130 of about 11,203 (263)
Kuga–Satake Construction on Families of K3 Surfaces of Picard Rank 14
Mathematische Nachrichten, EarlyView.ABSTRACT The isometry between the type IV6 and the type II4 hermitian symmetric domains suggests a possible relation between suitable moduli spaces of K3 surfaces of Picard rank 14 and of polarized abelian 8‐folds with totally definite quaternion multiplication. We show how this isometry induces a geometrically meaningful map between such moduli spaces
Flora Poon
wiley +1 more source
Ideals and primitive elements of some relatively free Lie algebras. [PDF]
Springerplus, 2016 Ekici N, Esmerligil Z, Ersalan D.
europepmc +1 more source
, 2010 Let g be a simple complex Lie algebra and let e be a nilpotent element of g. It was conjectured by Premet in [P07i] that the finite W-algebra U(g; e) admits a 1-dimensional representation, and further work [L10, P08] has reduced this conjecture to the ...
Ubly, Glenn
core
Invariant algebras and completely reducible representations [PDF]
, 1994 We give a general construction of affine noetherian algebras with the property that every finite dimensional representation is completely reducible. Starting from enveloping algebras of semi simple Lie algebras in characteristic zero we obtain explicit ...
Kraft, Hanspeter, Small, Lance W.
core
The Two Extremal Rays of Some Hyper–Kähler Fourfolds
Mathematische Nachrichten, EarlyView.ABSTRACT We consider projective Hyper–Kähler manifolds of dimension 4 that are deformation equivalent to Hilbert squares of K3 surfaces. In case such a manifold admits a divisorial contraction, the exceptional divisor is a conic bundle over a K3 surface. A classification of lattice embeddings implies that there are five types of such conic bundles.
Federica Galluzzi, Bert van Geemen
wiley +1 more source
Integrability of systems of two second-order ordinary differential equations admitting four-dimensional Lie algebras. [PDF]
Proc Math Phys Eng Sci, 2017 Gainetdinova AA, Gazizov RK.
europepmc +1 more source
A Linear Generalization of the Nearly Gorenstein Property, With Applications to Veronese Subalgebras
Mathematische Nachrichten, EarlyView.ABSTRACT We study the nearly Gorenstein property for Veronese subalgebras of (semi‐)standard graded algebras. We introduce a condition (♮)$(\natural)$ for Cohen–Macaulay semi‐standard graded rings, motivated by the study of Ehrhart rings. We show that if a semi‐standard graded algebra R$ R$ satisfies (♮)$(\natural)$, then its Veronese subalgebras R(k)$
Sora Miyashita
wiley +1 more source
Amenability Constants for Unconditional Sums of Banach Algebras
Mathematische Nachrichten, EarlyView.ABSTRACT We study Johnson amenability for unconditional direct sums of Banach algebras. Given a family (Ai)i∈I$(A_i)_{i\in I}$ of Banach algebras and a Banach sequence lattice E$E$ on I$I$, the E$E$‐sum ⨁i∈IAiE${\bigl (\bigoplus _{i\in I} A_i\bigr)}_{\!E}$ carries a natural Banach algebra structure via coordinatewise multiplication.
Tomasz Kania, Jerzy Ka̧kol
wiley +1 more source
Generalized semidirect sums of Lie algebras and their modules
summary:Generalized semidirect sums of Lie algebras and their modules are introduced, which are not necessarily (non)-Abelian extensions and may be applied to construct Lie algebras from modules.
Lu, Rui, Tan, Youjun
core +1 more source
Gait Adaptability Training Improves Gait in Spinocerebellar Ataxia Patients
Movement Disorders Clinical Practice, EarlyView.Abstract Background Spinocerebellar ataxia (SCA) is a rare, genetic neurodegenerative movement disorder primarily affecting the cerebellum. So far, there is no available cure for SCA. However, evidence suggests that neurorehabilitation can alleviate symptoms.
Colette J.M. Reniers +5 more
wiley +1 more source