Results 61 to 70 of about 541 (254)
Lie invariant Frobenius lifts on linear algebraic groups
, 2018 We show that if $G$ is a linear algebraic group over a number field and if $G$ is not a torus then for all but finitely many primes $p$ the $p$-adic completion of $G$ does not possess a Frobenius lift that is "Lie invariant mod $p$" (in the sense of \cite{alie1}). This is in contrast with the situation of elliptic curves studied in \cite{alie1}.
openaire +2 more sources
Some skew linear groups associated with Lie algebras of characteristic zero
Journal of Algebra, 1989 Let F be a field of characteristic 0, L is a Lie F-algebra of finite dimension over F, and U the universal enveloping algebra of L. It is well-known that U is a Noetherian domain so its division ring D of quotients exists. Lichtman (1984) discovered some important properties of finitely generated subrings of D; on this base he obtained a number of ...
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Theory of Supercritical Coupling and Generalized Bound States in the Continuum
Laser &Photonics Reviews, EarlyView.We develop a general theory of supercritical coupling and generalized bound states in the continuum (gBICs), revealing how interference between radiative and absorptive channels enables quality factors beyond conventional material‐loss limits. The framework unifies non‐Hermitian mode coupling, causality‐driven reactive interactions, and interference ...
Sergio Balestrieri +3 more
wiley +1 more source
No-cycle algebras and representation theory [PDF]
In the first half of this dissertation we study certain quotient algebras of preprojective algebras called no-cycle algebras N. These are studied via one-cycle algebras, which are introduced here.
Boddington, Paul
core
Quasi-isolated blocks and Brauer's height zero conjecture [PDF]
, 2012 Received: 19 December 2011 Revised: 16 October 2012 Accepted: 16 November 2012Peer ...
Malle, Gunter +6 more
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Four‐Dimensional pp‐Wave Lie Groups and Harmonic Curvature
Mathematische Nachrichten, EarlyView.ABSTRACT We determine all four‐dimensional Lie groups which have harmonic curvature. In parallel, a description of four‐dimensional pp‐wave Lie groups is obtained.
E. García‐Río +2 more
wiley +1 more source
Algebraic Approach to Quantum Gravity: relative realism [PDF]
, 2007 In the first of three articles, we review the philosophical foundations of an approach to quantum gravity based on a principle of representation-theoretic duality and a vaguely Kantian-Buddist perspective on the nature of physical reality which I have ...
Majid, Shahn
core
Linear free divisors and Frobenius manifolds [PDF]
, 2009 We study linear functions on fibrations whose central fibre is a linear free divisor. We analyse the Gauß–Manin system associated to these functions, and prove the existence of a primitive and homogenous form.
Mond, David +3 more
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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
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