Results 141 to 150 of about 3,001,107 (332)
Algebraic leaves of algebraic foliations over number fields [PDF]
Publications mathématiques de l'IHÉS, 2001 — We prove an algebraicity criterion for leaves of algebraic foliations defined over number fields. Namely, consider a number field K embedded in C, a smooth algebraic variety X over K, equipped with a K-rational point P, and F an algebraic subbundle of the its tangent bundle TX, defined over K. Assume moreover that the vector bundle F is involutive, i.
openaire +1 more source
Lie algebras whose derivation algebras are simple [PDF]
arXivIt is well known that a finite-dimensional Lie algebra over a field of characteristic zero is simple exactly when its derivation algebra is simple. In this paper we characterize those Lie algebras of arbitrary dimension over any field that have a simple derivation algebra.
arxiv
Ramification of Quaternion Algebras over Stable Elliptic Surfaces [PDF]
Rend. Sem. Mat. Torino 67 (2009), no. 3, 363--372, 2007 We give a geometrical criterion to determine when a quaternion algebra over the function field of a stable elliptic surface X is an Azumaya algebra over X.
arxiv
Analysis of density matrix embedding theory around the non‐interacting limit
Communications on Pure and Applied Mathematics, EarlyView.Abstract This article provides the first mathematical analysis of the Density Matrix Embedding Theory (DMET) method. We prove that, under certain assumptions, (i) the exact ground‐state density matrix is a fixed‐point of the DMET map for non‐interacting systems, (ii) there exists a unique physical solution in the weakly‐interacting regime, and (iii ...
Eric Cancès +4 more
wiley +1 more source
Nicely semiramified division algebras over Henselian fields
International Journal of Mathematics and Mathematical Sciences, 2005 This paper deals with the structure of nicely semiramified valued division algebras. We prove that any defectless finite-dimensional central division algebra over a Henselian field E with an inertial maximal subfield and a totally ramified maximal ...
Karim Mounirh
doaj +1 more source
On the genera of quadratic and hermitian forms over an algebraic number field [PDF]
, 1963 Vidit Nanda
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Communications on Pure and Applied Mathematics, EarlyView.Abstract We consider the global dynamics of finite energy solutions to energy‐critical equivariant harmonic map heat flow (HMHF) and radial nonlinear heat equation (NLH). It is known that any finite energy equivariant solutions to (HMHF) decompose into finitely many harmonic maps (bubbles) separated by scales and a body map, as approaching to the ...
Kihyun Kim, Frank Merle
wiley +1 more source
Simple Malcev algebras over fields of characteristic zero [PDF]
, 1962 Arthur Sagle
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On the Density–Density Correlations of the Non‐Interacting Finite Temperature Electron Gas
Contributions to Plasma Physics, EarlyView.ABSTRACT The density–density correlations of the non‐interacting finite temperature electron gas are discussed in detail. Starting from the ideal linear density response function and utilizing general relations from linear response theory, known and novel expressions are derived for the pair correlation function, static structure factor, dynamic ...
Panagiotis Tolias +2 more
wiley +1 more source
Invariants de Witt des involutions de bas degré en caractéristique 2
Comptes Rendus. MathématiqueA $3$-fold and a $5$-fold quadratic Pfister forms are canonically associated to every symplectic involution on a central simple algebra of degree $8$ over a field of characteristic $2$.
Tignol, Jean-Pierre
doaj +1 more source