Results 131 to 140 of about 823,346 (364)
Equivariant toric geometry and Euler–Maclaurin formulae
Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 451-557, March 2026.Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell +3 more
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2-recollements of singualrity categories and Gorenstein defect categories over triangular matrix algebras [PDF]
, 2020 Huanhuan Li +3 more
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Lie triple derivations of triangular algebras
Linear Algebra and its Applications, 2012 Let \(R\) be a 2-torsion free commutative ring with identity element, \(A\) and \(B\) unital \(R\)-algebras, and \(M\) an \(A\)-\(B\) bi-module that is faithful on each side. These define a formal triangular algebra \(T(A,M,B)=T=A\oplus M\oplus B\) as an additive group, with \((a,m,b)\cdot(a',m',b')=(aa',am'+mb',bb')\) the multiplication in \(T\). Note
Xiao, Zhankui, Wei, Feng
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Entropy rigidity for cusped Hitchin representations
Journal of Topology, Volume 19, Issue 1, March 2026.Abstract We establish an entropy rigidity theorem for Hitchin representations of geometrically finite Fuchsian groups which generalizes a theorem of Potrie and Sambarino for Hitchin representations of closed surface groups. In the process, we introduce the class of (1,1,2)‐hypertransverse groups and show for such a group that the Hausdorff dimension of
Richard Canary +2 more
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Block Triangularization of Algebras of Matrices
Linear Algebra and its Applications, 1980 AbstractThis paper is concerned with the interdependence of the irreducible constituents of an algebra of n × n matrices over a field F. It is shown that there is a similarity transformation reducing the algebra to a block triangular form in which, ateach pair of diagonal places, the blocks either are always equal or may be occupied by any entries from
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Sharp commutator estimates of all order for Coulomb and Riesz modulated energies
Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 207-292, February 2026.Abstract We prove functional inequalities in any dimension controlling the iterated derivatives along a transport of the Coulomb or super‐Coulomb Riesz modulated energy in terms of the modulated energy itself. This modulated energy was introduced by the second author and collaborators in the study of mean‐field limits and statistical mechanics of ...
Matthew Rosenzweig, Sylvia Serfaty
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Highest weight theory for finite-dimensional graded algebras with triangular decomposition [PDF]
, 2018 Gwyn Bellamy, Ulrich Thiel
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Generalized Lie derivations on triangular algebras
Linear Algebra and its Applications, 2011 A linear map \(f\) from an algebra \(A\) into an \(A\)-bimodule \(M\) is called a generalized Lie derivation is there exists a map \(d\colon A\to M\) such that \(f(xy-yx)=f(x)y-f(y)x+xd(y)-yd(x)\) for all \(x,y\in A\). The main theorem describes the structure of such maps on algebras satisfying certain technical conditions.
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Convergence properties of dynamic mode decomposition for analytic interval maps
Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 179-206, February 2026.Abstract Extended dynamic mode decomposition (EDMD) is a data‐driven algorithm for approximating spectral data of the Koopman operator associated to a dynamical system, combining a Galerkin method with N$N$ functions and a quadrature method with M$M$ quadrature nodes.
Elliz Akindji +3 more
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Automophisms of Nil-Triangular Subrings of Algebras Chevalley Type $G_2$ Over Integral Domain. I
Известия Иркутского государственного университета: Серия "Математика"Let $N\Phi(K)$ be the nil-triangular subalgebra of the Chevalley algebra over an associative commutative ring $K$ with the identity associated with a root system $\Phi$.
A. V. Kazakova
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