Results 61 to 70 of about 809,033 (313)
Categorification of a linear algebra identity and factorization of Serre functors [PDF]
, 2010 We provide a categorical interpretation of a well-known identity from linear algebra as an isomorphism of certain functors between triangulated categories arising from finite dimensional algebras. As a consequence, we deduce that the Serre functor of a
AI Bondal +18 more
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Biderivations of triangular algebras
Linear Algebra and its Applications, 2009 AbstractLet A be a triangular algebra. A bilinear map φ:A×A→A is called a biderivation if it is a derivation with respect to both arguments. In this paper we define the concept of an extremal biderivation, and prove that under certain conditions a biderivation of a triangular algebra A is a sum of an extremal and an inner biderivation.
openaire +3 more sources
Factorisation of orthogonal projectors
Математичні Студії, 2021 We study the problem of a special factorisation of an orthogonal projector~$P$ acting in the Hilbert space $L_2(\mathbb R)$ with $\dim\ker ...
N. S. Sushchyk, V. M. Degnerys
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Kraskiewicz-Pragacz modules and Pieri and dual Pieri rules for Schubert polynomials [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 In their 1987 paper Kraskiewicz and Pragacz defined certain modules, which we call KP modules, over the upper triangular Lie algebra whose characters are Schubert polynomials.
Masaki Watanabe
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Non-finitary Generalizations of Nil-triangular Subalgebras of Chevalley Algebras
Известия Иркутского государственного университета: Серия "Математика", 2019 Let $N\Phi(K)$ be a niltriangular subalgebra of Chevalley algebra over a field or ring $K$ associated with root system $\Phi$ of classical type. For type $A_{n-1}$ it is associated to algebra $NT(n,K)$ of (lower) nil-triangular $n \times n$- matrices ...
J. V. Bekker +2 more
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Perluasan Masalah Isoperimetrik pada Bangun Ruang
Jambura Journal of Mathematics, 2023 In this paper, several extensions of the isoperimetric problem in solid figures are explored, focusing on oblique and right prisms with rectangular, right-angled triangular, and regular hexagonal bases. The objective of this research is to find the prism
Andri Setiawan +2 more
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Solvable Leibniz algebras with triangular nilradicals [PDF]
, 2014 In this paper the description of solvable Lie algebras with triangular nilradicals is extended to Leibniz algebras. It is proven that the matrices of the left and right operators on elements of Leibniz algebra have upper triangular forms.
Karimjanov, I. A. +2 more
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Limit algebras and integer-valued cocycles, revisited
, 2016 A triangular limit algebra A is isometrically isomorphic to the tensor algebra of a C*-correspondence if and only if its fundamental relation R(A) is a tree admitting a $Z^+_0$-valued continuous and coherent cocycle.
Katsoulis, Elias, Ramsey, Chris
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Advancement in Colloidal Metasurfaces: Approaches for Scalable Photonic Devices
Advanced Materials Interfaces, EarlyView.This perspective explores colloidal metasurfaces composed of plasmonic and emitting nanoparticles assembled by laser interference lithography and template‐assisted self‐assembly methods. Precise design strategies achieve directional emission, low‐threshold lasing, and tunable photonic bandgaps.
Sezer Seçkin +2 more
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No-go theorems for r-matrices in symplectic geometry
Communications in Analysis and MechanicsIf a triangular Lie algebra acts on a smooth manifold, it induces a Poisson bracket on it. In case this Poisson structure is actually symplectic, we show that this already implies the existence of a flat connection on any vector bundle over the manifold ...
Jonas Schnitzer
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