Results 11 to 20 of about 297,692 (235)
Automorphisms of Generalized Down-Up Algebras [PDF]
Communications in Algebra, 2009 20 ...
Carvalho, Paula A. A. B. +1 more
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Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real‐World Data [PDF]
Advanced Intelligent Discovery, EarlyView.This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley +2 more sources
Geomatics, 2022 Soil loss caused by erosion has destroyed landscapes, as well as depositing sterile material on fertile lands and rivers, clogged waterways and accelerated flash floods, declined the populations of fish and other species, and diminish soil fertility.
Andrew Ayangeaor Ugese +5 more
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Isomorphisms of Nonnoetherian Down-Up Algebras [PDF]
Algebras and Representation Theory, 2017 10 ...
Sergio Chouhy, Andrea Solotar
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Field theories with higher-group symmetry from composite currents
Journal of High Energy Physics, 2021 Higher-form symmetries are associated with transformations that only act on extended objects, not on point particles. Typically, higher-form symmetries live alongside ordinary, point-particle (0-form), symmetries and they can be jointly described in ...
Tomáš Brauner
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Sorting probability for large Young diagrams
Discrete Analysis, 2021 Sorting probability for large Young diagrams, Discrete Analysis 2021:24, 57 pp. Let $P=(X,\leq_P)$ be a finite partially ordered set (or _poset_, for short). A _linear extension_ $L$ of $P$ is a total ordering $\leq_L$ on $X$ such that for every $x,y\in
Swee Hong Chan, Igor Pak, Greta Panova
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ZETA ELEMENTS IN DEPTH 3 AND THE FUNDAMENTAL LIE ALGEBRA OF THE INFINITESIMAL TATE CURVE
Forum of Mathematics, Sigma, 2017 This paper draws connections between the double shuffle equations and structure of associators; Hain and Matsumoto’s universal mixed elliptic motives; and the Rankin–Selberg method for modular forms for
FRANCIS BROWN
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On the Torus Degeneration of the Genus Two Partition Function [PDF]
, 2013 We consider the partition function of a general vertex operator algebra $V$ on a genus two Riemann surface formed by sewing together two tori. We consider the non-trivial degeneration limit where one torus is pinched down to a Riemann sphere and show ...
Hurley, Donny, Tuite, Michael P.
core +1 more source
Skew Derivations on Down-up Algebras [PDF]
, 2019 7 pages; contribution to the Proceedings of the XXXVI Workshop on Geometric Methods in Physics, Bialowieza ...
Almulhem, Munerah, Brzeziński, Tomasz
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Augmented down-up algebras and uniform posets
Ars Mathematica Contemporanea, 2013 Motivated by the structure of the uniform posets we introduce the notion of an augmented down-up (or ADU) algebra. We discuss how ADU algebras are related to the down-up algebras defined by Benkart and Roby. For each ADU algebra we give two presentations by generators and relations. We also display a $Z$-grading and a linear basis.
Terwilliger, Paul +1 more
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