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The SHARK integral generation and digestion system
Journal of Computational Chemistry, Volume 44, Issue 3, Page 381-396, January 30, 2023., 2023 The BLAS level 3‐driven SHARK integral generation and digestion library is introduced and it is discussed how it leads to greatly simplified workflows and substantial computational speedups. Abstract In this paper, the SHARK integral generation and digestion engine is described.
Frank Neese
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Alpha Ideals and the Space of Prime Alpha Ideals in Universal Algebras
Journal of Mathematics, 2021 The purpose of this paper is to study α-ideals in a more general context, in universal algebras having a constant 0. Several characterizations are obtained for an ideal I of an algebra A to be an α-ideal.
Gezahagne Mulat Addis
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Decomposition of Finitely Additive Markov Chains in Discrete Space
Mathematics, 2022 In this study, we consider general Markov chains (MC) defined by a transition probability (kernel) that is finitely additive. These Markov chains were constructed by S. Ramakrishnan within the concepts and symbolism of game theory.
Alexander Zhdanok, Anna Khuruma
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Between the enhanced power graph and the commuting graph
Journal of Graph Theory, Volume 102, Issue 2, Page 295-303, February 2023., 2023 Abstract The purpose of this note is to define a graph whose vertex set is a finite group G $G$, whose edge set is contained in that of the commuting graph of G $G$ and contains the enhanced power graph of G $G$. We call this graph the deep commuting graph of G $G$.
Peter J. Cameron, Bojan Kuzma
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Cohomology of moduli spaces of Del Pezzo surfaces
Mathematische Nachrichten, Volume 296, Issue 1, Page 80-101, January 2023., 2023 Abstract We compute the rational Betti cohomology groups of the coarse moduli spaces of geometrically marked Del Pezzo surfaces of degree 3 and 4 as representations of the Weyl groups of the corresponding root systems. The proof uses a blend of methods from point counting over finite fields and techniques from arrangement complements.
Olof Bergvall, Frank Gounelas
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The kh-socle of a commutative semisimple Banach algebra [PDF]
Mathematica Bohemica, 2020 Let $\mathcal{A}$ be a commutative complex semisimple Banach algebra. Denote by ${\rm kh}({\rm soc}(\mathcal{A}))$ the kernel of the hull of the socle of $\mathcal{A}$.
Youness Hadder
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On a chain of reproducing kernel Cartan subalgebras
Moroccan Journal of Pure and Applied Analysis, 2021 Let 𝔤 be a semisimple Lie algebra, j a Cartan subalgebra of 𝔤, j*, the dual of j, jv the bidual of j and B(., .) the restriction to j of the Killing form of 𝔤.
Kraidi Anoh Yannick, Kangni Kinvi
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Wasit Journal of Computer and Mathematics Science, 2023 algebra is one of the influential branches in the field of pure Mathematics. This field concentrate on the study of the algebraic structures and discussed the relationships among them.
mohd Shahoodh
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Generalizations of the double-copy: the KLT bootstrap
Journal of High Energy Physics, 2022 We formulate a new program to generalize the double-copy of tree amplitudes. The approach exploits the link between the identity element of the “KLT algebra” and the KLT kernel, and we demonstrate how this leads to a set of KLT bootstrap equations that ...
Huan-Hang Chi +4 more
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International Journal for Numerical and Analytical Methods in Geomechanics, Volume 47, Issue 2, Page 145-186, 10 February 2023., 2023 Abstract A two‐phase velocity‐pressure stabilized formulation is proposed for the numerical analysis of mechanized excavations in partially saturated soft soils using the Particle Finite Element Method (PFEM). The fully coupled formulation is based on the theory of porous media in association with the Soil Water Characteristic Curve and the porosity ...
Abdiel Ramon Leon Bal, Günther Meschke
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