Results 1 to 10 of about 14,525 (168)
An integral basis for the universal enveloping algebra of the Onsager algebra [PDF]
Communications in Algebra, 2021 We construct an integral form for the universal enveloping algebra of the Onsager algebra and an explicit integral basis for this integral form. We also formulate straightening identities among some products of basis elements.
Angelo Bianchi, Samuel Chamberlin
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Axioms, 2022 The class of measure spaces which can be represented as unions of Lebesgue-Rohlin spaces with continuous measures contains a lot of important examples, such as Rn for any n∈N with the Lebesgue measure.
Taras Vasylyshyn, Kostiantyn Zhyhallo
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An Introduction to Symbolic 2-Plithogenic Modules Over Symbolic 2-Plithogenic Rings [PDF]
Neutrosophic Sets and Systems, 2023 The symbolic n-plithogenic sets and algebraic structures are a new branch of pure algebra released as new generalizations of classical algebraic structures. The main goal of this paper is to define for the first time the concept of symbolic 2-plithogenic
Nader Mahmoud Taffach +1 more
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Axioms, 2022 We construct a countable algebraic basis of the algebra of all symmetric continuous polynomials on the Cartesian product ℓp1×…×ℓpn, where p1,…,pn∈[1,+∞), and ℓp is the complex Banach space of all p-power summable sequences of complex numbers for p∈[1,+∞).
Andriy Bandura +2 more
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Numerical solution to Volterra integro-differential equations using collocation approximation [PDF]
Mathematics and Computational Sciences, 2023 This paper considers the collocation method for the numerical solution of the Volterra integro- differential equation using polynomial basis functions.
Ganiyu Ajileye, Sikiru Amoo
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Standard basis in supersymplectic algebras [PDF]
Proceedings of the National Academy of Sciences, 1989 An integral standard basis is given for products of Pfaffians containing positively and negatively signed variables. Applications to invariant theory are derived.
G C, Rota, J A, Stein
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Symmetric functions on spaces $\ell_p(\mathbb{{R}}^n)$ and $\ell_p(\mathbb{{C}}^n)$
Karpatsʹkì Matematičnì Publìkacìï, 2020 This work is devoted to the study of algebras of continuous symmetric polynomials, that is, invariant with respect to permutations of coordinates of its argument, and of $*$-polynomials on Banach spaces $\ell_p(\mathbb{R}^n)$ and $\ell_p(\mathbb{C}^n ...
T.V. Vasylyshyn
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Applications of Supersymmetric Polynomials in Statistical Quantum Physics
Quantum Reports, 2023 We propose a correspondence between the partition functions of ideal gases consisting of both bosons and fermions and the algebraic bases of supersymmetric polynomials on the Banach space of absolutely summable two-sided sequences ℓ1(Z0).
Iryna Chernega +3 more
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Independence algebras, basis algebras and the distributivity condition [PDF]
Acta Mathematica Hungarica, 2020 Stable basis algebras were introduced by Fountain and Gould and developed in a series of articles. They form a class of universal algebras, extending that of independence algebras. If a stable basis algebra $\mathbb{B}$ of finite rank satisfies the distributivity condition (a condition satisfied by all the previously known examples), it is a reduct of ...
Gould, Victoria, Bentz, Wolfram Florian
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An Optimized Algebraic Basis for Molecular Potentials [PDF]
The Journal of Physical Chemistry A, 2007 29 pages, 4 tables and 4 figures, latex. Sumbitted to J. Phys.
A. Bordoni, N. Manini
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