Results 11 to 20 of about 8,682 (260)
Quadratic algebra of square groups
Advances in Mathematics, 2008 There is a long-standing problem of algebra to extend the symmetric monoidal structure of abelian groups, given by the tensor product, to a non abelian setting. In this paper we show that such an extension is possible. Morover our non abelian tensor product remains even right exact and balanced.
Baues, H-J, Jibladze, M, Pirashvili, T
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Hopf algebra structure on packed square matrices
Journal of Combinatorial Theory, Series A, 2015 A family indexed by nonnegative integers \(k\) of packed square matrices is introduced and studied; the entries of these matrices are the elements of \(\{0,\ldots,k\}\). The product is given by a shuffle product of the columns and the coproduct is a decomposition of the matrices as concatenations of packed square blocks, up to a decompression of the ...
Cheballah, Hayat +2 more
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Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real-World Data. [PDF]
Adv Intell DiscovThis 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 ...
Ren Y, Wei GW.
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Gluing affine Yangians with bi-fundamentals
Journal of High Energy Physics, 2020 The affine Yangian of gl 1 $$ {\mathfrak{gl}}_1 $$ is isomorphic to the universal enveloping algebra of W 1 + ∞ $$ {\mathcal{W}}_{1+\infty } $$ and can serve as a building block in the construction of new vertex operator algebras. In [1], a two-parameter
Wei Li
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Symmetry algebras of stringy cosets
Journal of High Energy Physics, 2019 We find the symmetry algebras of cosets which are generalizations of the minimal-model cosets, of the specific form SU N k × SU N ℓ SU N k + ℓ $$ \frac{\mathrm{SU}{(N)}_k\times \mathrm{SU}{(N)}_{\mathrm{\ell}}}{\mathrm{SU}{(N)}_{k+\mathrm{\ell}}} $$ . We
Dushyant Kumar, Menika Sharma
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On locally pseudoconvex square algebras [PDF]
Publicacions Matemàtiques, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Square Roots in Banach Algebras [PDF]
Proceedings of the American Mathematical Society, 1966 A complex number which is not a nonpositive real number has a unique square root in the right half-plane. In this paper, we obtain an extension of this observation to general (complex) Banach algebras. Since the elements we study are regular, and have logarithms, the existence of square roots is not at stake.
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Isomorphism of Matrix Algebras over Cuntz Algebras [PDF]
ITM Web of ConferencesStarting with a Cuntz algebra On constructed by n isometries, we discuss a C*-algebra consisting of elements of a fixed size k square matrix, where the entries of matrix are from the Cuntz algebra 𝒪n.
Humam Afif +3 more
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The three types of normal sequential effect algebras [PDF]
Quantum, 2020 A sequential effect algebra (SEA) is an effect algebra equipped with a $\textit{sequential product}$ operation modeled after the Lüders product $(a,b)\mapsto \sqrt{a}b\sqrt{a}$ on C$^*$-algebras.
Abraham Westerbaan +2 more
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Algebra of Complex Vectors and Applications in Electromagnetic Theory and Quantum Mechanics
Mathematics, 2015 A complex vector is a sum of a vector and a bivector and forms a natural extension of a vector. The complex vectors have certain special geometric properties and considered as algebraic entities. These represent rotations along with specified orientation
Kundeti Muralidhar
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