Results 1 to 10 of about 2,405,135 (316)
Quadratic algebra of square groups [PDF]
Advances in Mathematics, 2007 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.
Hans Joachim Baues +2 more
semanticscholar +7 more sources
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.
L. Terrell Gardner
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On the Kantor product, II [PDF]
Karpatsʹkì Matematičnì Publìkacìï, 2022 We describe the Kantor square (and Kantor product) of multiplications, extending the classification proposed in [J. Algebra Appl. 2017, 16 (9), 1750167].
R. Fehlberg Júnior, I. Kaygorodov
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Crossed squares of cocommutative Hopf algebras [PDF]
Journal of Algebra 584, 270-303 (2021), 2021 In this paper, we define the notion of Hopf crossed square for cocommutative Hopf algebras extending the notions of crossed squares of groups and of Lie algebras. We prove the equivalence between the category of Hopf crossed squares and the category of double internal groupoids in the category of cocommutative Hopf algebras.
Florence Sterck, Florence Sterck
arxiv +6 more sources
Square integrable representations and the Fourier algebra of a unimodular group [PDF]
, 1977 Let G be a unimodular group, and let λ d be the subrepresentation of the left regular representation λ 9 which is the sum of the square integrable representations.
Giancarlo Mauceri
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On EMV-algebras with square roots [PDF]
Journal of Mathematical Analysis and Applications, 2023 A square root is a unary operation with some special properties. In the paper, we introduce and study square roots on EMV-algebras. First, the known properties of square roots defined on MV-algebras will be generalized for EMV-algebras, and we also find some new ones for MV-algebras. We use square roots to characterize EMV-algebras.
Anatolij Dvurečenskij, Omid Zahiri
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Δ-algebra and scattering amplitudes [PDF]
Journal of High Energy Physics, 2019 In this paper we study an algebra that naturally combines two familiar operations in scattering amplitudes: computations of volumes of polytopes using triangulations and constructions of canonical forms from products of smaller ones.
Freddy Cachazo +3 more
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On square-preserving isometries of convolution algebras [PDF]
Transactions of the American Mathematical Society, 1994 Let S S and S ′ S’ be two semigroups, each contained in a locally compact group. Under certain conditions on S S and S ′ S’ , we shall characterize those isometric additive surjections T : M ( S )
Sadahiro Saeki
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Compact Kac Algebras and Commuting Squares
Journal of Functional Analysis, 2000 We consider commuting squares of finite dimensional von Neumann algebras having the algebra of complex numbers in the lower left corner. Examples include the vertex models, the spin models (in the sense of subfactor theory) and the commuting squares associated to finite dimensional Kac algebras.
Teodor Banica
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SECOND QUANTIZED AUTOMORPHISMS OF THE RENORMALIZED SQUARE OF WHITE NOISE (RSWN) ALGEBRA [PDF]
, 2004 We determine the structure of the *-endomorphisms of the RSWN algebra, induced by linear maps in the 1-particle Hilbert algebra, introduce the RSWN analogue of the free evolutions and find the explicit form of the KMS states associated with some of them.
Luigi Accardi +2 more
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