Results 1 to 10 of about 2,499,965 (359)
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
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Journal of High Energy Physics, 2018 The chiral algebra of the symmetric product orbifold of a single-boson CFT corresponds to a “higher spin square” algebra in the large N limit. In this note, we show that a symmetrized collection of N bosons defines a similar structure that we refer to as
Menika Sharma
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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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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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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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On Square-Integrable Representations of A Lie Group of 4-Dimensional Standard Filiform Lie Algebra [PDF]
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2020 In this paper, we study irreducible unitary representations of a real standard filiform Lie group with dimension equals 4 with respect to its basis. To find this representations we apply the orbit method introduced by Kirillov. The corresponding orbit of
Edi Kurniadi
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Algebras with radical square zero are either self-injective or CM-free
, 2011 An artin algebra is called CM-free provided that all its finitely generated Gorenstein projective modules are projective. We show that a connected artin algebra with radical square zero is either self-injective or CM-free. As a consequence, we prove that
Xiao‐Wu Chen
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An octonionic construction of E8 and the Lie algebra magic square [PDF]
Innovations in Incidence Geometry Algebraic Topological and Combinatorial, 2022 We give a new construction of the Lie algebra of type $E_8$, in terms of $3\times3$ matrices, such that the Lie bracket has a natural description as the matrix commutator.
R. Wilson, T. Dray, C. Manogue
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Square-root higher-order Weyl semimetals [PDF]
Nature Communications, 2022 The mathematical foundation of quantum mechanics is built on linear algebra, while the application of nonlinear operators can lead to outstanding discoveries under some circumstances, such as the prediction of positron, a direct outcome of the Dirac ...
Lingling Song +3 more
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Square Root Bundle Adjustment for Large-Scale Reconstruction [PDF]
Computer Vision and Pattern Recognition, 2021 We propose a new formulation for the bundle adjustment problem which relies on nullspace marginalization of landmark variables by QR decomposition. Our approach, which we call square root bundle adjustment, is algebraically equivalent to the commonly ...
Nikolaus Demmel +3 more
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