Results 41 to 50 of about 1,703,011 (386)
Semisimple representations and affine rings [PDF]
Proceedings of the American Mathematical Society, 1987 If all finite-dimensional representations of an affine algebra are semisimple, then there are only finitely many representations of each degree.
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Affine representability of quadrics revisited
Journal of Algebra, 2022 Minor changes; to appear J ...
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Vertex representations of quantum affine algebras [PDF]
Proceedings of the National Academy of Sciences, 1988 We construct vertex representations of quantum affine algebras of ADE type, which were first introduced in greater generality by Drinfeld and Jimbo. The limiting special case of our construction is the untwisted vertex representation of affine Lie algebras of Frenkel-Kac and Segal.
Naihuan Jing, Igor Frenkel
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Representation formulas and pointwise properties for Barron functions [PDF]
Calculus of Variations and Partial Differential Equations, 2020 We study the natural function space for infinitely wide two-layer neural networks with ReLU activation (Barron space) and establish different representation formulae. In two cases, we describe the space explicitly up to isomorphism.
E. Weinan, Stephan Wojtowytsch
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A discrete Fourier transform associated with the affine Hecke algebra [PDF]
, 2012 We introduce an explicit representation of the double affine Hecke algebra (of type $A_1$) at $q=1$ that gives rise to a periodic counterpart of a well-known Fourier transform associated with the affine Hecke algebra.Comment: 15 ...
Emsiz, E., van Diejen, J. F.
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3D Fermion representation of affine Yangian
Nuclear Physics B, 2022 In this paper, we give the 3D (3 dimensional) Fermion representation of affine Yangian of gl(1). In special case h1=1,h2=−1,h3=0, the 3D Fermion operators Γm→ and Γm→⁎ become γm→ and γm→⁎ which have relations with 2D Fermions.
Na Wang, Ke Wu
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Affine Tensor Product Model Transformation
Complexity, 2018 This paper introduces the novel concept of Affine Tensor Product (TP) Model and the corresponding model transformation algorithm. Affine TP Model is a unique representation of Linear Parameter Varying systems with advantageous properties that makes it ...
József Kuti, Péter Galambos
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Optimal control of stochastic singular affine systems with Markovian jumps
Journal of Inequalities and Applications, 2022 We consider an optimal control problem for a class of stochastic singular affine systems with Markovian jumps. We establish the existence and uniqueness of the solution to stochastic singular affine systems with Markovian jumps for the first time.
Xin Wang, Lisha Wang, Yuxiang Liu
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Representations of affine Nappi–Witten algebras
Journal of Algebra, 2011 26 ...
Yixin Bao, Cuipo Jiang, Yufeng Pei
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Rational Dyck Paths in the Non Relatively Prime Case [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 We study the relationship between rational slope Dyck paths and invariant subsets in Z, extending the work of the first two authors in the relatively prime case.
Eugene Gorsky +2 more
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