Results 1 to 10 of about 166,239,348 (277)
Lattices of paths: Representation theory and valuations [PDF]
Electronic Journal of Combinatorics, 2011 We study some distributive lattices arising in the combinatorics of lattice paths. In particular, for the Dyck, Motzkin and Schroder lattices we describe the spectrum and we determine explicitly the Euler characteristic in terms of natural parameters of lattice paths.
Luca Ferrari, Emanuele Munarini
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Revealing hidden periodicity in momentum-encoded metasurfaces [PDF]
Nature CommunicationsStructured planar materials known as metasurfaces enable versatile manipulation of electromagnetic waves at subwavelength scales. Especially, metasurfaces can serve as spatial sampling lattices that encode prescribed in-plane momentum profiles, as ...
Seokwoo Kim +9 more
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On lattices from combinatorial game theory modularity and a representation theorem: Finite case
Theoretical Computer Science, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Catia Dias +2 more
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How can representation theories of inverse semigroups and lattices be united?
Semigroup Forum, 1996 Let \(X\) be a set and \(\text{Rel}(X)\) the set of all binary relations on \(X\). For \(R\in\text{Rel}(X)\), let us put \(\text{Dom} (R)=\{x\mid \exists y:(x,y)\in R\}\) and define three operations \(\circ\), \({}^{-1}\) and \({\mathcal P}\) on \(X\) by: \(R\circ H= \{(x,y)\mid \exists z:(x,z)\in R\), \((z,y)\in H\}\), \(R^{-1}= \{(x,y)\mid (y,x)\in R\
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A representation theory for modal distributive lattices
Journal of Logic and ComputationJohn L Bell
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Inverse spectral problem for Jacobi operators and Miura transformation
Concrete Operators, 2021 We study a Miura-type transformation between Kac - van Moerbeke (Volterra) and Toda lattices in terms of the inverse spectral problem for Jacobi operators, which appear in the Lax representation for such systems.
Osipov Andrey
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Partial categorification of Hopf algebras and representation theory of towers of \mathcalJ-trivial monoids [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 This paper considers the representation theory of towers of algebras of $\mathcal{J} -trivial$ monoids. Using a very general lemma on induction, we derive a combinatorial description of the algebra and coalgebra structure on the Grothendieck rings $G_0 ...
Aladin Virmaux
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Representation Theory of Lattice Current Algebras [PDF]
Communications in Mathematical Physics, 1998 35 pages, LaTeX file, the revised version of the paper, to be published in Commun. Math. Phys.
Alekseev, Anton Y. +3 more
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Geometric algebra and algebraic geometry of loop and Potts models
Journal of High Energy Physics, 2022 We uncover a connection between two seemingly separate subjects in integrable models: the representation theory of the affine Temperley-Lieb algebra, and the algebraic structure of solutions to the Bethe equations of the XXZ spin chain.
Janko Böhm +3 more
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Conformal field theories, representations and lattice constructions [PDF]
Communications in Mathematical Physics, 1996 An account is given of the structure and representations of chiral bosonic meromorphic conformal field theories (CFT's), and, in particular, the conditions under which such a CFT may be extended by a representation to form a new theory. This general approach is illustrated by considering the untwisted and $Z_2$-twisted theories, $H(Λ)$ and $\tilde H(Λ)$
Dolan, L., Goddard, P., Montague, P.
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