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
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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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A representation theory for modal distributive lattices
Journal of Logic and ComputationBell John L, John 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
doaj +1 more source
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
openaire +3 more sources
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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Representation Theory for Subfactors, $${\lambda}$$-Lattices and C*-Tensor Categories [PDF]
Communications in Mathematical Physics, 2015 We develop a representation theory for $\lambda$-lattices, arising as standard invariants of subfactors, and for rigid C*-tensor categories, including a definition of their universal C*-algebra. We use this to give a systematic account of approximation and rigidity properties for subfactors and tensor categories, like (weak) amenability, the Haagerup ...
Popa, Sorin, Vaes, Stefaan
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Searching for continuous phase transitions in 5D SU(2) lattice gauge theory
Journal of High Energy Physics, 2021 We study the phase diagram of 5-dimensional SU(2) Yang-Mills theory on the lattice. We consider two extensions of the fundamental plaquette Wilson action in the search for the continuous phase transition suggested by the 4 + ϵ expansion.
Adrien Florio +3 more
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