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The bulk Hilbert space of double scaled SYK [PDF]
Journal of High Energy Physics, 2022 The emergence of the bulk Hilbert space is a mysterious concept in holography. In [1], the SYK model was solved in the double scaling limit by summing chord diagrams.
Henry W. Lin
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Hilbert Space Fragmentation and Commutant Algebras [PDF]
Physical Review X, 2022 We study the phenomenon of Hilbert space fragmentation in isolated Hamiltonian and Floquet quantum systems using the language of commutant algebras, the algebra of all operators that commute with each local term that appears in the Hamiltonian or each ...
Sanjay Moudgalya, Olexei I. Motrunich
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Relation between Sheffer Stroke and Hilbert algebras [PDF]
Categories and General Algebraic Structures with Applications, 2021 In this paper, we introduce a Sheffer stroke Hilbert algebra by giving definitions of Sheffer stroke and a Hilbert algebra. After it is shown that the axioms of Sheffer stroke Hilbert algebra are independent, it is given some properties of this algebraic
Tahsin Oner +2 more
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Hilbert Algebras of Fractions [PDF]
International Journal of Mathematics and Mathematical Sciences, 2009 Let 𝐴 be a bounded Hilbert algebra and 𝑆 a ∨-closed subset of 𝐴. The Hilbert algebra of fractions 𝐴𝑆 is studied regarding maximal and irreducible deductive systems.
Christina-Theresia Dan
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A symmetry algebra in double-scaled SYK [PDF]
SciPost Physics, 2023 The double-scaled limit of the Sachdev-Ye-Kitaev (SYK) model takes the number of fermions and their interaction number to infinity in a coordinated way.
Henry W. Lin, Douglas Stanford
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Hilbert Implication Algebra and Some Properties [PDF]
Journal of Applied Mathematics, 2021 The concepts of Hilbert implication algebra and generalized Hilbert implication algebra are introduced. The comparison theorem of Hilbert implication algebra and generalized Hilbert implication algebra is proved.
Dejen Gerima Tefera
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Relation Between Be-Algebras and G-Hilbert Algebras
Discussiones Mathematicae - General Algebra and Applications, 2018 Hilbert algebras are important tools for certain investigations in algebraic logic since they can be considered as fragments of any propositional logic containing a logical connective implication and the constant 1 which is considered as the logical ...
Rezaei Akbar, Saeid Arsham Borumand
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Derivations of Hilbert Algebras
International Journal of Analysis and Applications, 2023 In this paper, we introduce the notions of (l, r)-derivations, (r, l)-derivations, and derivations of Hilbert algebras and investigate some related properties. In addition, we define two subsets for a derivation d of a Hilbert algebra X, Ker d(X) and Fix
Aiyared Iampan +3 more
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Sheffer Stroke Hilbert Algebras Stabilizing by Ideals
AxiomsThis manuscript aims to provide a new characterization of Sheffer stroke Hilbert algebras due to their ideals and proposes stabilizers. In the setup of the main results, we construct particular subsets of Sheffer stroke Hilbert algebras and we propose ...
Tugce Katican, Hashem Bordbar
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Linear algebra and differential geometry on abstract Hilbert space [PDF]
International Journal of Mathematics and Mathematical Sciences, 2005 Isomorphisms of separable Hilbert spaces are analogous to isomorphisms of n-dimensional vector spaces. However, while n-dimensional spaces in applications are always realized as the Euclidean space Rn, Hilbert spaces admit various useful realizations as ...
Alexey A. Kryukov
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