Topological tensor product of bimodules, complete Hopf Algebroids and convolution algebras [PDF]
Communications in Contemporary Mathematics, 2018 Given a finitely generated and projective Lie-Rinehart algebra, we show that there is a continuous homomorphism of complete commutative Hopf algebroids between the completion of the finite dual of its universal enveloping Hopf algebroid and the ...
Kaoutit, Laiachi El, Saracco, Paolo
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Tensor product representation of topological ordered phase: necessary symmetry conditions [PDF]
Physical Review B, 2010 The tensor product representation of quantum states leads to a promising variational approach to study quantum phase and quantum phase transitions, especially topological ordered phases which are impossible to handle with conventional methods due to ...
Bei Zeng +7 more
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SOME ALGEBRAIC AND TOPOLOGICAL PROPERTIES OF THE NONABELIAN TENSOR PRODUCT [PDF]
Bulletin of the Korean Mathematical Society, 2013 Several authors investigated the properties which are invariant under the passage from a group to its nonabelian tensor square. In the present note we study this problem from the viewpoint of the classes of groups and the methods allow us to prove a ...
Daniele Ettore Otera +2 more
semanticscholar +6 more sources
Tensor products in the category of topological vector spaces are not associative [PDF]
, 2003 We show by example that the associative law does not hold for tensor products in the category of general (not necessarily locally convex) topological vector spaces.
Glockner, Helge
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Quantum phase transition between symmetry enriched topological phases in tensor-network states [PDF]
Physical Review Research, 2023 Quantum phase transitions between different topologically ordered phases exhibit rich structures and are generically challenging to study in microscopic lattice models.
Lukas Haller +3 more
doaj +2 more sources
Classification of Dipolar Symmetry-Protected Topological Phases: Matrix Product States, Stabilizer Hamiltonians and Finite Tensor Gauge Theories [PDF]
Physical review B, 2023 We classify one-dimensional symmetry-protected topological (SPT) phases protected by dipole symmetries. A dipole symmetry comprises two sets of symmetry generators: charge and dipole operators, which together form a non-trivial algebra with translations.
Ho Tat Lam
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Topological properties in tensor products of Banach spaces [PDF]
Journal of Functional Analysis, 2022 Given two Banach spaces $X$ and $Y$, we analyze when the projective tensor product $X\widehat{\otimes}_ Y$ has Corson's property (C) or is weakly Lindel f determined (WLD), subspace of a weakly compactly generated (WCG) space or subspace of a Hilbert generated space. For instance, we show that: (i) $X\widehat{\otimes}_ Y$ is WLD if and only if both $
Antonio Avilés +3 more
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Compactness in Topological Tensor Products and Operator Spaces [PDF]
Proceedings of the American Mathematical Society, 1972 Let E and F be Banach spaces, E(?F their algebraic tensor product, and E (?,a F the completion of E(?F with respect to a uniform crossnorm oc?i (where ) is the "least", and y the greatest, crossnorm). In ?2 we characterize the relatively compact subsets of E (DA Fas those which, considered as spaces of operators from E* to F and from F* to E, take the ...
J. R. Holub
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A survey on duals of topological tensor products [PDF]
Rendiconti del Seminario Matematico, 2016 We give a survey on classical and recent results on dual spaces of topological tensor products as well as some examples where these are used.
Eduard A. Nigsch, Norbert Ortner
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On topological tensor products of functional Fréchet and DF spaces [PDF]
Integral Transforms and Special Functions, 2009 A convenient technique for calculating completed topological tensor products of functional Frechet and DF spaces is developed. The general construction is applied to proving kernel theorems for a wide class of spaces of smooth and entire analytic functions.
A. G. Smirnov
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