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 ...
Laiachi El Kaoutit, Paolo Saracco
semanticscholar +11 more sources
Tensor product representation of a 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 ...
Xie Chen +4 more
semanticscholar +9 more sources
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 +9 more sources
A topology on the Fremlin tensor product of locally convex-solid vector lattices [PDF]
arXivSuppose E and F are locally convex-solid vector lattices. Although we have a suitable vector lattice structure for the tensor product E and F (known as the Fremlin tensor product and denoted by E\otimesF), there is a lack of topological structure on E\otimes F, in general.
O. Zabeti
arxiv +5 more sources
A survey on duals of topological tensor products [PDF]
arXiv, 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
arxiv +6 more sources
Tensor products in the category of topological vector spaces are not associative [PDF]
arXiv, 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. The same pathology occurs for tensor products of Hausdorff abelian topological groups.
Helge Glöckner
arxiv +5 more sources
Topologies on Quotient Space of Matrices via Semi-tensor Product [PDF]
arXiv, 2018 An equivalence of matrices via semi-tensor product (STP) is proposed. Using this equivalence, the quotient space is obtained. Parallel and sequential arrangements of the natural projection on different shapes of matrices leads to the product topology and quotient topology respectively.
D. Cheng, Zequn Liu
arxiv +7 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
openalex +3 more sources
On the generalized positive spectrum of ordered topological tensor product algebras
Journal of Mathematical Analysis and Applications, 1972 Leonidas Tsitsas
semanticscholar +5 more sources
Topological properties in tensor products of Banach spaces
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
+7 more sources