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We give two results concerning the construction of modular invariant partition functions for conformal field theories constructed by tensoring together other conformal field theories. First we show how the possible modular invariants for…

High Energy Physics - Theory · Physics 2009-10-22 Gerald B. Cleaver , David C. Lewellen

In the references [HL1]--[HL5] and [H1], a theory of tensor products of modules for a vertex operator algebra is being developed. To use this theory, one first has to verify that the vertex operator algebra satisfies certain conditions. We…

q-alg · Mathematics 2008-02-03 Yi-Zhi Huang

It is well-known that the tensor product of two bialgebras constitutes the binary product in the category of cocommutative bialgebras and morphisms of bialgebras between them. In this paper, we extend this result to triangular bialgebras…

Quantum Algebra · Mathematics 2026-05-27 Alessandro Ardizzoni , Andrea Sciandra

We define the tensor product of 1-motives with motives of weight 0 and we construct explicitely the 1-motive underlying the quotient M_1 \otimes M_2 / W_{-3}(M_1 \otimes M_2).

Algebraic Geometry · Mathematics 2010-07-23 Cristiana Bertolin

Suppose $\Sigma$ is a topological space and $S(\Sigma)$ is the vector lattice of all equivalent classes of continuous real-valued functions defined on open dense subsets of $\Sigma$. In this paper, we establish some lattice and topological…

Functional Analysis · Mathematics 2025-05-16 Omid Zabeti

In the present paper, we study warped product semi-slant submanifolds of Kenmotsu manifolds. We have obtained results on the existence of warped product semi-slant submanifolds of Kenmotsu manifolds in term of the canonical structure .

Differential Geometry · Mathematics 2013-01-29 Sachin Kumar Srivastava

We derive cosmological soft theorems for solids coupled to gravity. To this end, we first derive all cosmological adiabatic modes for solids, which display the interesting novelty of non-vanishing anisotropic stresses on large scales. Then,…

High Energy Physics - Theory · Physics 2019-06-12 Enrico Pajer , Sadra Jazayeri , Drian van der Woude

For a given twisted cartesian products of simplicial sets, we construct the corresponding twisted tensor product in the sense of Brown, with an explicit twisting function whose formula is simple without using inductions. This is done by…

Algebraic Topology · Mathematics 2026-04-13 Li Cai

There is a long-standing problem of algebra to extend the symmetric monoidal structure of abelian groups, given by the tensor product, to a non abelian setting. In this paper we show that such an extension is possible. Morover our non…

Category Theory · Mathematics 2007-05-23 H. -J. Baues , M. Jibladze , T. Pirashvili

We show how to define the tensor product of two braided Hopf algebras.

Quantum Algebra · Mathematics 2007-06-14 Matias Graña , Jorge A. Guccione , Juan J. Guccione

We study the existence of nontrivial semidualizing DG modules over tensor products of DG algebras over a field. In particular, this gives a lower bound on the number of semidualizing DG modules over the tensor product.

Commutative Algebra · Mathematics 2014-11-26 Hannah Altmann

The notion of 'slope rational connectedness' is introduced in the context of smooth orbifold pairs. The main result parallels the characterization of the rational connectedness of projective manifolds in terms of either the non-existence of…

Algebraic Geometry · Mathematics 2016-07-28 Frederic Campana , Mihai Paun

Kang et al. provided a path realization of the crystal graph of a highest weight module over a quantum affine algebra, as certain semi-infinite tensor products of a single perfect crystal. In this paper, this result is generalized to give a…

Quantum Algebra · Mathematics 2007-05-23 Masato Okado , Anne Schilling , Mark Shimozono

We show that over a perfect field, every non-semisimple finite tensor category with finitely generated cohomology embeds into a larger such category where the tensor product property does not hold for support varieties.

Quantum Algebra · Mathematics 2023-08-11 Petter Andreas Bergh , Julia Yael Plavnik , Sarah Witherspoon

The purpose of the present paper is to lay the foundations for a systematic study of tensor products of operator systems. After giving an axiomatic definition of tensor products in this category, we examine in detail several particular…

Operator Algebras · Mathematics 2011-02-25 Ali S. Kavruk , Vern I. Paulsen , Ivan G. Todorov , Mark Tomforde

We characterise the embedding of the spatial product of two Arveson systems into their tensor product using the random set technique. An important implication is that the spatial tensor product does not depend on the choice of the reference…

Operator Algebras · Mathematics 2014-09-10 Volkmar Liebscher

Under some assumptions we prove that the Deligne tensor product of categories of constructible perverse sheaves on pseudomanifolds X and Y is the category of constructible perverse sheaves on X\times Y. The Deligne external tensor product…

Category Theory · Mathematics 2008-02-15 Volodymyr Lyubashenko

We prove that the system of Gromov-Witten invariants of the product of two varieties is equal to the tensor product of the systems of Gromov-Witten invariants of the two factors.

alg-geom · Mathematics 2007-05-23 Kai Behrend

Torelli's theorem is proven by the study of the convolution product of the intersection cohomology sheaf of the thetadivisor.

Algebraic Geometry · Mathematics 2007-05-23 Rainer Weissauer

We introduce the main concepts and announce the main results in a theory of tensor products for module categories for a vertex operator algebra. This theory is being developed in a series of papers including hep-th 9309076 and hep-th…

High Energy Physics - Theory · Physics 2008-02-03 Yi-Zhi Huang , James Lepowsky