The balanced tensor product of module categories

CL Douglas, C Schommer-Pries, N Snyder - 2019 - projecteuclid.org
categories over a fusion category, … module categories over a finite tensor category.We give
a new construction of the balanced tensor product over a finite tensor category as a category

A theory of tensor products for module categories for a vertex operator algebra, I

YZ Huang, J Lepowsky - Selecta Mathematica, 1995 - Springer
module category (or some fixed subcategory) is closed under a certain operation. This occurs
in particular if the module category … Q(z)-tensor product of two modules exists in this case. …

A theory of tensor products for module categories for a vertex operator algebra, III

YZ Huang, J Lepowsky - Journal of Pure and Applied Algebra, 1995 - Elsevier
… vertex tensor category. Here we present the fundamental properties of the P ( z )-tensor product
of two modules for … We give two constructions of a P( z )-tensor product, using the results, …

A theory of tensor products for module categories for a vertex operator algebra, IV

YZ Huang - Journal of Pure and Applied Algebra, 1995 - Elsevier
… P ( .) -tensor products is formulated and the associativity isomorphisms are constructed
under certain assumptions on the vertex operator algebra and on the products or iterates of two …

Tensor products of modules for a vertex operator algebra and vertex tensor categories

YZ Huang, J Lepowsky - Lie Theory and Geometry: In Honor of Bertram …, 1994 - Springer
… a theory of tensor products of classes of modules for a vertex … , quantum groups, braided
tensor categories, the Jones polynomial … for us, the moonshine module Vb for the Fischer-Griess …

Morita equivalence of module categories with tensor products

P Bodo - Communications in Algebra, 1981 - Taylor & Francis
… preserve the tensor products in both categories or more … would be to study equivalences of
module categories A-Mod =" A'-… example the monoidal structures given by the tensor products

Finite tensor categories

P Etingof, V Ostrik - arXiv preprint math/0301027, 2003 - arxiv.org
… this category is not rigid and the tensor product functor … module category over C to be any
module category M such that for any object X ∈ M and any projective object P ∈ C the product

Decomposition of representations into tensor products

D Flath - Automorphic forms, representations and L-functions …, 1979 - books.google.com
module W for (A, E) is an A-module W which is nondegenerate in the sense that AW = W and
is such that dim eW is finite for all ee E. The tensor productmodules of the tensor product of …

[图书][B] Lectures on tensor categories and modular functors

B Bakalov, AA Kirillov - 2001 - ams.org
… a category one can define a projective action of the group SL2(Z) on an appropriate object,
and that one can express the tensor product … of modular tensor categories. The first one, the …

[PDF][PDF] On an inner product in modular tensor categories

A Kirillov Jr - Journal of the American Mathematical Society, 1996 - ams.org
… Unless otherwise specified, we only consider strict categories, and thus we can write
tensor products of many objects without bothering about the parentheses. Ribbon …