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

A Kirillov Jr - Journal of the American Mathematical Society, 1996 - ams.org
… As we said, R does not lie in the tensor square of Uqg but in a certain completion of it; however,
for any pair … Obviously, in this category every negligible module is isomorphic to the zero

On classification of modular tensor categories

E Rowell, R Stong, Z Wang - Communications in Mathematical Physics, 2009 - Springer
… In our case a ribbon category is always pre-modular since we assume it is a fusion category.
For each structure, we may study … Note that the squared length of column zero of S is D2 = …

On degenerations and extensions of finite dimensional modules

K Bongartz - Advances in Mathematics, 1996 - Elsevier
… At the of paragraph 4 we consider some radical square zero algebras. … Finally, in Section
6, we combine the detailed knowledge of the module categories over tame concealed algebras …

Class and rank of differential modules

LL Avramov, RO Buchweitz, S Iyengar - Inventiones mathematicae, 2007 - Springer
… differential module is a module equipped with a square-zero … of modules over rings, as well
as differential graded modules … Our migration to the category of differential modules from the …

From triangulated categories to module categories via localization II: calculus of fractions

AB Buan, BR Marsh - Journal of the London Mathematical …, 2012 - Wiley Online Library
zero by the functor HomC(T, −), since, in the cluster-tilting case, XT = addΣT. However, one
does not obtain the module categorycategories, by the commutativity of the right-hand square

Equivalence between chain categories of representations of affine and superconformal algebras

BL Feigin, AM Semikhatov, IY Tipunin - Journal of Mathematical …, 1998 - pubs.aip.org
categories of sl̂(2) modules on the one hand and N 2 … sl̂(2) square we have the respective
highest-weight-type modules, … ,’’ at which the annihilators act by zero. We need an O-type …

ON THE STRUCTURE OF MODULAR CATEGORIES

MMUÈ GER - cambridge.org
… Our point of view is that modular categories merit being … , according to which every modular
category is (equivalent to) … the squared dimensions appeared in [38], where its square

[HTML][HTML] Cartesian modules over representations of small categories

S Estrada, S Virili - Advances in Mathematics, 2017 - Elsevier
… from the categorical notion of purity is the zero sheaf. This suggests that a different notion of
… N ′ is a restriction of ϕ if the following square commutes where the vertical arrows are the …

Simple objects in equivariantized module categories

S Pinter, V Rodrigues - Journal of Algebra and Its Applications, 2019 - World Scientific
… an algebraically closed field of characteristic zero. For a … a module category, we always
mean a left module category unless otherwise specified. Let M and N be two C-module categories

Derived complex analytic geometry II: square-zero extensions

M Porta - arXiv preprint arXiv:1507.06602, 2015 - arxiv.org
… the category of OX-modules over a derived C-analytic space X as the stabilization of a suitable
category … Finally, we apply this description to introduce the notion of analytic square-zero