Unrestricted quantum moduli algebras. I. The case of punctured spheres
S Baseilhac, P Roche - SIGMA. Symmetry, Integrability and Geometry …, 2022 - emis.de
… coincide in genus g = 1 with those derived from logarithmic conformal field theory in [42]. …
The category C with objects the Uq-modules of type 1 is a semisimple tensor category (…
The category C with objects the Uq-modules of type 1 is a semisimple tensor category (…
The Drinfeld–Kohno theorem for the superalgebra
A Babichenko - Letters in Mathematical Physics, 2021 - Springer
… {g}}}}\) modules has a natural braided tensor category structure, and they proved rigidity for
… extension to logarithmic VOAs. The description of the category of modules we consider and …
… extension to logarithmic VOAs. The description of the category of modules we consider and …
Frobenius monoidal functors of Dijkgraaf-Witten categories and rigid Frobenius algebras
S Hannah, R Laugwitz, A Ros Camacho - SIGMA. Symmetry, Integrability …, 2023 - emis.de
… braided categories of representations of a logarithmic conformal field theories are modular
[24… In order to define modular tensor categories, we require the notion of non-degeneracy of a …
[24… In order to define modular tensor categories, we require the notion of non-degeneracy of a …
Fibre functors and reconstruction of Hopf algebras
S Lentner, M Mombelli - Canadian Journal of Mathematics, 2023 - cambridge.org
… One particular motivation was the logarithmic Kazhdan-Lusztig conjecture. … In this Section,
it is crucial that all categories, the tensor category C and the module category M are finite. We …
it is crucial that all categories, the tensor category C and the module category M are finite. We …
Logarithmic comparison with smooth boundary divisor in mixed Hodge modules
C Wei - Michigan Mathematical Journal, 2020 - projecteuclid.org
… generalize the logarithmic comparison theorem of Grothendieck and Deligne into the language
of mixed Hodge modules… it the category of associated Rees modules of the category of …
of mixed Hodge modules… it the category of associated Rees modules of the category of …
[HTML][HTML] The de Rham functor for logarithmic D-modules
C Koppensteiner - Selecta Mathematica, 2020 - Springer
… In the first part we deepen the six-functor theory of (holonomic) logarithmic D-modules, in …
we define a logarithmic analogue of the de Rham functor, sending logarithmic D-modules to …
we define a logarithmic analogue of the de Rham functor, sending logarithmic D-modules to …
A general theory of André's solution algebras
L Nagy, T Szamuely - Annales de l'Institut Fourier, 2020 - numdam.org
… modules and difference modules in subsequent sections. We begin by some generalities …
tensor categories; see eg [11] as a basic reference. In this text by a tensor category C we …
tensor categories; see eg [11] as a basic reference. In this text by a tensor category C we …
Unique Factorization for Tensor Products of Parabolic Verma Modules
… In this section, we prove the unique factorization of tensor products for certain classes of
parabolic Verma modules restricted to compatible subalgebras of g. We begin with some …
parabolic Verma modules restricted to compatible subalgebras of g. We begin with some …
Topological theories and automata
MS Im, M Khovanov - arXiv preprint arXiv:2202.13398, 2022 - arxiv.org
… theory corresponds to evaluation α as in (17). To α we assign a rigid symmetric monoidal
category … for a language L via free semimodule covers of the state space A(−) for the topological …
category … for a language L via free semimodule covers of the state space A(−) for the topological …
Algebraic theory of formal regular-singular connections with parameters
… the category of “endomorphisms” to the category of logarithmic … , a free C[x]-module, we shall
speak of a logarithmic lattice. … structure of a C-linear tensor category which gives MCrs(C((x))…
speak of a logarithmic lattice. … structure of a C-linear tensor category which gives MCrs(C((x))…