Zobrazeno 1 - 10
of 214
pro vyhledávání: '"COULEMBIER, KEVIN"'
Autor:
Coulembier, Kevin
We initiate the systematic study of modular representations of symmetric groups that arise via the braiding in (symmetric) tensor categories over fields of positive characteristic. We determine what representations appear for certain examples of tens
Externí odkaz:
http://arxiv.org/abs/2406.00892
Autor:
Coulembier, Kevin, Flake, Johannes
We develop theory and examples of monoidal functors on tensor categories in positive characteristic that generalise the Frobenius functor from \cite{Os, EOf, Tann}. The latter has proved to be a powerful tool in the ongoing classification of tensor c
Externí odkaz:
http://arxiv.org/abs/2405.19506
We study the number of indecomposable summands in tensor powers of the vector representation of SL2. Our main focus is on positive characteristic where this sequence of numbers and its generating function show fractal behavior akin to Mahler function
Externí odkaz:
http://arxiv.org/abs/2405.16786
Autor:
Coulembier, Kevin, Etingof, Pavel
We apply the recently introduced notion, due to Dyckerhoff, Kapranov and Schechtman, of $N$-spherical functors of stable infinity categories, which generalise spherical functors, to the setting of monoidal categories. We call an object $N$-bounded if
Externí odkaz:
http://arxiv.org/abs/2312.03972
Autor:
Coulembier, Kevin
We set up some foundations of generalised scheme theory related to new incompressible symmetric tensor categories. This is analogous to the relation between super schemes and the category of super vector spaces.
Externí odkaz:
http://arxiv.org/abs/2311.02264
Autor:
NISHIMURA, Hirokazu
Publikováno v:
zbMATH Open.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=jairo_______::0bedb464b0e54477649f9865a0b82652
https://tsukuba.repo.nii.ac.jp/records/2007113
https://tsukuba.repo.nii.ac.jp/records/2007113
Autor:
NISHIMURA, Hirokazu
Publikováno v:
Zentralblatt MATH.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=jairo_______::d82ac2fba0838a856e0352720f638ba3
https://tsukuba.repo.nii.ac.jp/records/2006275
https://tsukuba.repo.nii.ac.jp/records/2006275
A symmetric tensor category $\mathcal D$ over an algebraically closed field $k$ is incompressible if every tensor functor out of $\mathcal D$ is an embedding. E.g., the categories $Vec$ and $sVec$ of (super)vector spaces are incompressible. Moreover,
Externí odkaz:
http://arxiv.org/abs/2306.09745
Autor:
Coulembier, Kevin
We develop some foundations of commutative algebra, with a view towards algebraic geometry, in symmetric tensor categories. Most results establish analogues of classical theorems, in tensor categories which admit a tensor functor to some tensor categ
Externí odkaz:
http://arxiv.org/abs/2306.09727
Autor:
Coulembier, Kevin
We review some recent results on $K$-theory of perfection of commutative $\mF_p$-algebras and provide an alternative proof.
Externí odkaz:
http://arxiv.org/abs/2304.01421