Zobrazeno 1 - 10
of 215
pro vyhledávání: '"BOUC, SERGE"'
Autor:
Bouc, Serge
Let $k$ be an algebraically closed field of positive characteristic $p$. We describe the full lattice of subfunctors of the diagonal $p$-permutation functor $kR_k$ obtained by $k$-linear extension from the functor $R_k$ of linear representations over
Externí odkaz:
http://arxiv.org/abs/2412.04221
Autor:
Bouc, Serge, Yılmaz, Deniz
Let $p$ be a prime number. We consider diagonal $p$-permutation functors over a (commutative, unital) ring $\mathsf{R}$ in which all prime numbers different from $p$ are invertible. We first determine the finite groups $G$ for which the associated es
Externí odkaz:
http://arxiv.org/abs/2411.05700
In equivariant topology, Greenlees and May used Mackey functors to show that, rationally, the stable homotopy category of $G$-spectra over a finite group $G$ splits as a product of simpler module categories. We extend the algebraic part (also indepen
Externí odkaz:
http://arxiv.org/abs/2405.18885
Autor:
Bouc, Serge, Yılmaz, Deniz
Let $k$ be an algebraically closed field of characteristic $p>0$, let $R$ be a commutative ring and let $\mathcal{F}$ be an algebraically closed field of characteristic $0$. We introduce the category $\overline{\mathcal{F}_{Rpp_k}}$ of stable diagona
Externí odkaz:
http://arxiv.org/abs/2303.06976
Autor:
Bouc, Serge, Yılmaz, Deniz
Let $k$ be an algebraically closed field of characteristic $p>0$, let $R$ be a commutative ring, and let $\mathbb{F}$ be an algebraically closed field of characteristic 0. We consider the $R$-linear category $\mathcal{F}^\Delta_{Rpp_k}$ of diagonal $
Externí odkaz:
http://arxiv.org/abs/2201.12645
Autor:
Bouc, Serge
Let $p$ be a prime number, let $H$ be a finite $p$-group, and let $\mathbb{F}$ be a field of characteristic 0, considered as a trivial $\mathbb{F} \mathrm{Out}(H)$-module. The main result of this paper gives the dimension of the evaluation $S_{H,\mat
Externí odkaz:
http://arxiv.org/abs/2105.07234
Autor:
Bouc, Serge, Romero, Nadia
We introduce {\em Green fields}, as commutative Green biset functors with no non-trivial ideals. We state some of their properties and give examples of known Green biset functors which are Green fields. Among the properties, we prove some criterions
Externí odkaz:
http://arxiv.org/abs/2103.01326
Autor:
Bouc, Serge
Motivated by the theory of correspondence functors, we introduce the notion of {\em germ} in a finite poset, and the notion of {\em germ extension} of a poset. We show that any finite poset admits a largest germ extension called its {\em germ closure
Externí odkaz:
http://arxiv.org/abs/2012.05171
Autor:
Bouc, Serge
Let $B^\times$ be the biset functor over $\mathbb{F}_2$ sending a finite group~$G$ to the group $B^\times(G)$ of units of its Burnside ring $B(G)$, and let $\widehat{B^\times}$ be its dual functor. The main theorem of this paper gives a characterizat
Externí odkaz:
http://arxiv.org/abs/2008.12175