Zobrazeno 1 - 10
of 214
pro vyhledávání: '"Bouc, Serge"'
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
Autor:
Bouc, Serge, Romero, Nadia
Publikováno v:
Mathematische Zeitschrift 300, 247-257 (2022)
We prove that, for any fields $k$ and $\mathbb{F}$ of characteristic $0$ and any finite group $T$, the category of modules over the shifted Green biset functor $(kR_{\mathbb{F}})_T$ is semisimple.
Externí odkaz:
http://arxiv.org/abs/2008.11248
Autor:
Bouc, Serge, Yılmaz, Deniz
Let $k$ be an algebraically closed field of positive characteristic $p$, and $\mathbb{F}$ be an algebraically closed field of characteristic 0. We consider the $\mathbb{F}$-linear category $\mathbb{F} pp_k^\Delta$ of finite groups, in which the set o
Externí odkaz:
http://arxiv.org/abs/1907.12877
Autor:
Bouc, Serge, Mutlu, Hatice
Let $G$ be a finite group, and $C$ be an abelian group. We introduce the notions of $C$-monomial $G$-sets and $C$-monomial $G$-posets, and state some of their categorical properties. This gives in particular a new description of the $C$-monomial Burn
Externí odkaz:
http://arxiv.org/abs/1903.08430