Olcay Coşkun

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20112026

most citedGluing Borel-Smith functions and the group of endo-trivial modules

2 citations · 3 across the 7 of their papers we have counts for

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5 papers · 1 filter

math.RT2026

Essential algebra of the shifted Burnside biset functor with abelian shift

Olcay Coşkun, Ruslan Muslumov

Let $T$ be a finite group and let $k B_{T}$ denote the shifted Burnside biset functor over a commutative ring $k$ . We study the essential algebra $k B_{T} (G)$ of $k B_{T}$ at an a…

math.RT2018

The functor of complex characters of finite groups

Mehmet Arslan, Olcay Coşkun

We determine the structure of the fibered biset functor sending a finite group $G$ to the complex vector space of complex valued class functions of $G$ . Previously, it is studied a…

math.RT2018

Obstructions for gluing biset functors

Olcay Coskun, Ergun Yalcin

We develop an obstruction theory for the existence and uniqueness of a solution to the gluing problem for a destriction functor and apply it to some well-known biset functors. The…

math.RT2017

Fibered $p$ -biset functor structure of the fibered Burnside rings

Olcay Coşkun, Deniz Yılmaz

We determine the composition factors of the $A$ -fibered Burnside functor $k B^{A}$ for $p$ -groups over a field $k$ of characteristic $q$ with $q \neq = p$ and cyclic fiber group $A$ . We…

math.RT2016★ 1 cited

Fibered Biset Functors

Robert Boltje, Olcay Coşkun

The theory of biset functors, introduced by Serge Bouc, gives a unified treatment of operations in representation theory that are induced by permutation bimodules. In this paper, b…