Ruslan Muslumov

activity

20212026

collaborators

3 papers

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.RT2025

A Categorical Decomposition of $C^{\times}$ -fibered $p$ -biset Functors

Olcay Coşkun, Ruslan Muslumov

We generalize Bouc's construction of orthogonal idempotents in the double Burnside algebra to the setting of the double $C^{\times}$ -fibered Burnside algebra. This yields a…

math.RT2021

Simple Section Biset Functors

Olcay Coşkun, Ruslan Muslumov

We classify simple modules over the Green biset functor of section Burnside rings.

Essential algebra of the shifted Burnside biset functor with abelian shift

A Categorical Decomposition of C×-fibered p-biset Functors

Simple Section Biset Functors

A Categorical Decomposition of $C^{\times}$ -fibered $p$ -biset Functors