5 papers
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 to the complex vector space of complex valued class functions of . Previously, it is studied a…
Tower Diagrams and Pieri's Rule
Olcay Coşkun, Müge Taşkın
We introduce an algorithm to describe Pieri's Rule for multiplication of Schubert polynomials. The algorithm uses tower diagrams introduced by the authors and another new algorithm…
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…
Fibered -biset functor structure of the fibered Burnside rings
Olcay Coşkun, Deniz Yılmaz
We determine the composition factors of the -fibered Burnside functor for -groups over a field of characteristic with and cyclic fiber group . We…
Tower Tableaux
Olcay Coşkun, Müge Taşkın
We introduce a new combinatorial object called tower diagrams and prove fundamental properties of these objects. We also introduce an algorithm that allows us to slide words to tow…