78 citations · 119 across the 8 of their papers we have counts for
14 papers
Flag Space, Matroidal Schur Algebras and the Steinberg Representation
Carl Mautner
We define via generators and relations an extended version of the matroidal Schur algebras introduced in earlier work of the author with Tom Braden. In the case of projective geome…
An Intersection Matrix for Affine Hyperplane Arrangements
Jens Niklas Eberhardt, Carl Mautner
For a real affine hyperplane arrangement, we define an integer intersection matrix with a natural -deformation related to the intersections of bounded chambers of the arrangemen…
Perverse sheaves on symmetric products of the plane
Tom Braden, Carl Mautner
For any field , we give an algebraic description of the category of perverse sheaves on the -fold symmetric product of the p…
Category for Oriented Matroids
Ethan Kowalenko, Carl Mautner
We associate to a sufficiently generic oriented matroid program and choice of linear system of parameters a finite dimensional algebra, whose representation theory is analogous to…
Ringel duality for perverse sheaves on hypertoric varieties
Tom Braden, Carl Mautner
Motivated by the polynomial representation theory of the general linear group and the theory of symplectic singularities, we study a category of perverse sheaves with coefficients…
Matroidal Schur Algebras
Tom Braden, Carl Mautner
Fix a principal ideal domain . In this article we associate to a (weighted) matroid a quasi-hereditary algebra defined over such that matroid duality corresponds…