Super, quantum and non-commutative species
Rafael Diaz, Eddy Pariguan
Abstract
We introduce an approach to the categorification of rings, via the notion of distributive categories with negative objects, and use it to lay down categorical foundations for the study of super, quantum and non-commutative combinatorics. Via the usual duality between algebra and geometry, these constructions provide categorifications for various types of affine spaces, thus our works may be regarded as a starting point towards the construction of a categorical geometry.
Create a lesson
Related papers
Fiber product of condensable algebras and critical points of boundary phase transitions
Hanlin Lin, Hao Zheng
Tensor triangular geometry of band algebras
Peng Xu
Universal Semisimple Reconstruction and Obstruction Theory
Joe Gildea
Inter-Categorical Subobject Analysis
Alexander Prähauser
How protomodular is your favourite category?
Maria Manuel Clementino, Diana Rodelo
Cocompletion under sifted colimits need not be finitely accessible
Yuto Kawase