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This thesis develops the foundations of the program of groupoidification and presents an application of this program--the Fundamental Theorem of Hecke Operators

The emergent mathematical philosophy of categorification is reshaping our view of modern mathematics by uncovering a hidden layer of structure in mathematics, r

The term ``categorification'' was introduced by Louis Crane in 1995 and refers to the process of replacing set-theoretic notions by the corresponding category-t

DIVConcise, graduate-level exposition covers representation theory of rings with identity, representation theory of finite groups, more. Exercises. Appendix. 19

This volume collects chapters that examine representation theory as connected with affine Lie algebras and their quantum analogues, in celebration of the impact