Interactions of Quantum Affine Algebras with Cluster Algebras, Current Algebras and Categorification

This volume collects chapters that examine representation theory as connected with affine Lie algebras and their quantum analogues, in celebration of the impact Vyjayanthi Chari has had on this area. The opening chapters are based on mini-courses given at the conference ΓÇ£Interactions of Quantum Affine Algebras with Cluster Algebras, Current Algebras and CategorificationΓÇ¥, held on the occasion of ChariΓÇÖs 60th birthday at the Catholic University of America in Washington D.C., June 2018. The chapters that follow present a broad view of the area, featuring surveys, original research, and an overview of Vyjayanthi ChariΓÇÖs significant contributions. Written by distinguished experts in representation theory, a range of topics are covered, including:
String diagrams and categorificationQuantum affine algebras and cluster algebrasSteinberg groups for Jordan pairsDynamical quantum determinants and Pfaffians
Interactions of Quantum Affine Algebras with Cluster Algebras, Current Algebras and Categorification will be an ideal resource for researchers in the fields of representation theory and mathematical physics.