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 Interactions of Quantum Affine Algebras with Cluster Algebras, Current Algebras and Categorification, held on the occasion of Charis 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 Charis significant contributions. Written by distinguished experts in representation theory, a range of topics are covered, including: String diagrams and categorification Quantum affine algebras and cluster algebras Steinberg groups for Jordan pairs Dynamical 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.
MR1367085 [53] M. W. Liebeck and G. M. Seitz, Maximal subgroups of exceptional groups of Lie type, ... MR1717629 [58] M. W. Liebeck and G. M. Seitz, The maximal subgroups of positive dimension in ex- ceptional algebraic groups, Mem.
The goal of this book is to describe algebraic structures associated with the affine Lie algebras, including affine vertex algebras, Yangians, and classical -algebras, which have numerous ties with many areas of mathematics and mathematical ...