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Publisher’s description: 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 Chari’s 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 Chari’s 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 PfaffiansInteractions 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.
The articles of this volume will be reviewed individually.
Indexed articles:
Savage, Alistair, String diagrams and categorification, 3-36 [Zbl 1521.18018]
Hernandez, David; Leclerc, Bernard, Quantum affine algebras and cluster algebras, 37-65 [Zbl 1523.17031]
Greenstein, Jacob; Hernandez, David, Work of Vyjayanthi Chari, 69-75 [Zbl 1523.17001]
Neher, Erhard, Steinberg groups for Jordan pairs: an introduction with open problems, 77-114 [Zbl 1523.20090]
Gurevich, Maxim, On the Hecke-algebraic approach for general linear groups over a \(p\)-adic field, 115-144 [Zbl 1523.20016]
Varagnolo, Michela; Vasserot, Eric, Categorical representations and classical \(p\)-adic groups, 147-179 [Zbl 1523.20017]
Wang, Weiqiang; Berman, Collin, Formulae of \(\imath\)-divided powers in \(\mathbf{U}_q(\mathfrak{sl}_2)\). II, 181-243 [Zbl 1507.17033]
Li, Yiqiang; Ling, Yan, Longest Weyl group elements in action, 245-276 [Zbl 1523.20066]
Joseph, Anthony, Dual Kashiwara functions for the \(B(\infty)\) crystal in the bipartite case, 277-322 [Zbl 1523.17018]
Lecouvey, Cédric; Lenart, Cristian, Lusztig’s \(t\)-analogue of weight multiplicity via crystals, 323-357 [Zbl 1523.17019]
Lakshmibai, V.; Singh, Rahul, Conormal varieties on the cominuscule Grassmannian, 359-392 [Zbl 1511.14079]
Feigin, Boris; Jimbo, Michio; Mukhin, Evgeny, Evaluation modules for quantum toroidal \(\mathfrak{gl}_n\) algebras, 393-425 [Zbl 1523.17029]
Jing, Naihuan; Zhang, Jian, Dynamical quantum determinants and Pfaffians, 427-440 [Zbl 1523.17032]