Interactions of Quantum Affine Algebras with Cluster Algebras, Current Algebras and Categorification
In honor of Vyjayanthi Chari on the occasion of her 60th birthday
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Beschreibung
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 Pfaffians
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 Pfaffians
Examines representation theory as connected with affine Lie algebras and their quantum analogues Presents a broad view of the area, including mini-courses, surveys, and original research Celebrates the significant impact Vyjayanthi Chari has had on this area of research
Autor*in
Jacob Greenstein
Themen in »Interactions of Quantum Affine Algebras with Cluster Algebras, Current Algebras and Categorification«
Vyjayanthi Chari representation theory Vyjayanthi Chari quantum algebra Quantum affine algebras Quantum affine algebras representation Quantum groups Monoidal categories Categorification representation Cluster algebras String diagrams Steinberg groups Hecke algebra p-adic field Weyl group Cartan matrix Kashiwara functions Lusztig crystals Dynamical quantum groups