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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 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.
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 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.
In this volume of 18 essays, leading philosophers address the varied, volatile and novel encounters between contemporary and antique thought. They reconceive and redeploy the problems of ancient metaphysics: one and the many, the potential and the actual, the material and immaterial, the divine and the world itself. Alongside these essays are three original and previously unpublished translations of texts by Gilles Deleuze, Pierre Aubenque and Barbara Cassin.
Ancient metaphysics and contemporary continental realism have a key goal in common: to investigate how beings exists outside of the descriptions placed on them by language, consciousness, texts and society.This volume addresses the encounters between contemporary and antique philosophies, from Plato, Aristotle and Lucretius to Deieuze, Agamben and Badiou. Alongside these essays are three original and previously unpublished translations of texts by Gilles Deieuze, Pierre Aubenque and Barbara Cassin.
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