This book is based on lectures given during a Workshop on Representations of Algebras and Related Topics. Some additional articles are included in order to complete a panoramic view of the main trends of the subject. The volume contains original presentations by leading algebraists addressed to specialists as well as to a broader mathematical audience. The articles include new proofs, examples, and detailed arguments. Topics under discussion include moduli spaces associated to quivers, canonical basis of quantum algebras, categorifications and derived categories, $A$-infinity algebras and functor categories, cluster algebras, support varieties for modules and complexes, the Gabriel-Roiter measure for modules, and selfinjective algebras.
... Emanuele Latini, and Andrew Waldron, Poincaré-Einstein Holography for Forms via Conformal Geometry in the Bulk, 2015 Tai-Ping Liu and Yanni Zeng, Shock Waves in Conservation Laws with Physical Viscosity, 2014 Gerhard Hiss, ...
The volume contains 3 survey articles on the 3 main topics mentioned, stressing their interrelationships, as well as original research papers.
Introduction to Lie Algebras and Representation Theory
... automorphic forms of symplectic groups, Manuscripta Math. 111 (2003), no. 1, 1–16, DOI 10.1007/s00229-003-0355-7. MR1981592 D. Ginzburg, S. Rallis, and D. Soudry, The descent map from automorphic representations of GL(n) to classical groups ...