Studies in Lie Theory

Survey and Review.- The work of Anthony Joseph in classical representation theory.- Quantized representation theory following Joseph.- Research Articles.- Opérateurs différentiels invariants et problème de Noether.- Langlands parameters for Heisenberg modules.- Instanton counting via affine Lie algebras II: From Whittaker vectors to the Seiberg-Witten prepotential.- Irreducibility of perfect representations of double affine Hecke algebras.- Algebraic groups over a 2-dimensional local field: Some further constructions.- Modules with a Demazure flag.- Microlocalization of ind-sheaves.- Endoscopic decomposition of certain depth zero representations.- Odd family algebras.- Gelfand-Zeitlin theory from the perspective of classical mechanics. I.- Extensions of algebraic groups.- Differential operators and cohomology groups on the basic affine space.- A q-analogue of an identity of N. Wallach.- Centralizers in the quantum plane algebra.- Centralizer construction of the Yangian of the queer Lie superalgebra.- Definitio nova algebroidis verticiani.