This volume consists of expository and research articles that highlight the various Lie algebraic methods used in mathematical research today. Key topics discussed include spherical varieties, Littelmann Paths and Kac??oody Lie algebras, modular representations, primitive ideals, representation theory of Artin algebras and quivers, Kac??oody superalgebras, categories of Harish??handra modules, cohomological methods, and cluster algebras.?