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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 KacMoody Lie algebras, modular representations, primitive ideals, representation theory of Artin algebras and quivers, KacMoody superalgebras, categories of HarishChandra modules, cohomological methods, and cluster algebras.

This volume highlights the various Lie algebraic methods used in mathematical research today. Key topics include spherical varieties, vertex algebras, Littelmann Paths and KacMoody Borcherds algebras, finite W-algebras, modular representations and primitive ideals.