Mathematical physics Physique mathématique Basic hypergeometric functions Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) Conformal invariants Formule de trace de Selberg Groupes linéaires algébriques Groupes quantiques Infinite-dimensional Lie (super)algebras Invariants conformes Lie algebras and Lie superalgebras Lie groups Linear algebraic groups Nonassociative rings and algebras Quantum field theory Quantum groups Representations of Lie and linear algebraic groups over real fields: analytic methods Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) Representations of Lie groups Représentations des groupes de Lie Selberg trace formula Semisimple Lie groups and their representations Special functions (33-XX deals with the properties of functions as functions) Théorie quantique des champs Topological groups, Lie groups Vertex operators; vertex operator algebras and related structures Virasoro and related algebras