Tensor categories

Associative rings and algebras -- Hopf algebras, quantum groups and related topics -- Hopf algebras and their applications $K$-theory -- Higher algebraic $K$-theory -- Symmetric monoidal categories Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Quantum groups (quantized enveloping algebras) and related deformations Algebraic topology Group theory and generalizations -- Linear algebraic groups and related topics -- Quantum groups (quantized function algebras) and their representations Tensor fields Category theory; homological algebra -- Categories with structure -- Monoidal categories (= multiplicative categories), symmetric monoidal categories, braided categories Hopf algebras Categories (Mathematics)