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This course will give a detailed introduction to the theory of tensor categories and review some of its connections to other subjects (with a focus on representation-theoretic applications).
0
1
English
English [CC]
FREE
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Description
In particular, we will discuss categorifications of such notions from ring theory as: module, morphism of modules, Morita equivalence of rings, commutative ring, the center of a ring, the centralizer of a subring, the double centralizer property, graded ring, etc
Course content
- Basics of monoidal categories Unlimited
- Monoidal functors Unlimited
- MacLane coherence theorem Unlimited
- Tensor product and tensor functors Unlimited
- Bialgebras and Hopf algebras Unlimited
- Quantum groups Unlimited
- Andruskeiwitsch-Schneider conjecture Unlimited
- Quantum traces Unlimited
- Tensor categories Unlimited
- Distinguished invertible object Unlimited
- Exact module categories Unlimited
- Main Theorem Unlimited
Instructor
Massachusetts Institute of Technology
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