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Allowing you to imitate, morphisms between both algebraic structures and their elements, many classical notions of elementary algebra, you need to know Tensor Categories in Lie Theory.

You will be able to distinguish with no trouble from this [course_title] to relate its connection with other subjects, time permitting, categorification of such notions from ring theory with vivid examples, properties and so on.


This course does not involve any written exams. Students need to answer 5 assignment questions to complete the course, the answers will be in the form of written work in pdf or word. Students can write the answers in their own time. Each answer needs to be 200 words (1 Page). Once the answers are submitted, the tutor will check and assess the work.


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Course Credit: MIT

Course Curriculum

Basics of monoidal categories 00:45:00
Monoidal functors 01:00:00
MacLane coherence theorem 00:45:00
Tensor product and tensor functors 00:45:00
Bialgebras and Hopf algebras 00:45:00
Quantum groups 00:45:00
Andruskeiwitsch-Schneider conjecture 00:45:00
Quantum traces 00:45:00
Tensor categories 00:45:00
Distinguished invertible object 01:00:00
Exact module categories 01:00:00
Main Theorem 00:30:00
Submit Your Assignment 00:00:00
Certification 00:00:00

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