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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.
Assessment
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.
Certification
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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 | ||
| Assessment | |||
| Submit Your Assignment | 00:00:00 | ||
| Certification | 00:00:00 | ||
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