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Graphical categories and representations of quantum groups
- Wu, Haihan
- Advisor(s): Kuperberg, Greg GK
Abstract
We review examples of Witten-Reshetikhin-Turaev quantum invariants, Hecke algebra, BMW algebra, web categories, and relations between them. We define web categories for the quantum orthogonal group in detail.
We also review recursive formulas for the highest-weight projectors in the web categories. We present the triple clasp formulas for G2 in detail.
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