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Results tagged with quantum-groups
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user 750
Questions about algebraic structures known as quantum groups, and their categories of representations. Quasitriangular Hopf algebras and their Drinfel'd twists, triangular Hopf algebras, $C^\star$ quantum groups, h-adic quantum groups, various semisimplified categories at roots of unity which are called "quantum groups", bicrossproduct quantum groups, and quantum groups coming from braided tensor categories.
6
votes
Why Drinfel'd-Jimbo-type quantum groups?
So, here's some of my own investigation into this. Define the n-th partial flag variety $Fl_n(\mathbb{C}^m)$ to be the set of all n-step partial flags
$$F_0 \subseteq F_1 \subseteq ... \subseteq F_n …
- 13k
38
votes
6
answers
4k
views
Why Drinfel'd-Jimbo-type quantum groups?
Hopf algebras are pretty easy to motivate, as a not-necessarily-commutative generalization of the ring of functions on an algebraic group (and there are many other ways in which they come up). I like …
- 13k