An approach to categorification of some small quantum groups
arXiv:1208.0616 · doi:10.4171/QT/63
Abstract
We categorify one half of the small quantum sl(2) at a prime root of unity. An extension of this construction to an arbitrary simply-laced case is proposed.
Latex file, 104 pages, many ps tricks figures. V3 contains minor corrections. Comments welcome
References in corpus (2)
Cited by in corpus (22)
- An approach to categorification of some small quantum groups II
- A categorification of quantum sl(2) at prime roots of unity
- A faithful braid group action on the stable category of tricomplexes
- The differential graded odd nilHecke algebra
- Categorification at prime roots of unity and hopfological finiteness
- The center of small quantum groups I: the principal block in type A
- p-DG cyclotomic nilHecke algebras
- Ozsvath-Szabo bordered algebras and subquotients of category O
- DG structures on odd categorified quantum sl(2)
- On some -differential graded link homologies
- Braid group actions from categorical symmetric Howe duality on deformed Webster algebras
- A categorification of a quantum Frobenius map
- p-DG cyclotomic nilHecke algebras II
- Actions of sl_2 on algebras appearing in categorification
- Simplicial Structure on Complexes
- Categorifying Hecke algebras at prime roots of unity, part I
- A categorification of the colored Jones polynomial at a root of unity
- A braid group action on a -DG homotopy category
- A categorification of the square root of -1
- Symmetries of -foams
- Cell 2-Representations and Categorification at Prime Roots of Unity
- Enhanced nilHecke algebras and baby Verma modules