An approach to categorification of some small quantum groups II
arXiv:1302.5478 · doi:10.1016/j.aim.2015.10.009
Abstract
We categorify an idempotented form of quantum sl2 and some of its simple representations at a prime root of unity.
arXiv comment59 pages, many PSTricks figures, v2 contains minor corrections and updated references
References in corpus (23)
- A diagrammatic approach to categorification of quantum groups I
- 2-Kac-Moody algebras
- A diagrammatic approach to categorification of quantum groups II
- Bordered Heegaard Floer homology: Invariance and pairing
- A diagrammatic approach to categorification of quantum groups III
- A categorification of quantum sl(2)
- Four dimensional topological quantum field theory, Hopf categories, and the canonical bases
- Quiver varieties and tensor products
- Diagrammatics for Soergel categories
- Knot invariants and higher representation theory I: diagrammatic and geometric categorification of tensor products
- Knot invariants and higher representation theory II: the categorification of quantum knot invariants
- Universal -differential calculus and -analog of homological algebra
- Canonical bases and Khovanov-Lauda algebras
- Khovanov homology is a skew Howe 2-representation of categorified quantum sl(m)
- An introduction to diagrammatic algebra and categorified quantum sl(2)
- An approach to categorification of some small quantum groups
- Hopfological Algebra
- Implicit structure in 2-representations of quantum groups
- Categorification of integrable representations of quantum groups
- A categorification of quantum sl(2) at prime roots of unity
- Hopfological algebra and categorification at a root of unity: the first steps
- Slicing planar grid diagrams: a gentle introduction to bordered Heegaard Floer homology
- On the definition of Kac-Moody 2-category
Cited by in corpus (24)
- An approach to categorification of some small quantum groups
- An odd categorification of quantum sl(2)
- 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
- DG structures on odd categorified quantum sl(2)
- p-DG cyclotomic nilHecke algebras
- On some -differential graded link homologies
- A categorification of a quantum Frobenius map
- A categorification of cyclotomic rings
- Braid group actions from categorical symmetric Howe duality on deformed Webster algebras
- p-DG cyclotomic nilHecke algebras II
- Actions of sl_2 on algebras appearing in categorification
- Categorifying Hecke algebras at prime roots of unity, part I
- Simplicial Structure on Complexes
- 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
- A -DG deformed Webster algebra of type
- Enhanced nilHecke algebras and baby Verma modules
- Superized Troesch complexes and cohomology for strict polynomial superfunctors
- Cell 2-Representations and Categorification at Prime Roots of Unity