A categorification of quantum sl(n)

By Mikhail Khovanov, Aaron D. Lauda. 2008

379 citations recorded by the source corpus.

To an arbitrary root datum we associate a2-category. For root datum corresponding to sl.n/ we show that this 2-category categorifies the idempotented form of the quantum enveloping algebra.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/d9a795fa0dac0523c439d9787ea5d986b001b2c6

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Aaron D. Lauda
2. Mikhail Khovanov
3. C. Stroppel
4. David E. V. Rose
5. Ben Elias
6. Hoel Queffelec
7. Joshua Sussan
8. Ben Webster

In Geometry and Topology

1. David E. V. Rose
2. Aaron D. Lauda
3. Hoel Queffelec
4. C. Stroppel
5. Mikhail Khovanov
6. Joshua Sussan
7. Paul Wedrich
8. Ben Elias

In Mathematical Physics

1. Aaron D. Lauda
2. David E. V. Rose
3. Hoel Queffelec
4. Mikhail Khovanov
5. C. Stroppel
6. Joshua Sussan
7. Paul Wedrich
8. I. Frenkel

Citations in the corpus

• Categorifying fractional Euler characteristics, Jones–Wenzl projectors and 3j-symbols (2012, background): “In [40] and [41] Lusztig’s version of the quantum group itself was categorified.”
• The two-color Soergel calculus (2013, background): “An introduction to diagrammatics for 2-categories can be found in [28], chapter 4.”
• Deformations of colored sl(N) link homologies via foams (2015, methodology): “D. R. would like to especially thank Sabin Cautis and Aaron Lauda, as preliminary work on this topic began in collaboration with them.”