A survey of Heisenberg categorification via graphical calculus

Details A survey of Heisenberg categorification via graphical calculus A survey of Heisenberg categorification via graphical calculus

2011-04-25

arxiv.org/abs/1104.4789v3

Bull. Inst. Math. Acad. Sin. (N.S.) 7 (2012), pp. 291--321

Mathematics

Representation Theory

23 pages; v2: Some typos corrected and other minor improvements made; v3: Some small errors corrected

Scientific paper

In this expository paper we present an overview of various graphical categorifications of the Heisenberg algebra and its Fock space representation. We begin with a discussion of "weak" categorifications via modules for Hecke algebras and "geometrizations" in terms of the cohomology of the Hilbert scheme. We then turn our attention to more recent "strong" categorifications involving planar diagrammatics and derived categories of coherent sheaves on Hilbert schemes.

Affiliated with

Also associated with

No associations

Rating

A survey of Heisenberg categorification via graphical calculus does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A survey of Heisenberg categorification via graphical calculus, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A survey of Heisenberg categorification via graphical calculus will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-294845