Modified Traces on Deligne's Category Rep(S_{t})

Details Modified Traces on Deligne's Category Rep(S_{t}) Modified Traces on Deligne's Category Rep(S_{t})

2011-03-10

arxiv.org/abs/1103.2082v1

Mathematics

Representation Theory

17 pages, 19 figures

Scientific paper

Deligne has defined a category which interpolates among the representations of the various symmetric groups. In this paper we show Deligne's category admits a unique nontrivial family of modified trace functions. Such modified trace functions have already proven to be interesting in both low-dimensional topology and representation theory. We also introduce a graded variant of Deligne's category, lift the modified trace functions to the graded setting, and use them to recover the well-known invariant of framed knots known as the writhe.

Affiliated with

Also associated with

No associations

Rating

Modified Traces on Deligne's Category Rep(S_{t}) 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 Modified Traces on Deligne's Category Rep(S_{t}), we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Modified Traces on Deligne's Category Rep(S_{t}) will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-631719