Triple clasp formulas for $C_2$ webs
Representation Theory
2022-04-26 v3
Abstract
Using the light ladder basis for Kuperberg's webs, we derive triple clasp formulas for idempotents projecting to the top summand in each tensor product of fundamental representations. We then find explicit formulas for the coefficients occurring in the clasps, by computing these coefficients as local intersection forms. Our formulas provide further evidence for Elias's clasp conjecture, which was given for type webs, and suggests how to generalize the conjecture to non-simply laced types.
Cite
@article{arxiv.2102.05186,
title = {Triple clasp formulas for $C_2$ webs},
author = {Elijah Bodish},
journal= {arXiv preprint arXiv:2102.05186},
year = {2022}
}
Comments
30 pages, many color figures, v.2 simplified some arguments v.3 nicer looking diagrams, expanded introduction