Homfly-Pt and Alexander polynomials from a doubled Schur algebra

2014/12/11 by Hoel Queffelec, Queffelec, Hoel, Antonio Sartori +1
Mathematics · #17B37 #20G43 #57M25 #57M27 #81R50 #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math.QA #math.RT #msc:17B37 #msc:20G43 #msc:57M25 #msc:57M27 #msc:81R50

paper · pdf · doi:10.48550/arxiv.1412.3824

13 pages

arxiv created 2014/12/11 · arxiv updated 2014/12/15

Abstract

We define a generalization of the idempotented Schur algebra which gives a unified setting for a quantum group presentation of the Homfly-Pt polynomial, together with its specializations to the Alexander polynomial and the slm Reshetikhin-Turaev invariants.

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