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Loop Hecke Algebra and Schur-Weyl Duality by chinamaker is a document available to read on EtoBox.
This document presents a new formulation of the loop Hecke algebra, a generalization of the Hecke algebra for the loop braid group, including a basis and a proof of linear independence using higher linear rewriting theory. It confirms a conjecture regarding the dimension of the loop Hecke algebra and explores its representation-theoretic interpretation through Schur-Weyl duality with the negative half of quantum gl1|1. The paper also discusses various mathematical concepts related to the loop Hecke algebra,
- Author
- chinamaker
- Language
- EN