QUANTIZED SL(2) REPRESENTATIONS OF KNOT GROUPS

Jun Murakami, Roland Van Der Veen

Research output: Contribution to journalArticlepeer-review

Abstract

For a braided Hopf algebra A with braided commutativity, we introduce the space of A representations of a knot K as a generalization of the G representation space of K defined for a group G. By rebuilding the G representation space from the view point of Hopf algebras, it is extended to any braided Hopf algebra with braided commutativity. Applying this theory to BSL(2) which is the braided quantum SL(2) introduced by S. Majid, we get the space of BSL(2) representations. It is a non-commutative algebraic scheme which provides quantized SL(2) representations of K.

MSC Codes 57M27, 57M05, 16T05

Original languageEnglish
JournalUnknown Journal
Publication statusPublished - 2018 Dec 22

ASJC Scopus subject areas

  • General

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