Glueing operation for r-matrices, quantum groups and link-invariants of Hecke type

Details Glueing operation for r-matrices, quantum groups and link-invariants of Hecke type Glueing operation for r-matrices, quantum groups and link-invariants of Hecke type

1993-08-16

arxiv.org/abs/hep-th/9308072v1

Physics

High Energy Physics

High Energy Physics - Theory

36 pages

Scientific paper

We introduce an associative glueing operation $\oplus_q$ on the space of solutions of the Quantum Yang-Baxter Equations of Hecke type. The corresponding glueing operations for the associated quantum groups and quantum vector spaces are also found. The former involves $2\times 2$ quantum matrices whose entries are themselves square or rectangular quantum matrices. The corresponding glueing operation for link-invariants is introduced and involves a state-sum model with Boltzmann weights determined by the link invariants to be glued. The standard $su(n)$ solution, its associated quantum matrix group, quantum space and link-invariant arise at once by repeated glueing of the one-dimensional case.

Affiliated with

Also associated with

No associations

Rating

Glueing operation for r-matrices, quantum groups and link-invariants of Hecke type 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 Glueing operation for r-matrices, quantum groups and link-invariants of Hecke type, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Glueing operation for r-matrices, quantum groups and link-invariants of Hecke type will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-297459