Event calendar file
19-23 June 2023
Faculty of Physics, University of Warsaw
Europe/Warsaw timezone
Towards a factorised solution of the Yang-Baxter equation with Uq(sln) symmetry
Presented by Mr. Benjamin MORRIS
on
19 Jun 2023
from
12:30
to
13:00
Content
The talk will discuss the emergence of factorised solutions of the Yang-Baxter equation in terms of transposition operators acting in q-difference (differential) representations of the algebra Uq(sln) (U(sln)), respectively. I will focus on the q-deformed case, where all but one of the transposition operators are constructed explicitly and the proof of a crucial symmetric group relation introduces a surprising terminating q-series identity relating q-Lauricella series of differing rank. The inability to obtain an appropriate q-analogue of a known factorisation result for the U(sl_n) Lax operator for n>3, is discussed as an obstruction to finding the missing transposition operator.
Place
Location: Faculty of Physics, University of Warsaw
Address: Pasteura 5, Warsaw
Room: Lecture hall: 0.06
