SMS scnews item created by Kevin Coulembier at Fri 19 Aug 2016 1132
Type: Seminar
Modified: Sun 21 Aug 2016 1524
Distribution: World
Expiry: 30 Sep 2016
Calendar1: 2 Sep 2016 1200-1300
CalLoc1: Carslaw 375
CalTitle1: Quantum correspondences of Lie superalgebras
Auth: kevinc@pkevinc.pc (assumed)

Algebra Seminar: Xu -- Quantum correspondences of Lie superalgebras

Ying Xu (Hefei University of Technology) 

Friday 2 September, 12-1pm, Place: Carslaw 375 

Quantum correspondences of Lie superalgebras.

A remarkable connection between osp(1|2n) and so(2n+1) was discovered in the early 80s,
which can be understood in terms of an intriguing isomorphism between the quantised
universal enveloping algebras of osp(1|2n) and so(2n+1).  The same isomorphism emerged
in very recent work of Mikhaylov and Witten on quantum Chern-Simons theories.  Apart
from their applications in superstring theory, quantum correspondences are beneficial
for studying the representation theory of Lie superalgebras.  We will describe a
catalogue of the isomorphisms for families of pairs of quantum (affine) superalgebras,
which are analogous to that between the quantum (super)groups of osp(1|2n) and so(2n+1),
and show that the representation categories of the Hopf superalgebras in each pair are
equivalent as strict tensor categories.  This is joint work with Ruibin Zhang.


If you are registered you may mark the scnews item as read.
School members may try to .