University of Birmingham > Talks@bham > Algebra Seminar > Universal K-matrix for quantum symmetric pairs

## Universal K-matrix for quantum symmetric pairsAdd to your list(s) Download to your calendar using vCal - Stefan Kolb, University of Newcastle
- Thursday 05 November 2015, 16:00-17:00
- Watson Building, Lecture Room A.
If you have a question about this talk, please contact David Craven. Quantum groups provide a uniform setting for solutions of the quantum Yang-Baxter equation, which in turn leads to representations of the classical braid group in finitely many strands. Underlying this construction is the fact that the finite dimensional representations of a quantum group form a braided tensor category. In a program to extend this construction to braid groups of type B, the topologist Tammo tom Dieck studied braids in a cylinder with one fixed axis. In the late 90s he introduced the notion of a braided tensor category with a cylinder twist which extends the categorical framework from type A to type B. However, only very few examples were known. In this talk I will explain the above notions. I will then indicate how the theory of quantum symmetric pairs provides a large class of examples for tom Dieck’s theory. The construction builds on a program of canonical basis for quantum symmetric pairs initiated by H. Bao & W. Wang and related work by M. Ehrig & C. Stroppel. The new results in this talk are joint work with Martina Balagovic. This talk is part of the Algebra Seminar series. ## This talk is included in these lists:Note that ex-directory lists are not shown. |
## Other listsMathematics Colloquium Computer Science Departmental Series Algebra Reading Group on Sporadic Groups## Other talksAttacking and Defending Cloud Networks Rage against the dying of the light: Type Ia supernovae at 1000 days and beyond Accurate and efficient numerical methods for molecular dynamics and data science using adaptive thermostats Hydrodynamics and Chaos in Quantum Matter Sublattice Groups First and second order shape optimization based on restricted mesh deformations |