
School of Mathematics and Statistics
Sacha Blumen
University of Sydney
Representations of quantum osp(12) at roots of 1 and an
application to threemanifold invariants.
Friday 25th August, 121pm, Carslaw 275.
In this talk I will describe a recent result giving the decomposition
of the tensor product of two irreducible representations of
the quantum superalgebra osp(12) at roots of 1 and
describe an application of this result to topological invariants
of threemanifolds. The decomposition is the first for any quantum
superalgebra at a root of unity and means that at roots of unity
quantum osp(12) is an `almost modular Hopf superalgebra': a slightly
weakened (and supersymmetric) version of Reshetikhin and Turaev's
`modular Hopf algebras', used to create invariants of threemanifolds.
