1 citations · 3 across the 3 of their papers we have counts for
5 papers
On the and Uncoloured Quantum Link Invariants
Sacha C. Blumen
Let be a link and its link invariant associated with the vector representation of the quantum (super)algebra . Let be the Kauffman link in…
The Birman-Wenzl-Murakami algebra, Hecke algebra and representations of U_{q}(osp(1|2n))
Sacha C. Blumen
A representation of the Birman-Wenzl-Murakami algebra BW_{t}(-q^{2n},q) exists in the centraliser algebra End_{U_q(osp(1|2n))}(V^{\otimes t}), where V is the fundamental (2n+1)-dim…
Quantum Superalgebras at Roots of Unity and Topological Invariants of Three-manifolds
Sacha C. Blumen
The general method of Reshetikhin and Turaev is followed to develop topological invariants of closed, connected, orientable 3-manifolds from a new class of algebras called pseudo-m…
Two generalisations of the Binomial theorem
Sacha C. Blumen
We prove two generalisations of the Binomial theorem that are also generalisations of the q-binomial theorem. These generalisations arise from the commutation relations satisfied b…
Topological invariants of three-manifolds from U_q(osp(1|2n))
Sacha Blumen
We create Resthetikhin-Turaev topological invariants of closed orientable three-manifolds from the quantum supergroup U_q(osp(1|2n)) at certain even roots of unity. To construct th…