$\vec{w}h\alpha\mathfrak{t}\;\; i\mathbb{S}\ldots$

$SU(2)$ and why does it double-cover $SO(3)$?

Florian Frick (TU Berlin)
Urania Berlin, at the BMS Loft (3rd floor)
About what?

We will investigate the relationship between rotations in vector spaces of dimension at most four and multiplication of complex numbers or quaternions. We will see that complex unitary 2-by-2 matrices with determinant one, which is a subgroup of isometries of a complex two-dimensional vector space, and rotations of three-dimensional Euclidean space are closely related.