event
Thursday 10 Oct 2019: Pure Mathematics Seminar: New families of axial algebras of Monster type
Prof. Sergey Shpectorov - University of Birmingham
H103 14:30-16:30
The class of axial algebras is a broad generalisation
of Jordan algebras and the 196884-dimensional Griess
algebra which was used to construct the Monster, the
largest sporadic simple group. Instead of polylinear
identities, such as the Jacobi or Jordan identity, axial algebras
are governed by fusion rules limiting products of eigenvectors
with respect to special idempotents called axes.
Until recently, the Griess algebra, its subalgebras and a small
number of individually computed algebras were the only known
axial algebras with Monster fusion rules. After explaining the
basics of the axial algebras paradigm and its connections to physics
and analysis, we will focus on the double axis construction which
leads to a rich family of examples of algebras of Monster type.
