75 citations · 76 across the 4 of their papers we have counts for
4 papers
Classification of Curtis-Tits and Phan amalgams with -spherical diagram
Rieuwert J. Blok, Corneliu G. Hoffman, Sergey V. Shpectorov
We classify all non-collapsing Curtis-Tits and Phan amalgams with -spherical diagram over all fields. In particular, we show that amalgams with spherical diagram are unique, a r…
Miyamoto involutions in axial algebras of Jordan type half
J. I. Hall, Y. Segev, S. Shpectorov
Nonassociative commutative algebras generated by idempotents whose adjoint operators , given by , are diagonalizable and hav…
Recovering the Lie algebra from its extremal geometry
Hans Cuypers, Kieran Roberts, Sergey Shpectorov
An element of a Lie algebra over the field is extremal if . Under minor assumptions, it is known that, for a simple Lie algebra , the extremal geometry…
Primitive axial algebras of Jordan type
J I Hall, F Rehren, S Shpectorov
An axial algebra over the field is a commutative algebra generated by idempotents whose adjoint action has multiplicity-free minimal polynomial. For semisimple associat…