Sergey Shpectorov

most citedPrimitive axial algebras of Jordan type

75 citations · 76 across the 4 of their papers we have counts for

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math.GR2016★ 1 cited

Classification of Curtis-Tits and Phan amalgams with $3$ -spherical diagram

Rieuwert J. Blok, Corneliu G. Hoffman, Sergey V. Shpectorov

We classify all non-collapsing Curtis-Tits and Phan amalgams with $3$ -spherical diagram over all fields. In particular, we show that amalgams with spherical diagram are unique, a r…

math.GR2016

Miyamoto involutions in axial algebras of Jordan type half

J. I. Hall, Y. Segev, S. Shpectorov

Nonassociative commutative algebras $A$ generated by idempotents $e$ whose adjoint operators $ad_{e} : A \to A$ , given by $x \mapsto x e$ , are diagonalizable and hav…

Classification of Curtis-Tits and Phan amalgams with 3-spherical diagram

Miyamoto involutions in axial algebras of Jordan type half

Classification of Curtis-Tits and Phan amalgams with $3$ -spherical diagram