S. Shpectorov

activity

20132026

most citedUniversal Axial Algebras and a Theorem of Sakuma

63 citations · 63 across the 6 of their papers we have counts for

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math.RA2026

Axial Algebras: Questions and Conjectures

I. Gorshkov, S. Shpectorov

Axial algebras are non-associative algebras generated by idempotents, called axes, whose adjoint action satisfies a fusion law. When this fusion law is graded, axes naturally lead…

math.RA2026

Radicals in primitive axial algebras

Andrey Mamontov, Sergey Shpectorov, Victor Zhelyabin

The paper contributes to the structure theory of primitive axial algebras. For a primitive axial algebra $A$ with a Frobenius form we compare the largest ideal $R (A)$ not containin…

math.RA2026

Full automorphism groups of the axial algebra for $M_{11}$ and related algebras

Tendai M. Mudziiri Shumba, Sergey Shpectorov

In this paper, in continuation of arXiv:2311.18538, we compute the full automorphism groups of the 286-dimensional algebra for $M_{11}$ , its subalgebras and other related algebras.…

Axial Algebras: Questions and Conjectures

Radicals in primitive axial algebras

Full automorphism groups of the axial algebra for M11​ and related algebras

Full automorphism groups of the axial algebra for $M_{11}$ and related algebras