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20002026
most citedGalois cohomology of reductive algebraic groups over the field of real numbers

17 citations · 63 across the 39 of their papers we have counts for

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math.RA2026

Constructing a complex Lie algebra isomorphic to its complex conjugate but not definable over reals

Mikhail Borovoi, Willem A. de Graaf, Robert M. Guralnick

Following an idea of Demarche and using computer calculations of the authors and ideas of the LLM Claude Fable 5, we construct an explicit 10-dimensional complex two-step nilpotent…

math.GR2026

Non-abelian hypercohomology of a group with coefficients in a crossed module, and Galois cohomology

Mikhail Borovoi

We develop a hypercohomology theory of a group with coefficients in a crossed module, and apply it to define abelianization maps for Galois cohomology of reductive algebraic groups…