3 papers
math.RT2025
Around the center
Maria Gorelik, Vladimir Hinich, Vera Serganova
The center of a semisimple Lie algebra can be described as the algebra of W-invariant functions on the dual of the Cartan subalgebra. The centers of many Lie superalgebras have a s…
math.NT2025
Galois cohomology of reductive groups over global fields
Mikhail Borovoi, Tasho Kaletha, Vladimir Hinich
We give closed formulas for the abelian Galois cohomology groups H^1_{ab}(F,G) and H^2_{ab}(F,G) of a connected reductive group G over a global field F in terms of the algebraic fu…
math.RT2024
Matsumoto theorem for skeleta
Maria Gorelik, Vladimir Hinich, Vera Serganova
We present a proof of a generalization of the theorem of H.~Matsumoto on Coxeter groups. Our generalized version is applicable to "graphs admitting geometric realization". The orig…