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math.GR2021
Quasi-connected reductive groups
Mikhail Borovoi, Andrei A. Gornitskii, Zev Rosengarten
We introduce the notion of a quasi-connected reductive group over an arbitrary field to be an almost direct product of a connected semisimple group and a quasi-torus (a smooth grou…
math.AG2021
Moduli Spaces of Morphisms Into Solvable Algebraic Groups
Zev Rosengarten
We construct (in significant generality) moduli spaces representing the functor of morphisms from a scheme into a solvable algebraic group.
math.RT2021
Galois cohomology of real quasi-connected reductive groups
Mikhail Borovoi, Andrei A. Gornitskii, Zev Rosengarten
By a quasi-connected reductive group (a term of Labesse) over an arbitrary field we mean an almost direct product of a connected semisimple group and a quasi-torus (a smooth group…