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math.GR2023★ 1 cited
The mod 2 cohomology rings of the alternating subgroups of the Coxeter groups of Type B
Lorenzo Guerra, Santanil Jana
We show that the direct sum of the cohomology groups of the alternating subgroups of the family of Coxeter groups of Type B exhibits an almost-Hopf ring structure. We apply techniq…
math.AT2023
Cohomology of complete unordered flag manifolds
Lorenzo Guerra, Santanil Jana
We consider quotients of complete flag manifolds in Cn and Rn by an action of the symmetric group on n objects. We compute their cohomology with field coefficients of any character…
math.AT2023
The mod-2 cohomology groups of low-dimensional unordered flag manifolds and Auerbach bases
Lorenzo Guerra, Santanil Jana, Arun Maiti
Unordered flag manifolds are the manifolds of unordered -tuple of mutually orthogonal lines in . In this paper, we develop some basic tools to compute the mod-…