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Let G = Sp2n  (ℂ) be the symplectic group, B be its Borel subgroup, and Φ = C  n  be the root system of G. To each involution σ in the Weyl group W of Φ, one can assign an orbit Ω σ  of the coadjoint action of B on the dual space of the Lie algebra of the unipotent radical of B. Let σ, τ be involutions in W. It is proved that Ω σ  is contained in the closure of Ω τ  if and only if σ is less than or equal to τ with respect to the Bruhat–Chevalley order on W. Bibliography: 15 titles.

The Bruhat−Chevalley Order on Involutions of the Hyperoctahedral Group and the Combinatorics of B-Orbit Closures