Averages and the q,1 cohomology of heisenberg groups

HIGHLIGHTS

• who: Pierre Pansu& Francesca Tripaldi from the FranceFrance France have published the research work: Averages and the q,1 cohomology of Heisenberg groups, in the Journal: (JOURNAL)

SUMMARY

Note that an dx1 ∧· · ·∧dxn=(-1)n-1 ω ∧ (dx1 ∧ · · · ∧ dxn-1 ). More generally, if G is a Lie group of dimension n, there is a pairing, the average pairing, between closed L 1 k-forms ω and closed left-invariant (n - k)-forms β, defined by ∫ (ω, β) 7→ ω ∧ β. If µ0 > λ + 2 and µ and amp;lt; 1 - 2, the multiplication of ω by χ1 has no effect on the restriction . . .

 



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