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Cohomology of aff(1 vertical bar 1) acting on the space of n-ary linear differential operators on S-1 vertical bar 1
Journal article   Peer reviewed

Cohomology of aff(1 vertical bar 1) acting on the space of n-ary linear differential operators on S-1 vertical bar 1

Mabrouk Ben Ammar, Maha Boujelben, Amina Jabeur and Rabeb Sidaoui
Journal of algebra and its applications, Vol.19(2)
01/02/2020

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
Let F-mu be the space of mu-densities over S-1, we concpute the space H-diff(1)(aff(1);D-(lambda) under bar,D-mu) where (lambda) under bar = (lambda(1),...,lambda(n)) is an element of C-n and D-(lambda) under bar,D-mu is the space of n-ary linear differential operators from F-(lambda) under bar1 circle times center dot center dot center dot circle times F-(lambda) under barn to F-mu. We also compute the simplest super analog spaces H-diff(1)(aff(1 vertical bar 1)D-(lambda) under bar,D-mu).

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