Equivalence Classes of Subquotients of Pseudodifferential Operator Modules on the Line
Description:
Certain subquotients of Vec(R)-modules of pseudodifferential operators from one tensor density module to another are categorized, giving necessary and sufficient conditions under which two such subquotients are equivalent as Vec(R)-representations. These subquotients split under the projective subalgebra, a copy of ????2, when the members of their composition series have distinct Casimir eigenvalues. Results were obtained using the explicit description of the action of Vec(R) with respect to th…
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Date:
August 2012
Creator:
Larsen, Jeannette M.