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The algebra of integro-differential operators on an affine line and its modules
algebra integro-differential operators affine line
2010/11/19
For the algebra $\mI_1= K\langle x, \frac{d}{dx}, \int \rangle$ of polynomial integro-differential operators over a field $K$ of characteristic zero, a classification of simple modules is given. It i...
Arithmetic properties of centralizers of diffeomorphisms of the half-line
Arithmetic properties centralizers diffeomorphisms
2010/11/22
Let f be a smooth diffeomorphism of the half-line fixing only the origin and Z^r_f its centralizer in the group of C^r diffeomorphisms. According to well-known results of Szekeres and Kopell, Z^1_f i...