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An analogue of the Harer-Zagier formula for unicellular maps on general surfaces
the Harer-Zagier formula unicellular maps on general surfaces
2010/11/15
A unicellular map is the embedding of a connected graph in a surface in such a way that the complement of the graph is simply connected. In a famous article, Harer and Zagier established a formula fo...
An analogue of the Conjecture of Dixmier is true for the algebra of polynomial integro-differential operators
Conjecture algebra polynomial integro-differential operators
2010/11/19
Let $A_1:=K\langle x, \frac{d}{dx} \rangle$ be the Weyl algebra and $\mI_1:= K\langle x, \frac{d}{dx}, \int \rangle$ be the algebra of polynomial integro-differential operators over a field $K$ of cha...
Analogue of the Duistermaat-van der Kallen Theorem for Group Algebras
Duistermaat-van der Kallen Theorem Mathieu subspaces
2010/12/14
Let G be a group, R an integral domain, and VG the R-subspace of the group algebra R[G] consisting of all the elements of R[G] whose coefficient of the identity element 1G of G is equal to zero.