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math.GR2013
Algebras of conjugacy classes of partial elements
Andrei V. Alexeevski, Sergey M. Natanzon
In 2001 Ivanov and Kerov associated with the infinite permutation group certain commutative associative algebra called the algebra of conjugacy classes of par…
math.CO2013★ 5 cited
Symmetric solutions to dispersionless 2D Toda hierarchy, Hurwitz numbers and conformal dynamics
S. M. Natanzon, A. V. Zabrodin
We explicitly construct the series expansion for a certain class of solutions to the 2D Toda hierarchy in the zero dispersion limit, which we call symmetric solutions. We express t…