Algebra of differential operators associated with Young diagrams

Citations of this article
Mendeley users who have this article in their library.


We establish a correspondence between Young diagrams and differential operators of infinitely many variables. These operators form a commutative associative algebra isomorphic to the algebra of the conjugated classes of finite permutations of the set of natural numbers. The Schur functions form a complete system of common eigenfunctions of these differential operators, and their eigenvalues are expressed through the characters of symmetric groups. The structure constants of the algebra are expressed through the Hurwitz numbers. © 2011.




Mironov, A., Morozov, A., & Natanzon, S. (2012). Algebra of differential operators associated with Young diagrams. Journal of Geometry and Physics, 62(2), 148–155.

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free