Algebra of differential operators associated with Young diagrams

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 co...

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Bibliographic Details

Published in:	arXiv.org
Main Authors:	Mironov, A, Morozov, A, Natanzon, S
Format:	Paper
Language:	English
Published:	Ithaca Cornell University Library, arXiv.org 02.12.2010
Subjects:	Algebra Differential equations Eigenvalues Eigenvectors Mathematical analysis Number theory Operators (mathematics) Permutations
ISSN:	2331-8422
Online Access:	Get full text
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