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The Algebra of Polynomial Integro-Differential Operators is a Holonomic Bimodule over the Subalgebra of Polynomial Differential Operators

✍ Scribed by Bavula, V. V.

Book ID
121559710
Publisher
Springer Netherlands
Year
2013
Tongue
English
Weight
457 KB
Volume
17
Category
Article
ISSN
1386-923X

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We prove that the scalar and 2 = 2 matrix differential operators which preserve the simplest scalar and vector-valued polynomial modules in two variables have a fundamental Lie algebraic structure. Our approach is based on a general graphical method which does not require the modules to be irreducib