Representation Theory of Groups and D-Modules

In this paper, we study a decomposition D-module structure of the polynomial ring. Then, we illustrate a geometric interpretation of the Specht polynomials. Using Brauer’s characterization, we give a partial generalization of the fact that factors of the discriminant of a finite map π:specB⟶specA ge...

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Bibliographic Details
Main Author: Ibrahim Nonkané
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2021/6613869
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Summary:In this paper, we study a decomposition D-module structure of the polynomial ring. Then, we illustrate a geometric interpretation of the Specht polynomials. Using Brauer’s characterization, we give a partial generalization of the fact that factors of the discriminant of a finite map π:specB⟶specA generate the irreducible factors of the direct image of B under the map π.
ISSN:0161-1712
1687-0425