Representation Theory of Groups and  D -Modules | Zendy

Ibrahim kané | Zendy

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Representation Theory of Groups and

D

-Modules

Author(s) -

Ibrahim kané

Publication year - 2021

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2021/6613869

Subject(s) - mathematics , generalization , discriminant , interpretation (philosophy) , algebra over a field , combinatorics , discrete mathematics , pure mathematics , artificial intelligence , computer science , mathematical analysis , programming language

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 : spec B ⟶ spec A generate the irreducible factors of the direct image of B under the map π .

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