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58981

THE BRAUER CHARACTERS AND THE CARTAN MATRIX FOR SL (2 , p)

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Last updated: 04 Jan 2025

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Abstract

One way to study the representation theory of a group is to get hold of the simple modules. Finding the multiplicities of these simple modules as composition factors of the principal indecomposable modules (PIM) is a step in this way. These multiplicities are the entries of the Cartan matrix. In this paper, we use the " Orthogonality Relation " (theorem 60.5 ,[12]) of the Brauer characters to get the inverse of the Cartan matrix for the finite Chevalley group of type A1(SL (2,p)) .

DOI

10.21608/amme.1986.58981

Authors

First Name

SAMY

Last Name

YEHIA

MiddleName

EL BADAWY

Affiliation

Military Technical College, Cairo,Egypt.

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Volume

2

Article Issue

2nd Conference on Applied Mechanical Engineering.

Related Issue

8659

Issue Date

1986-05-01

Receive Date

2019-11-14

Publish Date

1986-05-01

Page Start

149

Page End

158

Print ISSN

2636-4352

Online ISSN

2636-4360

Article File

AMME_Volume 2_Issue 2nd Conference on Applied Mechanical Engineering._Pages 149-….pdf

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Link

https://amme.journals.ekb.eg/article_58981.html

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https://amme.journals.ekb.eg/service?article_code=58981

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62

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Original Article

Type Code

831

Publication Type

Journal

Publication Title

The International Conference on Applied Mechanics and Mechanical Engineering

Publication Link

https://amme.journals.ekb.eg/

MainTitle

THE BRAUER CHARACTERS AND THE CARTAN MATRIX FOR SL (2 , p)

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Article

Created At

22 Jan 2023