Research Article

Determination of the Characteristic Class Functions of the Weyl Group of type G2

Volume: 7 Number: 1 June 30, 2023
EN

Determination of the Characteristic Class Functions of the Weyl Group of type G2

Abstract

In this paper, our main objective is to combinatorially obtain all characteristic class functions of the Weyl group of type G2 with the help of the structure of generalized descent algebra including Solomon’s descent algebra and Mantaci-Reutenauer algebra. We also give an interpretation of the character table of the Weyl group of type G2 in terms of the permutation characters defined on the set of cosets belonging to each of its some special subgroups.

Keywords

References

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  6. [6] L. Solomon, A Mackey formula in the group ring of a Coxeter group, J. Algebra. 41(2) (1976) 255-264. DOI: https://doi.org/10.1016/0021-8693(76)90182-4
  7. [7] G. James, M. Liebeck, Representations and Characters of Groups, Cambridge: Cambridge University Press. (2001).

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Publication Date

June 30, 2023

Submission Date

November 20, 2022

Acceptance Date

December 7, 2022

Published in Issue

Year 1970 Volume: 7 Number: 1

APA
Arslan, H. (2023). Determination of the Characteristic Class Functions of the Weyl Group of type G2. Aksaray University Journal of Science and Engineering, 7(1), 1-5. https://doi.org/10.29002/asujse.1207235

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