Research Article

On the inequivalence and standard basis of the specht modules of the hyperoctahedral groups

Volume: 47 January 1, 1998
  • H. Can
EN

On the inequivalence and standard basis of the specht modules of the hyperoctahedral groups

Abstract

The representations of the hyperoctahedral groups has been studied by many authors, see for example Al-Aamily, Morris and Peel and Morris. The latter author has interpreted the work of the first three authors in the combinatorial language used in the representation theory of the symmetric groups, but a work on the inequivalence and Standard basis of the Specht modules of has not yet appeared in the literatüre. Therefore, in this paper we show that Specht modules of the hyperoctahedral groups are mutually non-isomorphic and determine the Standard basis of the Specht modules.

Keywords

References

  1. Ankara Üniversitesi – Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Dergisi

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

H. Can This is me
Türkiye

Publication Date

January 1, 1998

Submission Date

January 1, 1998

Acceptance Date

-

Published in Issue

Year 1970 Volume: 47

APA
Can, H. (1998). On the inequivalence and standard basis of the specht modules of the hyperoctahedral groups. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 47. https://doi.org/10.1501/Commua1_0000000413
AMA
1.Can H. On the inequivalence and standard basis of the specht modules of the hyperoctahedral groups. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1998;47. doi:10.1501/Commua1_0000000413
Chicago
Can, H. 1998. “On the Inequivalence and Standard Basis of the Specht Modules of the Hyperoctahedral Groups”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 47 (January). https://doi.org/10.1501/Commua1_0000000413.
EndNote
Can H (January 1, 1998) On the inequivalence and standard basis of the specht modules of the hyperoctahedral groups. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 47
IEEE
[1]H. Can, “On the inequivalence and standard basis of the specht modules of the hyperoctahedral groups”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 47, Jan. 1998, doi: 10.1501/Commua1_0000000413.
ISNAD
Can, H. “On the Inequivalence and Standard Basis of the Specht Modules of the Hyperoctahedral Groups”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 47 (January 1, 1998). https://doi.org/10.1501/Commua1_0000000413.
JAMA
1.Can H. On the inequivalence and standard basis of the specht modules of the hyperoctahedral groups. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1998;47. doi:10.1501/Commua1_0000000413.
MLA
Can, H. “On the Inequivalence and Standard Basis of the Specht Modules of the Hyperoctahedral Groups”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 47, Jan. 1998, doi:10.1501/Commua1_0000000413.
Vancouver
1.H. Can. On the inequivalence and standard basis of the specht modules of the hyperoctahedral groups. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1998 Jan. 1;47. doi:10.1501/Commua1_0000000413

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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