Year 2019, Volume 6 , Issue 2, Pages 53 - 62 2019-05-07

Some explicit expressions for the structure coefficients of the center of the symmetric group algebra involving cycles of length three

Omar TOUT [1]


We use the combinatorial way to give an explicit expression for the product of the class of cycles of length three with an arbitrary class of cycles. In addition, an explicit formula for the coefficient of an arbitrary class in the expansion of the product of an arbitrary class by the class of cycles of length three is given.

The center of the symmetric group algebra, Structure coefficients, Product of conjugacy classes of the symmetric group, Representation theory of the symmetric group
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Primary Language en
Subjects Engineering
Journal Section Articles
Authors

Orcid: 0000-0003-0963-9639
Author: Omar TOUT

Dates

Publication Date : May 7, 2019

Bibtex @research article { jacodesmath560404, journal = {Journal of Algebra Combinatorics Discrete Structures and Applications}, issn = {}, eissn = {2148-838X}, address = {}, publisher = {Yildiz Technical University}, year = {2019}, volume = {6}, pages = {53 - 62}, doi = {10.13069/jacodesmath.560404}, title = {Some explicit expressions for the structure coefficients of the center of the symmetric group algebra involving cycles of length three}, key = {cite}, author = {Tout, Omar} }
APA Tout, O . (2019). Some explicit expressions for the structure coefficients of the center of the symmetric group algebra involving cycles of length three . Journal of Algebra Combinatorics Discrete Structures and Applications , 6 (2) , 53-62 . DOI: 10.13069/jacodesmath.560404
MLA Tout, O . "Some explicit expressions for the structure coefficients of the center of the symmetric group algebra involving cycles of length three" . Journal of Algebra Combinatorics Discrete Structures and Applications 6 (2019 ): 53-62 <https://dergipark.org.tr/en/pub/jacodesmath/issue/45030/560404>
Chicago Tout, O . "Some explicit expressions for the structure coefficients of the center of the symmetric group algebra involving cycles of length three". Journal of Algebra Combinatorics Discrete Structures and Applications 6 (2019 ): 53-62
RIS TY - JOUR T1 - Some explicit expressions for the structure coefficients of the center of the symmetric group algebra involving cycles of length three AU - Omar Tout Y1 - 2019 PY - 2019 N1 - doi: 10.13069/jacodesmath.560404 DO - 10.13069/jacodesmath.560404 T2 - Journal of Algebra Combinatorics Discrete Structures and Applications JF - Journal JO - JOR SP - 53 EP - 62 VL - 6 IS - 2 SN - -2148-838X M3 - doi: 10.13069/jacodesmath.560404 UR - https://doi.org/10.13069/jacodesmath.560404 Y2 - 2019 ER -
EndNote %0 Journal of Algebra Combinatorics Discrete Structures and Applications Some explicit expressions for the structure coefficients of the center of the symmetric group algebra involving cycles of length three %A Omar Tout %T Some explicit expressions for the structure coefficients of the center of the symmetric group algebra involving cycles of length three %D 2019 %J Journal of Algebra Combinatorics Discrete Structures and Applications %P -2148-838X %V 6 %N 2 %R doi: 10.13069/jacodesmath.560404 %U 10.13069/jacodesmath.560404
ISNAD Tout, Omar . "Some explicit expressions for the structure coefficients of the center of the symmetric group algebra involving cycles of length three". Journal of Algebra Combinatorics Discrete Structures and Applications 6 / 2 (May 2019): 53-62 . https://doi.org/10.13069/jacodesmath.560404
AMA Tout O . Some explicit expressions for the structure coefficients of the center of the symmetric group algebra involving cycles of length three. Journal of Algebra Combinatorics Discrete Structures and Applications. 2019; 6(2): 53-62.
Vancouver Tout O . Some explicit expressions for the structure coefficients of the center of the symmetric group algebra involving cycles of length three. Journal of Algebra Combinatorics Discrete Structures and Applications. 2019; 6(2): 53-62.