TY - JOUR
T1 - Some explicit expressions for the structure coefficients of the center of the symmetric group algebra involving cycles of length three
AU - Tout, Omar
N1 - Publisher Copyright:
© 2019, Jacodesmath Institute. All rights reserved.
PY - 2019
Y1 - 2019
N2 - 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.
AB - 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.
KW - Product of conjugacy classes of the symmetric group
KW - Representation theory of the symmetric group
KW - Structure coefficients
KW - The center of the symmetric group algebra
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U2 - 10.13069/jacodesmath.560404
DO - 10.13069/jacodesmath.560404
M3 - Article
AN - SCOPUS:85068878780
SN - 2148-838X
VL - 6
SP - 53
EP - 62
JO - Journal of Algebra Combinatorics Discrete Structures and Applications
JF - Journal of Algebra Combinatorics Discrete Structures and Applications
IS - 2
ER -