Irreducible Restrictions of Representations of the Symmetric Groups | Zendy

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Irreducible Restrictions of Representations of the Symmetric Groups

Author(s) -

Ford Ben

Publication year - 1995

Publication title -

bulletin of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.396

H-Index - 48

eISSN - 1469-2120

pISSN - 0024-6093

DOI - 10.1112/blms/27.5.453

Subject(s) - mathematics , algebraically closed field , conjecture , prime (order theory) , symmetric group , pure mathematics , representation theory of the symmetric group , field (mathematics) , irreducible representation , group (periodic table) , representation (politics) , combinatorics , algebra over a field , law , chemistry , organic chemistry , politics , political science

A proof is given of a recent conjecture of Jantzen and Seitz giving a necessary and sufficient condition for a representation of the symmetric group on n objects (over an algebraically closed field of prime characteristic p < n ) to remain irreducible upon restriction to the symmetric group on n −1 objects.

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