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The p ‐Modular Descent Algebra of the Symmetric Group
Author(s) -
Atkinson M. D.,
Van Willigenburg S. J.
Publication year - 1997
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/s0024609396002858
Subject(s) - mathematics , descent (aeronautics) , symmetric group , group algebra , homomorphism , algebra over a field , group (periodic table) , mathematics subject classification , field (mathematics) , pure mathematics , symmetric algebra , cellular algebra , algebra representation , chemistry , organic chemistry , engineering , aerospace engineering
The descent algebra of the symmetric group, over a field of non‐zero characteristic p , is studied. A homomorphism into the algebra of generalised p ‐modular characters of the symmetric group is defined. This is then used to determine the radical, and its nilpotency index. It also allows the irreducible representations of the descent algebra to be described. 1991 Mathematics Subject Classification 20F32.