Hook representations of the symmetric groups
1971 ◽
Vol 12
(2)
◽
pp. 136-149
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Keyword(s):
In this paper we are concerned with the representation theory of the symmetric groupsover a field K of characteristic p. Every field is a splitting field for the symmetric groups. Consequently, in order to study the modular representation theory of these groups, it is sufficient to work over the prime fields. However, we take K to be an arbitrary field of characteristic p, since the presentation of the results is not affected by this choice. Sn denotes the group of permutations of {x1, …, xn], where x1,…,xn are independent indeterminates over K. The group algebra of Sn with coefficients in K is denoted by Фn.
1990 ◽
Vol 23
(4)
◽
pp. 593-624
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1988 ◽
Vol 104
(2)
◽
pp. 207-213
◽
1992 ◽
Vol 329
(1)
◽
pp. 253-271
1998 ◽
pp. 177-198
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1991 ◽
Vol 43
(4)
◽
pp. 792-813
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1954 ◽
Vol 6
◽
pp. 486-497
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1996 ◽
Vol 120
(4)
◽
pp. 589-595