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• W2111848388 abstract "We study the branching rules between K ( S p × S p ) and K S 2 p : that is we determine, in characteristic p for p odd, the Loewy structure of the principal block simple K ( S p × S p ) -modules induced to K S 2 p and the Loewy structure of the principal block simple K S 2 p -modules restricted to K ( S p × S p ) . In characteristic zero the answer follows easily from the Littlewood–Richardson rule, but in other characteristics the structure of the induced and restricted modules is not known. Kleshchev has obtained the simple module branching rules between K S n and K S n + 1 for any n and any field characteristic. We provide similar branching rules for our case." @default.
• W2111848388 created "2016-06-24" @default.
• W2111848388 creator A5043708494 @default.
• W2111848388 date "2010-03-01" @default.
• W2111848388 modified "2023-10-05" @default.
• W2111848388 title "Simple module branching rules for <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif overflow=scroll><mml:mi>K</mml:mi><mml:mo stretchy=false>(</mml:mo><mml:msub><mml:mi>S</mml:mi><mml:mi>p</mml:mi></mml:msub><mml:mo>×</mml:mo><mml:msub><mml:mi>S</mml:mi><mml:mi>p</mml:mi></mml:msub><mml:mo stretchy=false>)</mml:mo></mml:math> and <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si2.gif overflow=scroll><mml:mi>K</mml:mi><mml:msub><mml:mi>S</mml:mi…" @default.
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• W2111848388 doi "https://doi.org/10.1016/j.jalgebra.2009.11.042" @default.
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