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Mathematical Sciences Seminar - Decomposable Specht modules

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Venue: Birkbeck Main Building, Malet Street

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The Specht modules are important modules defined for the symmetric group in any characteristic, and a great deal of effort is devoted to finding their structure. It is known that if the underlying characteristic is not 2, then all Specht modules are indecomposable. In characteristic 2 there are decomposable Specht modules, but examples are hard to find. I will report on recent joint work with Craig Dodge, in which we have found new examples of decomposable Specht modules. I will keep this talk elementary and it will be mostly background, with some hands-on calculation.

 

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