Abstract
This paper extends a result of James to a combinatorial condition on partitions for the corresponding Specht module to have a summand isomorphic to the unique one-dimensional -module over fields of characteristic 2. The work makes use of a recursively defined condition to reprove a result of Murphy and prove a new result for self-conjugate partitions. Finally we present a Python script which utilizes this work to test Specht modules for a one-dimensional summand.
Citation
Aubrey Piper Collins. Craig J. Dodge. "On the classification of Specht modules with one-dimensional summands." Involve 12 (8) 1399 - 1413, 2019. https://doi.org/10.2140/involve.2019.12.1399
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