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Decomposable Specht
modules indexed by bihooks
Liron Speyer and Louise Sutton |
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Vol. 304 (2020), No. 2, 655–711
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Abstract |
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We study the decomposability of Specht modules labeled by bihooks, bipartitions with a hook in each component, for the Iwahori–Hecke algebra of type . In all characteristics, we determine a large family of decomposable Specht modules, and conjecture that these provide a complete list of decomposable Specht modules indexed by bihooks. We prove the conjecture for small . |
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Keywords
decomposable Specht modules, KLR algebras, quiver Hecke
algebras, Specht modules, Hecke algebras
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Mathematical Subject Classification 2010
Primary: 20C30, 20C08, 05E10
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Milestones
Received: 13 September 2018
Revised: 17 June 2019
Accepted: 21 June 2019
Published: 12 February 2020
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Authors |
| Liron Speyer | |
| Okinawa Institute of Science and
Technology Onna-son, Okinawa Japan |
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| Louise Sutton | |
| Department of Mathematics University of Manchester Manchester United Kingdom |
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