On homomorphisms involving a hook Weyl module
| Autor: | Mihalis Maliakas, Dimitra-Dionysia Stergiopoulou |
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| Rok vydání: | 2020 |
| Předmět: |
20G05
Pure mathematics Algebra and Number Theory Infinite field Mathematics::Combinatorics Hook Weyl module 010102 general mathematics Type (model theory) 01 natural sciences 0103 physical sciences FOS: Mathematics Homomorphism 010307 mathematical physics 0101 mathematics Algebraic number Representation Theory (math.RT) Mathematics::Representation Theory Mathematics - Representation Theory Mathematics |
| DOI: | 10.48550/arxiv.2006.15063 |
| Popis: | Let $k$ be an infinite field of positive characteristic. We determine all homomorphisms between Weyl modules for $GLn(k)$, where one of the partitions is a hook. As a consequence we obtain a nonvanishing result concerning homomorphisms between Weyl modules for algebraic groups of type B, C and D when one of the partitions is a hook. Comment: Updated with reviewers' suggestions. Subsection 3.2 was added. Minor corrections. To appear in J. Algebra |
| Databáze: | OpenAIRE |
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