Pieri type rules and GL(2|2) tensor products
We derive a closed formula for the tensor product of a family of mixed tensors using Deligne’s interpolating category $\underline {Rep}(GL_{0})$. We use this formula to compute the tensor product of a family of irreducible GL(n|n)-representations. This includes the tensor product of any two maximal...
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
2021
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| In: |
Algebras and representation theory
Year: 2021, Volume: 24, Issue: 2, Pages: 425-451 |
| ISSN: | 1572-9079 |
| DOI: | 10.1007/s10468-020-09954-0 |
| Online Access: | Resolving-System, lizenzpflichtig, Volltext: https://doi.org/10.1007/s10468-020-09954-0 Verlag, lizenzpflichtig, Volltext: https://link.springer.com/article/10.1007/s10468-020-09954-0 
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| Author Notes: | Thorsten Heidersdorf, Rainer Weissauer |
| Summary: | We derive a closed formula for the tensor product of a family of mixed tensors using Deligne’s interpolating category $\underline {Rep}(GL_{0})$. We use this formula to compute the tensor product of a family of irreducible GL(n|n)-representations. This includes the tensor product of any two maximal atypical irreducible representations of GL(2|2). |
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| Item Description: | Published online: 19 March 2020 Gesehen am 22.06.2021 |
| Physical Description: | Online Resource |
| ISSN: | 1572-9079 |
| DOI: | 10.1007/s10468-020-09954-0 |