On components of the tensor square of a Weyl module
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866911747996123136 |
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| author | Gao, Shiliang Wang, Dinglong |
| author_facet | Gao, Shiliang Wang, Dinglong |
| contents | For a simple Lie algebra $\mathfrak{g}$ of type $A_n,B_n,C_n$ or $D_n$, we give a characterization of the set of dominant integral weights $λ$ such that for any rational point $μ$ in the fundamental Weyl chamber, $2λ-μ$ is a non-negative rational combination of the simple roots if and only if $V_{mμ}\subseteq V_{mλ}\otimes V_{mλ}$ for some positive integer $m$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_12756 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On components of the tensor square of a Weyl module Gao, Shiliang Wang, Dinglong Representation Theory Combinatorics For a simple Lie algebra $\mathfrak{g}$ of type $A_n,B_n,C_n$ or $D_n$, we give a characterization of the set of dominant integral weights $λ$ such that for any rational point $μ$ in the fundamental Weyl chamber, $2λ-μ$ is a non-negative rational combination of the simple roots if and only if $V_{mμ}\subseteq V_{mλ}\otimes V_{mλ}$ for some positive integer $m$. |
| title | On components of the tensor square of a Weyl module |
| topic | Representation Theory Combinatorics |
| url | https://arxiv.org/abs/2312.12756 |