Invariant Spinors on Flag Manifolds
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916955756167168 |
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| author | Artacho, Diego Semmelmann, Uwe |
| author_facet | Artacho, Diego Semmelmann, Uwe |
| contents | In this note, we characterise the existence of non-trivial invariant spinors on maximal flag manifolds associated to complex simple Lie algebras. This characterisation is based on the combinatorial properties of their set of positive roots. We also give some bounds for the dimension of the space of invariant spinors in each case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_08493 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Invariant Spinors on Flag Manifolds Artacho, Diego Semmelmann, Uwe Differential Geometry Representation Theory 53C27, 15A66 In this note, we characterise the existence of non-trivial invariant spinors on maximal flag manifolds associated to complex simple Lie algebras. This characterisation is based on the combinatorial properties of their set of positive roots. We also give some bounds for the dimension of the space of invariant spinors in each case. |
| title | Invariant Spinors on Flag Manifolds |
| topic | Differential Geometry Representation Theory 53C27, 15A66 |
| url | https://arxiv.org/abs/2407.08493 |