A note on free divergence-free vector fields
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Acceso en línea: | |
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| _version_ | 1866916081272094720 |
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| author | Ito, Hyuga Miyagawa, Akihiro |
| author_facet | Ito, Hyuga Miyagawa, Akihiro |
| contents | We exhibit an orthonormal basis of cyclic gradients and a (non-orthogonal) basis of the homogeneous free divergence-free vector field on the full Fock space and determine the dimension of Voiculescu's free divergence-free vector field of degree k or less. Moreover, we also give a concrete formula for the orthogonal projection onto the space of cyclic gradients as well as the free Leray projection. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_15550 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A note on free divergence-free vector fields Ito, Hyuga Miyagawa, Akihiro Operator Algebras Rings and Algebras We exhibit an orthonormal basis of cyclic gradients and a (non-orthogonal) basis of the homogeneous free divergence-free vector field on the full Fock space and determine the dimension of Voiculescu's free divergence-free vector field of degree k or less. Moreover, we also give a concrete formula for the orthogonal projection onto the space of cyclic gradients as well as the free Leray projection. |
| title | A note on free divergence-free vector fields |
| topic | Operator Algebras Rings and Algebras |
| url | https://arxiv.org/abs/2311.15550 |