On the Schwartz estimate for Hodge Laplacians on semisimple Lie groups
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866914777165463552 |
|---|---|
| author | Han, Zhicheng |
| author_facet | Han, Zhicheng |
| contents | In this paper, we prove Schwartz estimates for Hodge Laplacian and Dirac operators on semisimple Lie groups. Alongside, we gives a version of Kuga lemma for its Lie algebra cohomology. This is a generalization of similar results on symmetric spaces. The main purpose of such estimates is to study the heat problem not only in the scalar case, but also for sections of vector bundles on homogeneous spaces using Fourier analysis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_19091 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Schwartz estimate for Hodge Laplacians on semisimple Lie groups Han, Zhicheng Differential Geometry Operator Algebras Representation Theory In this paper, we prove Schwartz estimates for Hodge Laplacian and Dirac operators on semisimple Lie groups. Alongside, we gives a version of Kuga lemma for its Lie algebra cohomology. This is a generalization of similar results on symmetric spaces. The main purpose of such estimates is to study the heat problem not only in the scalar case, but also for sections of vector bundles on homogeneous spaces using Fourier analysis. |
| title | On the Schwartz estimate for Hodge Laplacians on semisimple Lie groups |
| topic | Differential Geometry Operator Algebras Representation Theory |
| url | https://arxiv.org/abs/2404.19091 |