Dirac operators for algebraic families
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866914549968404480 |
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| author | Afentoulidis-Almpanis, Spyridon Subag, Eyal |
| author_facet | Afentoulidis-Almpanis, Spyridon Subag, Eyal |
| contents | We introduce algebraic families of Dirac operators for the deformation family (and other related families) associated with a real reductive Lie group that interpolates the reductive group and the corresponding Cartan motion group. We prove Vogan's conjecture in this setting, relating the infinitesimal character of an algebraic family of Harish-Chandra modules and its Dirac cohomology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_00547 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dirac operators for algebraic families Afentoulidis-Almpanis, Spyridon Subag, Eyal Representation Theory Rings and Algebras 22E47 (Primary), 17B10, 17B20, 14D99 (Secondary) We introduce algebraic families of Dirac operators for the deformation family (and other related families) associated with a real reductive Lie group that interpolates the reductive group and the corresponding Cartan motion group. We prove Vogan's conjecture in this setting, relating the infinitesimal character of an algebraic family of Harish-Chandra modules and its Dirac cohomology. |
| title | Dirac operators for algebraic families |
| topic | Representation Theory Rings and Algebras 22E47 (Primary), 17B10, 17B20, 14D99 (Secondary) |
| url | https://arxiv.org/abs/2508.00547 |