Characteristic Classes Of Representations Of Lie Groups
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Acceso en línea: | |
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| _version_ | 1866911416462606336 |
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| author | Joshi, Rohit Spallone, Steven |
| author_facet | Joshi, Rohit Spallone, Steven |
| contents | An irreducible representation of a reductive Lie algebra, when restricted to a Cartan subalgebra, decomposes into weights with multiplicity. The first part of this paper outlines a procedure to compute symmetric polynomials (e.g., power sums) of this multiset of weights, as functions of the highest weight. Next, let G be a connected reductive complex algebraic group with maximal torus T. We express the restrictions of the Chern classes of irreducible representations of G to T, as polynomial functions in the highest weight. We do the same for Stiefel-Whitney classes of orthogonal representations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_02145 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Characteristic Classes Of Representations Of Lie Groups Joshi, Rohit Spallone, Steven Representation Theory Differential Geometry 20G20, 55R40, 05E05 An irreducible representation of a reductive Lie algebra, when restricted to a Cartan subalgebra, decomposes into weights with multiplicity. The first part of this paper outlines a procedure to compute symmetric polynomials (e.g., power sums) of this multiset of weights, as functions of the highest weight. Next, let G be a connected reductive complex algebraic group with maximal torus T. We express the restrictions of the Chern classes of irreducible representations of G to T, as polynomial functions in the highest weight. We do the same for Stiefel-Whitney classes of orthogonal representations. |
| title | Characteristic Classes Of Representations Of Lie Groups |
| topic | Representation Theory Differential Geometry 20G20, 55R40, 05E05 |
| url | https://arxiv.org/abs/2602.02145 |