From Weyl groups to semisimple groups
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2021
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| _version_ | 1866918145894121472 |
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| author | Lusztig, G. |
| author_facet | Lusztig, G. |
| contents | In this (partly expository) paper we show, using ideas from the theory of total positivity, how a number of properties of a semisimple group over the complex numbers can be presented purely in terms of the Weyl group. We also describe some new connections of the theory of canonical bases with total positivity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2112_03861 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | From Weyl groups to semisimple groups Lusztig, G. Representation Theory In this (partly expository) paper we show, using ideas from the theory of total positivity, how a number of properties of a semisimple group over the complex numbers can be presented purely in terms of the Weyl group. We also describe some new connections of the theory of canonical bases with total positivity. |
| title | From Weyl groups to semisimple groups |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2112.03861 |