Abstract
Let G be a semisimple simply connected algebraic group over C of exceptional type. For each G-equivariant nilpotent cover of a nilpotent coadjoint G-orbit O, we determine the unique birationally rigid induction datum from which it is birationally induced.
| Original language | English |
|---|---|
| Pages (from-to) | 365-435 |
| Number of pages | 71 |
| Journal | Journal of Algebra |
| Volume | 701 |
| Early online date | 23 Apr 2026 |
| DOIs | |
| Publication status | E-pub ahead of print - 23 Apr 2026 |
Data Availability Statement
No data was used for the research described in the article.Acknowledgements
The author would like to thank Simon Goodwin, Lucas Mason-Brown and Lewis Topley for discussions which were helpful for this paper, and would also like to thank the referee for their incredibly helpful comments on a previous version of this paper – particularly for explaining how the arguments in Section 3 should work. The author was supported during this research by a research fellowship from the Royal Commission for the Exhibition of 1851, and during edits as a postdoctoral researcher on a UKRI Future Leaders Fellowship, grant number MR/Z000394/1.Funding
The author was supported during this research by a research fellowship from the Royal Commission for the Exhibition of 1851, and during edits as a postdoctoral researcher on a UKRI Future Leaders Fellowship, grant number MR/Z000394/1.
| Funders | Funder number |
|---|---|
| Royal Commission for the Exhibition of 1851 | |
| UKRI FLF programme | MR/Z000394/1 |
Keywords
- Birational induction
- Lie algebras
- Lusztig-Spaltenstein induction
- Nilpotent covers
- Nilpotent orbits
ASJC Scopus subject areas
- Algebra and Number Theory
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