Some calculations of the Lusztig–Vogan bijection for classical nilpotent orbits
Autor: | Kayue Daniel Wong |
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Rok vydání: | 2017 |
Předmět: |
Pure mathematics
Algebra and Number Theory Conjecture Quantization (signal processing) 010102 general mathematics 01 natural sciences Mathematics::Group Theory Nilpotent 0103 physical sciences Bijection Orbit method 010307 mathematical physics 0101 mathematics Mathematics::Representation Theory Mathematics |
Zdroj: | Journal of Algebra. 487:317-339 |
ISSN: | 0021-8693 |
DOI: | 10.1016/j.jalgebra.2017.04.031 |
Popis: | In this manuscript, we compute explicitly the Lusztig–Vogan bijection for local systems of some classical, special, nilpotent orbits. Using these results, we prove a conjecture of Achar and Sommers on regular functions of some covers of classical nilpotent orbits. |
Databáze: | OpenAIRE |
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