Supports of simple modules in cyclotomic Cherednik categories O
| Autor: | Ivan Losev |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Pure mathematics
General Mathematics 010102 general mathematics 01 natural sciences Action (physics) Fock space Set (abstract data type) Crystal (programming language) 0103 physical sciences 010307 mathematical physics 0101 mathematics Algebra over a field Bijection injection and surjection Simple module Mathematics |
| Zdroj: | Advances in Mathematics. 377:107491 |
| ISSN: | 0001-8708 |
| DOI: | 10.1016/j.aim.2020.107491 |
| Popis: | The goal of this paper is to compute the supports of simple modules in the categories O for the rational Cherednik algebras associated to groups G ( l , 1 , n ) . For this we compute some combinatorial maps on the set of simples: wall-crossing bijections and a certain sl ∞ -crystal associated to a Heisenberg algebra action on a Fock space. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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