Braid variety cluster structures, II: general type
Abstract We show that braid varieties for any complex simple algebraic group $G$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>G</mml:mi> </mml:math> are cluster varieties. This includes open Richardson varieties inside the flag variety $G/B$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>G</mml:mi> <mml:mo>/</mml:mo> <mml:mi>B</mml:mi> </mml:math> .
Authors
- Pavel Galashin (ORCID: https://orcid.org/0000-0002-8109-4496)
- Melissa Sherman-Bennett (ORCID: https://orcid.org/0000-0003-3351-8837)
- Thomas Lam
Institutions
- University of California, Los Angeles (US)
- University of Michigan (US)
- University of California, Davis (US)
Publication Details
- Journal
- Inventiones mathematicae
- Published
- 2025-11-20
- DOI
- https://doi.org/10.1007/s00222-025-01390-5
- Primary Topic
- Algebraic Geometry and Number Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00