Autor:	Galashin, Pavel, Lam, Thomas
Rok vydání:	2022
Předmět:	Mathematics - Representation Theory Mathematics - Algebraic Geometry Mathematics - Combinatorics Primary: 14M15. Secondary: 13F60
Druh dokumentu:	Working Paper
Popis:	We construct the twist automorphism of open Richardson varieties inside the flag variety of a complex semisimple algebraic group. We show that the twist map preserves totally positive parts, and prove a Chamber Ansatz formula for it. Our twist map generalizes the twist maps previously constructed by Berenstein-Fomin-Zelevinsky, Marsh-Scott, and Muller-Speyer. We use it to explain the relationship between the two conjectural cluster structures for Richardson varieties studied by Leclerc and by Ingermanson. Comment: 37 pages, 4 figures; v2: bibliography updates
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2204.05935 Zobrazit plný text záznamu View this record from Arxiv