Steinberg slices and group-valued moment maps

Autor:	Balibanu, Ana
Rok vydání:	2021
Předmět:	Mathematics - Representation Theory Mathematics - Algebraic Geometry Mathematics - Symplectic Geometry
Druh dokumentu:	Working Paper
Popis:	We define a class of transversal slices in spaces which are quasi-Poisson for the action of a complex semisimple group G. This is a multiplicative analogue of Whittaker reduction. One example is the multiplicative universal centralizer of G, which is equipped with the usual symplectic structure in this way. We construct a smooth relative compactification by taking the closure of each centralizer fiber in the wonderful compactification of G. By realizing this partial compactification as a transversal in a larger quasi-Poisson variety, we show that it is smooth and log-symplectic. Comment: v3: Final version. v2: Small improvement to main theorem, minor revisions for clarity
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2103.14704 Zobrazit plný text záznamu View this record from Arxiv