{"product_id":"dimensions-of-affine-delignelusztig-varieties-a-new-approach-via-labeled-folded-alcove-walks-and-root-operators-9781470436766","title":"Dimensions of Affine DeligneLusztig Varieties A","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eLet $G$ be a reductive group over the field $F=k((t))$, where $k$ is an algebraic closure of a finite field, and let $W$ be the (extended) affine Weyl group of $G$. The associated affine Deligne-Lusztig varieties $X_x(b)$, which are indexed by elements $b \\in G(F)$ and $x \\in W$, were introduced by Rapoport.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cul\u003e\n\u003cli\u003eIntroduction\u003c\/li\u003e\n\u003cli\u003ePreliminaries on Weyl groups, affine buildings, and related notions\u003c\/li\u003e\n\u003cli\u003eLabelings and orientations, galleries, and alcove walks\u003c\/li\u003e\n\u003cli\u003eDimensions of galleries and root operators\u003c\/li\u003e\n\u003cli\u003eAffine Deligne-Lusztig varieties and folded galleries\u003c\/li\u003e\n\u003cli\u003eExplicit constructions of positively folded galleries\u003c\/li\u003e\n\u003cli\u003eThe varieties $X_x(1)$ in the shrunken dominant Weyl chamber\u003c\/li\u003e\n\u003cli\u003eThe varieties $X_x(1)$ and $X_x(b)$\u003c\/li\u003e\n\u003cli\u003eConjugating to other Weyl chambers\u003c\/li\u003e\n\u003cli\u003eDiagram automorphisms\u003c\/li\u003e\n\u003cli\u003eApplications to affine Hecke algebras and affine reflection length\u003c\/li\u003e\n\u003cli\u003eBibliography.\u003c\/li\u003e\n\u003cli\u003e\u003cul\u003e\u003c\/ul\u003e\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"MP-AMM American Mathematical","offers":[{"title":"Default Title","offer_id":51040116408663,"sku":"9781470436766","price":64.8,"currency_code":"GBP","in_stock":false}],"url":"https:\/\/bookcurl.com\/products\/dimensions-of-affine-delignelusztig-varieties-a-new-approach-via-labeled-folded-alcove-walks-and-root-operators-9781470436766","provider":"Book Curl","version":"1.0","type":"link"}