Cordial elements and dimensions of affine Deligne–Lusztig varieties

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چکیده

Abstract The affine Deligne–Lusztig variety $X_w(b)$ in the flag of a reductive group ${\mathbf G}$ depends on two parameters: $\sigma $ -conjugacy class $[b]$ and element w Iwahori–Weyl $\tilde {W}$ . In this paper, for any given , we determine nonemptiness pattern dimension formula most $w \in \tilde

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ژورنال

عنوان ژورنال: Forum of Mathematics, Pi

سال: 2021

ISSN: ['2050-5086']

DOI: https://doi.org/10.1017/fmp.2021.10