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- W1487715672 abstract "For a local field K and n ! 2, let ! n and n denote the a# ne buildings naturally associated to the special linear and symplectic groups SLn(K) and Spn(K), respectively. We relate the number of vertices in ! n (n ! 3) close (i.e., gallery distance 1) to a given vertex in ! n to the number of chambers in ! n containing the given vertex, proving a conjecture of Schwartz and Shemanske. We then consider the special vertices in n (n ! 2) close to a given special vertex in n (all the vertices in ! n are special) and establish analogues of our results for n." @default.
- W1487715672 created "2016-06-24" @default.
- W1487715672 creator A5066028338 @default.
- W1487715672 date "2005-11-22" @default.
- W1487715672 modified "2023-09-27" @default.
- W1487715672 title "Distance in the Affine Buildings of SL_n and Sp_n" @default.
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