Open AccessOrthogonal Tits Quadrangles
Author(s) -
Bernhard Mühlherr,
Richard M. Weiss
Publication year - 2021
Publication title -
new zealand journal of mathematics
Language(s) - English
Resource type - Journals
eISSN - 1179-4984
pISSN - 1171-6096
DOI - 10.53733/105
Subject(s) - quadrangle , degenerate energy levels , mathematics , index (typography) , quadratic equation , type (biology) , space (punctuation) , combinatorics , pure mathematics , geometry , physics , computer science , biology , geography , paleontology , archaeology , quantum mechanics , world wide web , operating system
We show that every 4-plump razor-sharp normal Tits quadrangle X is uniquely determined by a non-degenerate quadratic space whose Witt index m is at least 2. If this Witt index is finite, then X is the Tits quadrangle arising from the corresponding building of type B_m or D_m by a standard construction.