Higher Bruhat orders of types B and C

Alexander V. Karzanov; Gleb A. Koshevoy; Vladimir I. Danilov

Higher Bruhat orders of types B and C

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arxiv 2107.09462 v3 pith:LEN2LJSK submitted 2021-07-20 math.CO

Vladimir I. Danilov , Alexander V. Karzanov , Gleb A. Koshevoy This is my paper

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keywords bruhathigherorderstypescubillagescyclicgeometricinterpretations

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abstract

We propose versions of higher Bruhat orders for types $B$ and $C$. This is based on a theory of higher Bruhat orders of type~A and their geometric interpretations (due to Manin--Shekhtman, Voevodskii--Kapranov, and Ziegler), and on our study of the so-called symmetric cubillages of cyclic zonotopes.

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