Higher Bruhat orders of types B and C

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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Bibliographic Details
Published in:Journal of algebraic combinatorics 2024, Vol.60 (1), p.241-264
Main Authors: Danilov, Vladimir I., Karzanov, Alexander V., Koshevoy, Gleb A.
Format: Article
Language:English
Subjects:
Combinatorics
Computer Science
Convex and Discrete Geometry
Group Theory and Generalizations
Lattices
Mathematics
Mathematics and Statistics
Order
Ordered Algebraic Structures
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Summary: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.
ISSN:0925-9899
1572-9192
DOI:10.1007/s10801-024-01334-x