BRIBE
发表于 2025-3-23 11:44:37
Symplectic Matroids,r group, namely, .. the hyperoctahedral group. The resulting structures are called symplectic matroids, and they are in some sense rather general Coxeter matroids, as they include ordinary matroids and a third type, orthogonal matroids, as special cases. This will also prepare us to tackle Coxeter matroids in full generality in the later chapters.
不来
发表于 2025-3-23 17:10:11
Coxeter Matroids,apters 1 and 3. The keystone to the whole theory is the Gelfand—Serganova Theorem which interprets Coxeter matroids as . (Theorem 6.3.1). As we shall soon show (Theorem 6.4.1), the latter can be defined in a very elementary way:
侵略主义
发表于 2025-3-23 21:07:41
Buildings,nvolves permutation of rows and columns of a matrix. The rules these permutations obey are extremely simple; when axiomatized in group-theoretic terms, they become what are known as axioms for a .-pair (or a .) and very quickly lead to Coxeter groups appearing on the scene.
APEX
发表于 2025-3-23 23:31:31
Gabriele Siegert,Dieter Brecheishe Maximality Property, which is really just a reformulation of the well-known characterization of matroids in terms of the Greedy Algorithm. It says, briefly, that for every linear ordering of the set of elements of the matroid, there is a unique maximal basis. But linear orderings of a finite set
卧虎藏龙
发表于 2025-3-24 04:34:38
ar lattices and seeing how they are related to the symmetric group. We develop a viewpoint of a semimodular lattice as a chamber system with a kind of metric that gives it a structure only slightly weaker than that of a building over .. This leads to a natural way to represent flag matroids in semim
沙文主义
发表于 2025-3-24 06:53:29
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AWRY
发表于 2025-3-24 14:19:54
Wasserkonflikte sind Machtkonfliktematic development of the theory of Coxeter matroids. A . is a finite subgroup of the orthogonal group of ℝ. generated by some reflections in hyperplanes (. or .). The mirrors cut ℝ. into open polyhedral cones, called .. The geometric concepts associated with the resulting chamber system (called the
国家明智
发表于 2025-3-24 18:29:48
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Apraxia
发表于 2025-3-24 21:13:45
Wasserkonflikte sind Machtkonfliktenvolves permutation of rows and columns of a matrix. The rules these permutations obey are extremely simple; when axiomatized in group-theoretic terms, they become what are known as axioms for a .-pair (or a .) and very quickly lead to Coxeter groups appearing on the scene.
我的巨大
发表于 2025-3-25 01:09:04
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