Partitions of the complete hypergraph K63 and a determinant-like function

In this paper, we introduce a determinant-like map det S 3 and study some of its properties. For this, we define a graded vector space Λ V S 3 that has similar properties with the exterior algebra Λ V and the exterior GSC-operad Λ V S 2 from Staic. When dim ( V 2 ) = 2 , we show that dim k ( Λ V 2 S...

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Veröffentlicht in:	Journal of algebraic combinatorics 2022, Vol.56 (3), p.969-1003
Hauptverfasser:	Staic, Mihai D., Lippold, Steven R.
Format:	Artikel
Sprache:	eng
Schlagworte:	Combinatorics Computer Science Convex and Discrete Geometry Graph theory Group Theory and Generalizations Lattices Mathematics Mathematics and Statistics Order Ordered Algebraic Structures Vector spaces
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