Exterior algebra and combinatorics
The extension of extremal combinatorics to the setting of exterior algebra is a work
in progress that gained attention recently. In this thesis, we study the combinatorial structure of exterior algebra by introducing a dictionary that translates the notions from the set systems into the framework of exterior algebra. We show both generalizations of celebrated ErdÃ¶s--Ko--Rado theorem and Hilton--Milner theorem to the setting of exterior algebra in the simplest non-trivial case of two-forms.
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Institute of Science and Technology Austria
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