Shellability and homology of q-complexes and q-matroids

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Shellability and homology of q-complexes and q-matroids

Ghorpade, Sudhir R.; Pratihar, Rakhi; Randrianarisoa, Tovohery H.

Journal of algebraic combinatorics, 12/2022, Volume: 56, Issue: 4

Journal Article

We consider a q -analogue of abstract simplicial complexes, called q -complexes, and discuss the notion of shellability for such complexes. It is shown that q -complexes formed by independent subspaces of a q -matroid are shellable. Further, we explicitly determine the homology of q -complexes corresponding to uniform q -matroids. We also outline some partial results concerning the determination of homology of arbitrary shellable q -complexes.

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Ghorpade, Sudhir R. | Pratihar, Rakhi | Randrianarisoa, Tovohery H.

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