On Isomorphisms of Grassmann Spaces
Hans Havlicek
TL;DR
This paper explores the isomorphisms of Grassmann spaces and their connections to collineations and embeddings of the associated projective spaces, providing insights into their structural relationships.
Contribution
It characterizes isomorphisms of Grassmann spaces and links them to collineations and embeddings of projective spaces, revealing new structural insights.
Findings
Identifies conditions for isomorphisms of Grassmann spaces
Connects Grassmann space isomorphisms with projective space collineations
Provides a framework for understanding embeddings of projective spaces
Abstract
We exhibit isomorphisms of Grassmann spaces and their relationship with collineations and embeddings of the underlying projective spaces.
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Taxonomy
TopicsFinite Group Theory Research · Advanced Topics in Algebra · Tensor decomposition and applications