Homogeneous Vector Bundles on Symplectic Grassmannians
Martina Bode
TL;DR
This paper explores the K-Theory and the structure of homogeneous vector bundles on symplectic Grassmannians, specifically focusing on isotropic 2-planes, providing new insights into their algebraic and geometric properties.
Contribution
It introduces a detailed analysis of the K-Theory and vector bundle categories on symplectic Grassmannians, a topic with limited prior exploration.
Findings
Characterization of homogeneous vector bundles on SpGr(2,N)
Results on the K-Theory of symplectic Grassmannians
Structural insights into isotropic 2-plane bundles
Abstract
In this paper the K-Theory and the category of homogeneous vector bundles on the symplectic Grassmannian SpGr(2,N) of isotropic 2-planes are discussed.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic structures and combinatorial models · Advanced Topics in Algebra