Work

Linear embeddings of Grassmannians and ind-Grassmannians

Year: 2026

Type: article

Abstract: By a Grassmannian we understand a usual complex Grassmannian or possibly an orthogonal or symplectic Grassmannian. We classify, with few exceptions, linear embeddings of Grassmannians into larger Grassmannians, where the linearity requirement is the condition that the embedding induces an isomorphism on Picard groups. This classification implies that most linear embeddings of Grassmannians are equivariant. A linear ind-Grassmannian is the direct limit of a chain of linear embeddings of Grassmannians. We conclude the paper by classifying linear embeddings of linear ind-Grassmannians.

Source: Journal of Lie Theory

DOI: 10.5802/jlt.1425

Authors: Ivan Penkov, Valdemar Tsanov

Institutions: Constructor University, Bulgarian Academy of Sciences, Institute of Mathematics and Informatics

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funders: Deutsche Forschungsgemeinschaft, Division of Mathematical Sciences

OpenAlex ID: W7165046057