Rost Multipliers of Lifted Kronecker Tensor Products

2018/11/06 by Cameron Ruether, Ruether, Cameron
Mathematics · #14L30 #20G07 (Primary) #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1811.02128

openalex publication_date 2018/11/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We extend techniques employed by Garibaldi to construct various new injections involving the half-spin group, HSpin, induced by lifting the Kronecker tensor product to simply connected groups. We calculate the Rost multipliers of the maps we have constructed. Furthermore, we utilize our new map PSp_2n× PSp_2m \hookrightarrow HSpin_4nm to describe the structure of the normalized degree three cohomological invariants of HSpin_4n.

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