Rost Multipliers of Lifted Kronecker Tensor Products
Abstract
We extend techniques employed by Garibaldi to construct various new injections involving the half-spin group, $\textbf{HSpin}$, 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 $\textbf{PSp}_{2n}\times \textbf{PSp}_{2m} \hookrightarrow \textbf{HSpin}_{4nm}$ to describe the structure of the normalized degree three cohomological invariants of $\textbf{HSpin}_{4n}$.
- Publication:
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arXiv e-prints
- Pub Date:
- November 2018
- DOI:
- 10.48550/arXiv.1811.02128
- arXiv:
- arXiv:1811.02128
- Bibcode:
- 2018arXiv181102128R
- Keywords:
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- Mathematics - Algebraic Geometry;
- 20G07 (Primary);
- 14L30
- E-Print:
- 22 pages. Revision of previous version, "Rost Multipliers of Lifted Kronecker Tensor Products," in response to referee feedback