Rost Multipliers of Lifted Kronecker Tensor Products
We extend techniques employed by Garibaldi to construct various new injections involving the half-spin group, \mathbf{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 ne...
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| Veröffentlicht in: | Documenta mathematica Journal der Deutschen Mathematiker-Vereinigung. 2020, Vol.25, p.1997-2022 |
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| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | We extend techniques employed by Garibaldi to construct various new injections involving the half-spin group, \mathbf{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 \mathbf{PSp}_{2n}\times \mathbf{PSp}_{2m} \hookrightarrow \mathbf{HSpin}_{4nm} to describe the structure of the normalized degree three cohomological invariants of \mathbf{HSpin}_{4n} . |
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| ISSN: | 1431-0635 1431-0643 |
| DOI: | 10.4171/dm/791 |