Geodesic
Rost Multipliers of Lifted Kronecker Tensor Products
Documenta mathematica, Tome 25 (2020), pp. 1997-2022.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

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 $\mathbf{HSpin}_{4n}$.
Classification : 20G10, 14L35
Keywords: cohomological invariants, semisimple groups, half-spin group, Rost multipliers, Kronecker product 
@article{DOCMA_2020__25__a16,
     author = {Ruether, Cameron},
     title = {Rost {Multipliers} of {Lifted} {Kronecker} {Tensor} {Products}},
     journal = {Documenta mathematica},
     pages = {1997--2022},
     publisher = {mathdoc},
     volume = {25},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2020__25__a16/}
}
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Ruether, Cameron. Rost Multipliers of Lifted Kronecker Tensor Products. Documenta mathematica, Tome 25 (2020), pp. 1997-2022. http://geodesic.mathdoc.fr/item/DOCMA_2020__25__a16/