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

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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 PSp2n​×PSp2m​↪HSpin4nm​ to describe the structure of the normalized degree three cohomological invariants of HSpin4n​.
DOI : 10.4171/dm/791
Classification : 14L35, 20G10
Mots-clés : cohomological invariants, semisimple groups, half-spin group, Rost multipliers, Kronecker product 
Cameron Ruether. Rost Multipliers of Lifted Kronecker Tensor Products. Documenta mathematica, Tome 25 (2020), pp. 1997-2022. doi: 10.4171/dm/791
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     author = {Cameron Ruether},
     title = {Rost {Multipliers} of {Lifted} {Kronecker} {Tensor} {Products}},
     journal = {Documenta mathematica},
     pages = {1997--2022},
     year = {2020},
     volume = {25},
     doi = {10.4171/dm/791},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/791/}
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