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We study the degree 3 cohomological invariants with coefficients in of a semisimple group over an arbitrary field. A list of all invariants of adjoint groups of inner type is given.
Merkurjev, Alexander. "Degree three cohomological invariants of semisimple groups." Journal of the European Mathematical Society 018.3 (2016): 657-680. <http://eudml.org/doc/277729>.
@article{Merkurjev2016, abstract = {We study the degree 3 cohomological invariants with coefficients in $\mathbb \{Q\}/ \mathbb \{Z\} (2)$ of a semisimple group over an arbitrary field. A list of all invariants of adjoint groups of inner type is given.}, author = {Merkurjev, Alexander}, journal = {Journal of the European Mathematical Society}, keywords = {semisimple groups; cohomological invariants; torsors; classifying space; semisimple groups; cohomological invariants; torsors; classifying space}, language = {eng}, number = {3}, pages = {657-680}, publisher = {European Mathematical Society Publishing House}, title = {Degree three cohomological invariants of semisimple groups}, url = {http://eudml.org/doc/277729}, volume = {018}, year = {2016}, }
TY - JOUR AU - Merkurjev, Alexander TI - Degree three cohomological invariants of semisimple groups JO - Journal of the European Mathematical Society PY - 2016 PB - European Mathematical Society Publishing House VL - 018 IS - 3 SP - 657 EP - 680 AB - We study the degree 3 cohomological invariants with coefficients in $\mathbb {Q}/ \mathbb {Z} (2)$ of a semisimple group over an arbitrary field. A list of all invariants of adjoint groups of inner type is given. LA - eng KW - semisimple groups; cohomological invariants; torsors; classifying space; semisimple groups; cohomological invariants; torsors; classifying space UR - http://eudml.org/doc/277729 ER -