In mathematics, the Rost invariant is a cohomological invariant of an absolutely simple simply connected algebraic group G over a field k, which associates an element of the Galois cohomology group H3(k, Q/Z(2)) to a principal homogeneous space for G. Here the coefficient group Q/Z(2) is the tensor product of the group of roots of unity of an algebraic closure of k with itself. Markus Rost (1991) first introduced the invariant for groups of type F4 and later extended it to more general groups in unpublished work that was summarized by Serre (1995).
The Rost invariant is a generalization of the Arason invariant.
In mathematics, the Rostinvariant is a cohomological invariant of an absolutely simple simply connected algebraic group G over a field k, which associates...
in the proof of the Bloch–Kato conjecture) and for the Rostinvariant (a cohomological invariant with values in Galois cohomology of degree 3). Together...
introduced by (Arason 1975, Theorem 5.7). The Rostinvariant is a generalization of the Arason invariant to other algebraic groups. Suppose that W(k) is...
essentially the Arason invariant. For absolutely simple simply connected groups G, the Rostinvariant is a dimension 3 invariant taking values in Q/Z(2)...
invariants with 3-torsion coefficients have a basis 1, g3 of degrees 0, 3. The invariants f3 and g3 are the primary components of the Rostinvariant....
Merkurjev's sixtieth birthday. Max-Albert Knus, Alexander Merkurjev, Markus Rost, Jean-Pierre Tignol: The book of involutions, American Mathematical Society...
he showed as to how the contracted Riemann tensor and the curvature invariant can be geometrically interpreted. Gesammelte Schriften / Gustav Herglotz...
the tunnel number of a knot, as first defined by Bradd Clark, is a knot invariant, given by the minimal number of arcs (called tunnels) that must be added...
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