Classification of 8-Dimensional Trilinear Alternating Forms over GF(2)

REFERENCES

• Cohen , A. M. , Helminck , A. G. ( 1988 ). Trilinear alternating forms on a vector space of dimension 7 . Communications in Algebra 16 ( 1 ): 1 – 25 .
   Web of Science ®Google Scholar
• Gurevitch , G. B. ( 1964 ). Foundations of the Theory of Algebraic Invariants . Groningen , The Netherlands : P. Noordhoff Ltd .
   Google Scholar
• Djokovic , D. ( 1983 ). Classification of trivectors of an eight dimensional real vector space : Linear and Multilinear Algebra 13 ( 3 ): 3 – 39 .
   Google Scholar
• Noui , L. ( 1997 ). Transvecter de rang 8 sur un corps algébriquement clos. C. R. Acad. Sci. Paris. t. 324, Serie i, Algebre, pp. 611–614 .
   Google Scholar
• Midoune , N. , Noui , L. ( 2013 ). Trilinear alternating forms on a vector space of dimension 8 over a finite field . Linear and Multilinear Algebra 61 ( 1 ): 15 – 21 .
   Web of Science ®Google Scholar
• Aschbacher , M. ( 1994 ). Sporadic Groups . Cambridge Tracts in Mathematics Vol. 104. Cambridge : Cambridge University Press .
   Google Scholar
• Hora , J. Orthogonal decompositions and canonical embeddings of multilinear alternating forms . Linear and Multilinear Algebra , March–April 2004. 52(2):121–132 .
   Web of Science ®Google Scholar
• Hora , J. ( 2010 ). An easily computable invariant of trilinear alternating forms . Acta Univ. Carol. Math. Phys. 51 ( 2 ): 9 – 15 .
   Google Scholar
• Communicated by I. Shestakov.
   Google Scholar