On the space of quadruples of quinary alternating forms |
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| Authors: | Anthony C Kable Akihiko Yukie |
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| Institution: | a Department of Mathematics, Oklahoma State University, Stillwater, OK 74078, USA
b Mathematical Institute, Tôhoku University, Sendai 980-8578, Japan |
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| Abstract: | We discuss some aspects of the invariant theory and arithmetic of the prehomogeneous vector space of quadruples of quinary alternating forms. In particular, we complete the explicit construction of all prehomogeneous covariants of this space and give the rational classification of maximal singular orbits. |
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| Keywords: | Primary: 15A72 secondary: 11S90 15A21 12F10 |
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