Some Groups of Type E7
2006 ◽
Vol 182
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pp. 259-284
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Keyword(s):
AbstractAn algebraic group of type E7 over an algebraically closed field has an irreducible representation in a vector space of dimension 56 and is, in fact, the identity component of the automorphism group of a quartic form on the space. This paper describes the construction of the quartic form if the characteristic is ≠ 2, 3, taking into account a field of definition F. Certain F-forms of E7 appear in the automorphism groups of quartic forms over F, as well as forms of E6. Many of the results of the paper are known, but are perhaps not easily accessible in the literature.
2014 ◽
Vol 150
(12)
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pp. 2127-2142
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2008 ◽
Vol 4
(1)
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pp. 91-100
1962 ◽
Vol 14
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pp. 293-303
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2016 ◽
Vol 19
(1)
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pp. 235-258
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1976 ◽
Vol 79
(3)
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pp. 401-425
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Keyword(s):
2011 ◽
Vol 90
(3)
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pp. 403-430
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2009 ◽
Vol 05
(05)
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pp. 897-910
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2008 ◽
Vol 11
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pp. 280-297
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