A reductive case on derivations in Vinberg (−1,1) rings
2018 ◽
Vol 11
(03)
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pp. 1850037
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In this paper, we describe the reductive pair [Formula: see text] with fixed decomposition [Formula: see text] and construct a reductive Vinberg [Formula: see text] ring relative to [Formula: see text] which is based on the construction of nonassociative algebras with specified simple Lie algebra [Formula: see text] of derivations. As a special case, we construct a class of Vinberg [Formula: see text] algebras ([Formula: see text], [Formula: see text] of dimension 8 with [Formula: see text] [Formula: see text] and determine its associated reductive Lie algebra [Formula: see text] [Formula: see text].
2019 ◽
Vol 30
(03)
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pp. 451-466
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2016 ◽
Vol 15
(03)
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pp. 1650049
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2007 ◽
Vol 17
(03)
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pp. 527-555
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1992 ◽
Vol 07
(05)
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pp. 877-945
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2002 ◽
Vol 01
(04)
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pp. 413-424
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