Simple superelliptic Lie algebras
2017 ◽
Vol 19
(03)
◽
pp. 1650032
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Keyword(s):
Let [Formula: see text], [Formula: see text]. Then we have the algebraic curve [Formula: see text], and its coordinate algebras (the Riemann surfaces) [Formula: see text] and [Formula: see text] The Lie algebras [Formula: see text] and [Formula: see text] are called the [Formula: see text]th superelliptic Lie algebras associated to [Formula: see text]. In this paper, we determine the necessary and sufficient conditions for such Lie algebras to be simple, and determine their universal central extensions and their derivation algebras. We also study the isomorphism and automorphism problem for these Lie algebras, which will help to understand the birational equivalence of some algebraic curves of the form [Formula: see text].
2014 ◽
Vol 16
(03)
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pp. 1350047
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2010 ◽
Vol 62
(2)
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pp. 382-399
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2019 ◽
Vol 53
(supl)
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pp. 45-86
1979 ◽
Vol 27
(3)
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pp. 332-336
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2018 ◽
Vol 28
(05)
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pp. 915-933
1979 ◽
Vol 20
(3)
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pp. 411-420
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2015 ◽
Vol 08
(02)
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pp. 1550032
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2009 ◽
Vol 05
(04)
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pp. 585-590
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1986 ◽
Vol 23
(04)
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pp. 851-858
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