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pro vyhledávání: '"Oelen, Casper"'
Autor:
Lombardo, Sara, Oelen, Casper
We present normal forms of elliptic automorphic Lie algebras with symmetry group $D_2$, the dihedral group of order 4, which appear prominently in the context of Landau-Lifshitz type of equations. The normal forms are established through the construc
Externí odkaz:
http://arxiv.org/abs/2412.20482
Publikováno v:
Proceedings of the Edinburgh Mathematical Society 67 (2024) 947-989
We classify the automorphic Lie algebras of equivariant maps from a complex torus to $\mathfrak{sl}_2(\mathbb{C})$. For each case we compute a basis in a normal form. The automorphic Lie algebras correspond precisely to two disjoint families of Lie a
Externí odkaz:
http://arxiv.org/abs/2405.13598
We classify embeddings of the finite groups $A_4$, $S_4$ and $A_5$ in the Lie group $G_2(\mathbb{C})$ up to conjugation.
Comment: 6 pages. To appear in the Glasgow Mathematical Journal
Comment: 6 pages. To appear in the Glasgow Mathematical Journal
Externí odkaz:
http://arxiv.org/abs/2208.00295
Autor:
Oelen, Casper
An automorphic Lie algebra is a Lie algebra of certain invariants, initially arising in the theory of integrable systems, or more specifically, in the context of algebraic reduction of Lax pairs. They are defined as follows. Let a finite group Γ act
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::458a99a1b07b647d36b3b5f4c7609bb6