Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Simple superelliptic Lie algebras
View through CrossRef
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].
World Scientific Pub Co Pte Lt
Title: Simple superelliptic Lie algebras
Description:
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].
Related Results
Quasi-pre-Lie bialgebras and twisting of pre-Lie algebras
Quasi-pre-Lie bialgebras and twisting of pre-Lie algebras
Given a (quasi-)twilled pre-Lie algebra, we first construct a differential graded Lie algebra ([Formula: see text]-algebra). Then we study the twisting theory of (quasi-)twilled pr...
Finitely Presented Heyting Algebras
Finitely Presented Heyting Algebras
In this paper we study the structure of finitely presented Heyting<br />algebras. Using algebraic techniques (as opposed to techniques from proof-theory) we show that every s...
Realizations of 3-Lie algebras
Realizations of 3-Lie algebras
3-Lie algebras have close relationships with many important fields in mathematics and mathematical physics. In this paper, we provide a construction of 3-Lie algebras in terms of L...
Central invariants and enveloping algebras of braided Hom-Lie algebras
Central invariants and enveloping algebras of braided Hom-Lie algebras
Let (H,?) be a monoidal Hom-Hopf algebra and HH HYD the Hom-Yetter-Drinfeld
category over (H,?). Then in this paper, we first introduce the definition
of braided Hom-Lie alge...
Weak pseudo-BCK algebras
Weak pseudo-BCK algebras
Abstract
In this paper we define and study the weak pseudo-BCK algebras as generalizations of weak BCK-algebras, extending some results given by Cı⃖rulis for weak BC...
Malcev Yang-Baxter equation, weighted $\mathcal{O}$-operators on Malcev algebras and post-Malcev algebras
Malcev Yang-Baxter equation, weighted $\mathcal{O}$-operators on Malcev algebras and post-Malcev algebras
The purpose of this paper is to study the $\mathcal{O}$-operators on Malcev algebras and discuss the solutions of Malcev Yang-Baxter equation by $\mathcal{O}$-operators. Furthe...
Coherent categorical structures for Lie bialgebras, Manin triples, classical r-matrices and pre-Lie algebras
Coherent categorical structures for Lie bialgebras, Manin triples, classical r-matrices and pre-Lie algebras
Abstract
The broadly applied notions of Lie bialgebras, Manin triples, classical r-matrices and
...
3-Lie∞-algebras and 3-Lie 2-algebras
3-Lie∞-algebras and 3-Lie 2-algebras
In this paper, we introduce the notions of a [Formula: see text]-[Formula: see text]-algebra and a 3-Lie 2-algebra. The former is a model for a 3-Lie algebra that satisfy the funda...