Algebraic structures of F-manifolds via pre-Lie algebras
نویسندگان
چکیده
منابع مشابه
Constructing algebraic Lie algebras
We give an algorithm for constructing the algebraic hull of a given matrix Lie algebra. It is based on an algorithm for finding integral linear dependencies of the roots of a polynomial, that is probably of independent interest.
متن کاملLie algebraic characterization of manifolds
Results on characterization of manifolds in terms of certain Lie algebras growing on them, especially Lie algebras of differential operators, are reviewed and extended. In particular, we prove that a smooth (realanalytic, Stein) manifold is characterized by the corresponding Lie algebra of linear differential operators, i.e. isomorphisms of such Lie algebras are induced by the appropriate class...
متن کاملLie Algebras, Algebraic Groups, and Lie Groups
These notes are an introduction to Lie algebras, algebraic groups, and Lie groups in characteristic zero, emphasizing the relationships between these objects visible in their categories of representations. Eventually these notes will consist of three chapters, each about 100 pages long, and a short appendix. Single paper copies for noncommercial personal use may be made without explicit permiss...
متن کاملAlgebraic Structures on Hyperkähler Manifolds Algebraic Structures on Hyperkähler Manifolds
Let M be a compact hyperkähler manifold. The hy-perkähler structure equips M with a set R of complex structures parametrized by CP 1 , called the set of induced complex structures. It was known previously that induced complex structures are non-algebraic, except may be a countable set. We prove that a countable set of induced complex structures is algebraic, and this set is dense in R. A more g...
متن کاملAlgebraic Geometry over Lie Algebras
What is algebraic geometry over algebraic systems? Many important relations between elements of a given algebraic system A can be expressed by systems of equations over A. The solution sets of such systems are called algebraic sets over A. Algebraic sets over A form a category, if we take for morphisms polynomial functions in the sense of Definition 6.1 below. As a discipline, algebraic geometr...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Annali di Matematica Pura ed Applicata (1923 -)
سال: 2018
ISSN: 0373-3114,1618-1891
DOI: 10.1007/s10231-018-0787-z