منابع مشابه
A Boundedness Theorem for Hom-stacks
The purpose of this note is to prove the following “boundedness” stated in [Ol]. Let X and Y be separated Deligne–Mumford stacks of finite presentation over an algebraic space S and define HomS(X ,Y) as in [Ol, 1.1]. Assume that X is flat and proper over S, and that locally in the fppf topology on S, there exists a finite flat surjection Z → X from an algebraic space Z. Let Y → W be a quasi-fin...
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Fix an algebraic space S, and let X and Y be separated Artin stacks of finite presentation over S with finite diagonals (over S). We define a stack HomS(X ,Y) classifying morphisms between X and Y. Assume that X is proper and flat over S, and fppf–locally on S there exists a finite finitely presented flat cover Z → X with Z an algebraic space. Then we show that HomS(X ,Y) is an Artin stack with...
متن کاملHom - Algebras and Hom
The aim of this paper is to develop the theory of Hom-coalgebras and related structures. After reviewing some key constructions and examples of quasi-deformations of Lie algebras involving twisted derivations and giving rise to the class of quasi-Lie algebras incorporating Hom-Lie algebras, we describe the notion and some properties of Homalgebras and provide examples. We introduce Hom-coalgebr...
متن کاملHom-algebras and Hom-coalgebras
The aim of this paper is to develop the coalgebra counterpart of the HomAlgebra notions. After reviewing some key constructions and examples of quasi-deformations of Lie algebras involving twisted derivations and giving rise to the class of quasi-Lie algebras incorporating Hom-Lie algebras, we describe the notion and some properties of Homalgebras and provide examples of formal deformations of ...
متن کاملHom-lie Admissible Hom-coalgebras and Hom-hopf Algebras
The aim of this paper is to generalize the concept of Lie-admissible coalgebra introduced in [2] to Hom-coalgebras and to introduce Hom-Hopf algebras with some properties. These structures are based on the Hom-algebra structures introduced in [12].
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ژورنال
عنوان ژورنال: manuscripta mathematica
سال: 2006
ISSN: 0025-2611,1432-1785
DOI: 10.1007/s00229-006-0029-3