Deformations of sheaves of algebras
| Autor: | Vladimir Hinich |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2003 |
| Předmět: |
Mathematics(all)
General Mathematics Subalgebra Non-associative algebra Universal enveloping algebra Formal deformations Affine Lie algebra Mathematics::Algebraic Topology Lie conformal algebra Graded Lie algebra Dwyer–Kan localization Algebra Mathematics - Algebraic Geometry Mathematics::K-Theory and Homology Mathematics::Category Theory Mathematics - Quantum Algebra Algebra representation FOS: Mathematics Cellular algebra Quantum Algebra (math.QA) Model category Mathematical Physics and Mathematics Algebraic Geometry (math.AG) Presheaves of algebras Mathematics |
| Popis: | A construction of the tangent dg Lie algebra of a sheaf of operad algebras on a site is presented. The requirements on the site are very mild; the requirements on the algebra are more substantial. A few applications including the description of deformatins of a scheme and equivariant deformations are considered. The construction is based upon a model structure on the category of presheaves which should be of an independent interest. 57 pages, references added |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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