On a sheaf-theoretic version of the Witt’s decomposition theorem. A Lagrangian perspective
| Autor: | Anastasios Mallios, Patrice P. Ntumba |
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| Rok vydání: | 2009 |
| Předmět: |
Subcategory
General Mathematics Context (language use) Witt algebra Coherent sheaf Algebra Geometric algebra Mathematics::Algebraic Geometry Perspective (geometry) Mathematics::K-Theory and Homology Mathematics::Category Theory Decomposition (computer science) Sheaf Mathematics::Representation Theory Mathematics |
| Zdroj: | Rendiconti del Circolo Matematico di Palermo. 58:155-168 |
| ISSN: | 1973-4409 0009-725X |
| Popis: | The approach to a counterpart, in Abstract Geometric Algebra, that is, Geometric Algebra via sheaves of modules, of the classical Witt’s decomposition theoremis based on the axiomatization of the classical context, which however leads to the formulation of a specific subcategory of the category of sheaves of modules: the full subcategory of convenient sheaves of modules. Convenient sheaves of modules turn out, by the very essence of the matter at hand, to be of further importance as far as the setting of results leading to the sheaf-theoretic aspect of several forms of the Witt’s theorem is concerned. Further versions of the Witt’s theorem are still to be treated elsewhere. |
| Databáze: | OpenAIRE |
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