Functors on ∞- Categories and the Yoneda Embedding
Pure and Applied Mathematics Journal
Volume 3, Issue 6-2, December 2014, Pages: 20-25
Received: Nov. 12, 2014; Accepted: Nov. 18, 2014; Published: Nov. 24, 2014
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Author
Yuri Stropovsvky, Department of Mathematics, Baikov Institute of Materials Research, Baikov, Russia
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Abstract
Through the application of the Yoneda embedding in the context of the ∞- categories is obtained a classification of functors with their corresponding extended functors in the geometrical Langlands program. Also is obtained a functor formula that can be considered in the extending of functors to obtaining of generalized Verma modules. In this isomorphism formula are considered the Verma modules as classifying spaces of these functors.
Keywords
Deformed Category, Extended Functor, Full and faithfull Functor, ∞- Category, Moduli Problem, Yoneda Embedding
To cite this article
Yuri Stropovsvky, Functors on ∞- Categories and the Yoneda Embedding, Pure and Applied Mathematics Journal. Special Issue: Integral Geometry Methods on Derived Categories in the Geometrical Langlands Program. Vol. 3, No. 6-2, 2014, pp. 20-25. doi: 10.11648/j.pamj.s.2014030602.14
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