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.
| DOI | 10.11648/j.pamj.s.2014030602.14 |
| Published in |
Pure and Applied Mathematics Journal (Volume 3, Issue 6-2, December 2014)
This article belongs to the Special Issue Integral Geometry Methods on Derived Categories in the Geometrical Langlands Program |
| Page(s) | 20-25 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2024. Published by Science Publishing Group |
Deformed Category, Extended Functor, Full and faithfull Functor, ∞- Category, Moduli Problem, Yoneda Embedding
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APA Style
Yuri Stropovsvky. (2014). Functors on ∞- Categories and the Yoneda Embedding. Pure and Applied Mathematics Journal, 3(6-2), 20-25. https://doi.org/10.11648/j.pamj.s.2014030602.14
ACS Style
Yuri Stropovsvky. Functors on ∞- Categories and the Yoneda Embedding. Pure Appl. Math. J. 2014, 3(6-2), 20-25. doi: 10.11648/j.pamj.s.2014030602.14
AMA Style
Yuri Stropovsvky. Functors on ∞- Categories and the Yoneda Embedding. Pure Appl Math J. 2014;3(6-2):20-25. doi: 10.11648/j.pamj.s.2014030602.14
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Download@article{10.11648/j.pamj.s.2014030602.14,
author = {Yuri Stropovsvky},
title = {Functors on ∞- Categories and the Yoneda Embedding},
journal = {Pure and Applied Mathematics Journal},
volume = {3},
number = {6-2},
pages = {20-25},
doi = {10.11648/j.pamj.s.2014030602.14},
url = {https://doi.org/10.11648/j.pamj.s.2014030602.14},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.pamj.s.2014030602.14},
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.},
year = {2014}
}
TY - JOUR T1 - Functors on ∞- Categories and the Yoneda Embedding AU - Yuri Stropovsvky Y1 - 2014/11/24 PY - 2014 N1 - https://doi.org/10.11648/j.pamj.s.2014030602.14 DO - 10.11648/j.pamj.s.2014030602.14 T2 - Pure and Applied Mathematics Journal JF - Pure and Applied Mathematics Journal JO - Pure and Applied Mathematics Journal SP - 20 EP - 25 PB - Science Publishing Group SN - 2326-9812 UR - https://doi.org/10.11648/j.pamj.s.2014030602.14 AB - 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. VL - 3 IS - 6-2 ER -
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