Results 41 to 50 of about 100,519 (222)

A Formula for the Geometric Jacquet Functor and its Character Sheaf Analogue [PDF]

, 2017
Let (G,K) be a symmetric pair over the complex numbers, and let X=K\G be the corresponding symmetric space. In this paper we study a nearby cycles functor associated to a degeneration of X to MN\G, which we call the "wonderful degeneration". We show that
Chen, Tsao-Hsien, Din, Alexander Yom
core   +2 more sources

Adjoint relations for the category of local dcpos [PDF]

Categories and General Algebraic Structures with Applications, 2017
In this paper, we consider the forgetful functor from the category {bf LDcpo} of local dcpos (respectively, {bf Dcpo} of dcpos) to  the category {bf Pos} of posets (respectively, {bf LDcpo} of local dcpos), and study the existence of its left and right ...
Bin Zhao, Jing Lu, Kaiyun Wang
doaj  

The categorical contours of the Chomsky-Sch\"utzenberger representation theorem [PDF]

Logical Methods in Computer Science
We develop fibrational perspectives on context-free grammars and on nondeterministic finite-state automata over categories and operads. A generalized CFG is a functor from a free colored operad (aka multicategory) generated by a pointed finite species ...
Paul-André Melliès, Noam Zeilberger
doaj   +1 more source

Adjoint Functors and Triangulated Categories [PDF]

Communications in Algebra, 2008
We give a construction of triangulated categories as quotients of exact categories where the subclass of objects sent to zero is defined by a triple of functors. This includes the cases of homotopy and stable module categories. These categories naturally fit into a framework of relative derived categories, and once we prove that there are decent ...
openaire   +2 more sources

A model structure on the category of small categories for coverings [PDF]

, 2012
We define a new model structure on the category of small categories, which is intimately related to the notion of coverings and fundamental groups of small categories.
Tanaka, Kohei
core   +2 more sources

Azumaya Monads and Comonads

Axioms, 2015
The definition of Azumaya algebras over commutative rings \(R\) requires the tensor product of modules over \(R\) and the twist map for the tensor product of any two \(R\)-modules.
Bachuki Mesablishvili, Robert Wisbauer
doaj   +1 more source

On the Casselman-Jacquet functor [PDF]

Representations of Reductive Groups, 2017
We study the Casselman-Jacquet functor $J$, viewed as a functor from the (derived) category of $(\mathfrak{g},K)$-modules to the (derived) category of $(\mathfrak{g},N^-)$-modules, $N^-$ is the negative maximal unipotent.
Tsao-Hsien Chen, D. Gaitsgory, Alexander Yom Din   +2 more
semanticscholar   +1 more source

So, what is a derived functor? [PDF]

Homology, Homotopy and Applications, 2018
In the context of infinity categories, we rethink the notion of derived functor in terms of correspondences. This is especially convenient for the description of a passage from an adjoint pair (F,G) of functors to a derived adjoint pair (LF,RG).
V. Hinich
semanticscholar   +1 more source

The Greenberg Functor is Site Cocontinuous [PDF]

2018 MATRIX Annals, 2019
In this paper we show that it is possible to define a topology on the category of formal schemes over a ring of p-adic integers such that the left adjoint of the Greenberg Transform is a site cocontinuous functor when we equip the category of schemes ...
G. Vooys
semanticscholar   +1 more source

Adjoint functor of Ding injective modules(Ding-内射模的函子伴随性)

Zhejiang Daxue xuebao. Lixue ban, 2018
主要研究了 Ding-内射模以及有有限内射维数的模类的逼近，构造了 Ding-内射模范畴对应的稳定范畴之间的两对伴随函子.
LUOXiaoqiang(罗肖强)
doaj   +1 more source