Results 81 to 90 of about 86,229 (173)
Properties of Set Functors [PDF]
Electronic Notes in Theoretical Computer Science, 2004 We prove that any endofunctor on a class-theoretic category has a final coalgebra. Moreover, we characterize functors on set-theoretic categories which are identical on objects, and functors which are constant on objects.
CANCILA, Daniela +2 more
openaire +2 more sources
Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.Abstract Given an associative C$\mathbb {C}$‐algebra A$A$, we call A$A$ strongly rigid if for any pair of finite subgroups of its automorphism groups G,H$G, H$, such that AG≅AH$A^G\cong A^H$, then G$G$ and H$H$ must be isomorphic. In this paper, we show that a large class of filtered quantizations are strongly rigid.
Akaki Tikaradze
wiley +1 more source
Journal of Pure and Applied Algebra, 2011 Let $G= {\rm Spec} A$ be an affine $R$-monoid scheme. We prove that the category of dual functors (over the category of commutative $R$-algebras) of $G$-modules is equivalent to the category of dual functors of ${\mathcal A}^*$-modules. We prove that $G$ is invariant exact if and only if $A^*= R \times B^*$ as $R$-algebras and the first projection $A^*
Pedro Sancho +2 more
openaire +3 more sources
Shift orbits for elementary representations of Kronecker quivers
Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.Abstract Let r∈N⩾3$r \in \mathbb {N}_{\geqslant 3}$. We denote by Kr$K_r$ the wild r$r$‐Kronecker quiver with r$r$ arrows γi:1⟶2$\gamma _i \colon 1 \longrightarrow 2$ and consider the action of the group Gr⊆Aut(Z2)$G_r \subseteq \operatorname{Aut}(\mathbb {Z}^2)$ generated by δ:Z2⟶Z2,(x,y)↦(y,x)$\delta \colon \mathbb {Z}^2 \longrightarrow \mathbb {Z}^2,
Daniel Bissinger
wiley +1 more source
The Mumford conjecture (after Bianchi)
Journal of Topology, Volume 18, Issue 1, March 2025.Abstract We give a self‐contained and streamlined rendition of Andrea Bianchi's recent proof of the Mumford conjecture using moduli spaces of branched covers.
Ronno Das, Dan Petersen
wiley +1 more source
Dg analogues of the Zuckerman functors and the dual Zuckerman functors I
, 2016 We study the category of dg Harish-Chandra modules (over an arbitrary commutative ring) and construct dg analogues of the induction functor, the production functor, the Zuckerman functor and the dual Zuckerman functor.Comment: 38 ...
Hayashi, Takuma
core
On the parameterized Tate construction
Journal of Topology, Volume 18, Issue 1, March 2025.Abstract We introduce and study a genuine equivariant refinement of the Tate construction associated to an extension Ĝ$\widehat{G}$ of a finite group G$G$ by a compact Lie group K$K$, which we call the parameterized Tate construction (−)tGK$(-)^{t_G K}$.
J. D. Quigley, Jay Shah
wiley +1 more source
Advances in Mathematics, 1998 AbstractWe develop Auslander's theory of coherent functors in the case of functors on modules of finite type over a noetherian ringA. In particular, the duality of coherent functors, which interchanges representable functors and tensor products, plays a special role.
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Dirichlet Functors are Contravariant Polynomial Functors
, 2020 11 ...
Myers, David Jaz, Spivak, David I.
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Double Copy From Tensor Products of Metric BV■‐Algebras
Fortschritte der Physik, Volume 73, Issue 1-2, February 2025.Abstract Field theories with kinematic Lie algebras, such as field theories featuring color–kinematics duality, possess an underlying algebraic structure known as BV■‐algebra. If, additionally, matter fields are present, this structure is supplemented by a module for the BV■‐algebra.
Leron Borsten +5 more
wiley +1 more source