Results 71 to 80 of about 86,229 (173)
On the Derived Functors of Destabilization and of Iterated Loop Functors [PDF]
, 2017 These notes explain how to construct small functorial chain complexes which calculate the derived functors of destabilization (respectively iterated loop functors) in the theory of modules over the mod 2 Steenrod algebra; this shows how to unify results of Singer and of Lannes and Zarati.
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On linearization and uniqueness of preduals
Mathematische Nachrichten, Volume 298, Issue 3, Page 955-975, March 2025.Abstract We study strong linearizations and the uniqueness of preduals of locally convex Hausdorff spaces of scalar‐valued functions. Strong linearizations are special preduals. A locally convex Hausdorff space F(Ω)$\mathcal {F}(\Omega)$ of scalar‐valued functions on a nonempty set Ω$\Omega$ is said to admit a strong linearization if there are a ...
Karsten Kruse
wiley +1 more source
Obstructing extensions of the functor spec to noncommutative rings [PDF]
, 2011 This paper concerns contravariant functors from the category of rings to the category of sets whose restriction to the full subcategory of commutative rings is isomorphic to the prime spectrum functor Spec. The main result reveals a common characteristic
M. Reyes
semanticscholar +1 more source
ON THE QUADRATIC FOCK FUNCTOR [PDF]
Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2012 We prove that the quadratic second quantization of an operator p on L2(ℝd) ∩ L∞(ℝd) is an orthogonal projection on the quadratic Fock space if and only if p is a multiplication operator by a characteristic function χI, I ⊂ ℝd.
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Flat Base Change Formulas for $(\mathfrak{g},K)$-modules over Noetherian rings
, 2020 The fucntor $I$ and its derived functor over the complex number field have been playing important roles in representation theory of real reductive Lie groups.
Hayashi, Takuma
core
Affine Non‐Reductive GIT and moduli of representations of quivers with multiplicities
Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.Abstract We give an explicit approach to quotienting affine varieties by linear actions of linear algebraic groups with graded unipotent radical, using results from projective Non‐Reductive GIT. Our quotients come with explicit projective completions, whose boundaries we interpret in terms of the original action.
Eloise Hamilton +2 more
wiley +1 more source
On Adjoint and Brain Functors [PDF]
Axiomathes, 2015 There is some consensus among orthodox category theorists that the concept of adjoint functors is the most important concept contributed to mathematics by category theory. We give a heterodox treatment of adjoints using heteromorphisms (object-to-object morphisms between objects of different categories) that parses an adjunction into two separate parts
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Derived functors of nonadditive functors and homotopy theory [PDF]
Algebraic & Geometric Topology, 2011 The text has been corrected and augmented.
Breen, Lawrence, Mikhailov, Roman
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Averaging multipliers on locally compact quantum groups
Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.Abstract We study an averaging procedure for completely bounded multipliers on a locally compact quantum group with respect to a compact quantum subgroup. As a consequence we show that central approximation properties of discrete quantum groups are equivalent to the corresponding approximation properties of their Drinfeld doubles.
Matthew Daws +2 more
wiley +1 more source
On generalizing free algebras for a functor
Journal of Logic and Computation, 2013 In this article we introduce a new setting, based on partial algebras, for studying constructions of finitely generated free algebras. We give sufficient conditions under which the finitely generated free algebras for a variety V may be described as the ...
Dion Coumans, S. V. Gool
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