Results 11 to 20 of about 93,496 (268)
Transactions of the American Mathematical Society, 1958 "Adjoint functors assist in reincorporating the subjective into its rightful place as a part of the objective so that it can organically reflect the objective" (Lawvere and Rosebrugh (2003), Sets for Mathematics, Cambridge University Press, p. 239).
Daniel M. Kan
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A geometric Schur functor [PDF]
Selecta Mathematica, 2014 15 pages, v2 - notation made consistent and assumptions on coefficients clarified.
C. Mautner
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Modified Traces and the Nakayama Functor [PDF]
Algebras and Representation Theory, 2021 We organize the modified trace theory with the use of the Nakayama functor of finite abelian categories. For a linear right exact functor Σ on a finite abelian category M ${\mathscr{M}}$ , we introduce the notion of a Σ -twisted trace on the class Proj (
Taiki Shibata, K. Shimizu
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The tensor product of functors; satellites; and derived functors
Journal of Algebra, 1968 Janet L Fisher
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The six-functor formalism for rigid analytic motives [PDF]
Forum of Mathematics, Sigma, 2020 We offer a systematic study of rigid analytic motives over general rigid analytic spaces, and we develop their six-functor formalism. A key ingredient is an extended proper base change theorem that we are able to justify by reducing to the case of ...
J. Ayoub +2 more
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t-Structures with Grothendieck hearts via functor categories [PDF]
Selecta Mathematica, 2020 We study when the heart of a t -structure in a triangulated category $$\mathcal {D}$$ D with coproducts is AB5 or a Grothendieck category. If $$\mathcal {D}$$ D satisfies Brown representability, a t -structure has an AB5 heart with an injective ...
Manuel Saor'in, Jan Št’ovíček
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The universal six-functor formalism [PDF]
Annals of K-theory, 2020 We prove that Morel-Voevodsky's stable $\mathbb{A}^1$-homotopy theory affords the universal six-functor formalism.
B. Drew, Martin Gallauer
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Jacobi–Trudi Identity and Drinfeld Functor for Super Yangian [PDF]
International mathematics research notices, 2020 We show that the quantum Berezinian that gives a generating function of the integrals of motions of XXX spin chains associated to super Yangian $\textrm{Y}(\mathfrak{g}\mathfrak{l}_{m|n})$ can be written as a ratio of two difference operators of orders
Kang Lu, E. Mukhin
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Shiraishi functor and non-Kerov deformation of Macdonald polynomials [PDF]
The European Physical Journal C, 2020 We suggest a further generalization of the hypergeometric-like series due to M. Noumi and J. Shiraishi by substituting the Pochhammer symbol with a nearly arbitrary function.
H. Awata +3 more
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Comparing the orthogonal and unitary functor calculi [PDF]
Homology, Homotopy and Applications, 2020 The orthogonal and unitary calculi give a method to study functors from the category of real or complex inner product spaces to the category of based topological spaces.
Niall Taggart
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