Results 61 to 70 of about 1,637,092 (305)
Forum of Mathematics, SigmaWe introduce a diagrammatic monoidal category, the spin Brauer category, that plays the same role for the spin and pin groups as the Brauer category does for the orthogonal groups.
Peter J. McNamara, Alistair Savage
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Universal Properties in Quantum Theory [PDF]
Electronic Proceedings in Theoretical Computer Science, 2019 We argue that notions in quantum theory should have universal properties in the sense of category theory. We consider the completely positive trace preserving (CPTP) maps, the basic notion of quantum channel.
Mathieu Huot, Sam Staton
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The family Floer functor is faithful [PDF]
, 2014 Family Floer theory yields a functor from the Fukaya category of a symplectic manifold admitting a Lagrangian torus fibration to a (twisted) category of perfect complexes on the mirror rigid analytic space.
M. Abouzaid
semanticscholar +1 more source
Hamiltonian reduction and nearby cycles for mirabolic D-modules [PDF]
, 2015 We study holonomic D-modules on SL_n(C)xC^n, called mirabolic modules, analogous to Lusztig's character sheaves. We describe the supports of simple mirabolic modules.
Bellamy, Gwyn, Ginzburg, Victor
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Geometrical properties of the space of idempotent probability measures
Applied General Topology, 2021 Although traditional and idempotent mathematics are "parallel'', by an application of the category theory we show that objects obtained the similar rules over traditional and idempotent mathematics must not be "parallel''.
Kholsaid Fayzullayevich Kholturayev
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The cube and the burnside category [PDF]
, 2015 In this note we present a combinatorial link invariant that underlies some recent stable homotopy refinements of Khovanov homology of links. The invariant takes the form of a functor between two combinatorial 2-categories, modulo a notion of stable ...
T. Lawson +2 more
semanticscholar +1 more source
, 2016 Considering a (co)homology theory $\mathbb{T}$ on a base category $\mathcal{C}$ as a fragment of a first-order logical theory we here construct an abelian category $\mathcal{A}[\mathbb{T}]$ which is universal with respect to models of $\mathbb{T}$ in ...
Barbieri-Viale, L.
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On a conjecture on aCM and Ulrich sheaves on degeneracy loci
Mathematische Nachrichten, EarlyView.Abstract In this paper, we address a conjecture by Kleppe and Miró‐Roig stating that suitable twists by line bundles (on the smooth locus) of the exterior powers of the normal sheaf of a standard determinantal locus are arithmetically Cohen–Macaulay, and even Ulrich when the locus is linear determinantal.
Vladimiro Benedetti, Fabio Tanturri
wiley +1 more source
A simplification functor for coalgebras
International Journal of Mathematics and Mathematical Sciences, 2006 For an arbitrary-type functor F, the notion of split coalgebras, that is, coalgebras for which the canonical projections onto the simple factor split, generalizes the well-known notion of simple coalgebras. In case F weakly preserves kernels, the passage
Maurice Kianpi, Celestin Nkuimi Jugnia
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No-go theorems for functorial localic spectra of noncommutative rings [PDF]
Electronic Proceedings in Theoretical Computer Science, 2012 Any functor from the category of C*-algebras to the category of locales that assigns to each commutative C*-algebra its Gelfand spectrum must be trivial on algebras of nxn-matrices for n at least 3. The same obstruction applies to the Zariski, Stone, and
Benno van den Berg, Chris Heunen
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