Results 11 to 20 of about 536,630 (195)
Categorial compositionality: a category theory explanation for the systematicity of human cognition. [PDF]
PLoS Computational Biology, 2010 Classical and Connectionist theories of cognitive architecture seek to explain systematicity (i.e., the property of human cognition whereby cognitive capacity comes in groups of related behaviours) as a consequence of syntactically and functionally ...
Steven Phillips, William H Wilson
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Curtis homomorphisms and the integral Bernstein center for GLn [PDF]
, 2016 We describe two conjectures, one strictly stronger than the other, that give descriptions of the integral Bernstein center for GL_n(F) (that is, the center of the category of smooth W(k)[GL_n(F)]-modules, for F a p-adic field and k an algebraically ...
David Helm
semanticscholar +4 more sources
Normalized characters of symmetric groups and Boolean cumulants via Khovanov's Heisenberg category [PDF]
Journal of Combinatorial Theory, 2021 In this paper, we study relationships between the normalized characters of symmetric groups and the Boolean cumulants of Young diagrams. Specifically, we show that each normalized character is a polynomial of twisted Boolean cumulants with coefficients ...
S. Koshida
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, 2010 We study the representation theory of the invariant subalgebra of the Weyl algebra under a torus action, which we call a “hypertoric enveloping algebra”. We define an analogue of BGG category O for this algebra, and identify it with a certain category of
Tom Braden +3 more
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Representation theory of solitons [PDF]
Journal of High Energy PhysicsSolitons in two-dimensional quantum field theory exhibit patterns of degeneracies and associated selection rules on scattering amplitudes. We develop a representation theory that captures these intriguing features of solitons.
Clay Córdova +2 more
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The relative monoidal center and tensor products of monoidal categories [PDF]
Communications in Contemporary Mathematics, 2018 This paper develops a theory of monoidal categories relative to a braided monoidal category, called augmented monoidal categories. For such categories, balanced bimodules are defined using the formalism of balanced functors. It is shown that there exists
Robert Laugwitz
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On the spectrum and support theory of a finite tensor category [PDF]
Mathematische Annalen, 2021 Finite tensor categories (FTCs) T\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin ...
D. Nakano, Kent B. Vashaw, M. Yakimov
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Support theory for Drinfeld doubles of some infinitesimal group schemes [PDF]
Algebra & Number Theory, 2021 Consider a Frobenius kernel G in a split semisimple algebraic group, in very good characteristic. We provide an analysis of support for the Drinfeld center Z(rep(G)) of the representation category for G, or equivalently for the representation category of
E. Friedlander, C. Negron
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The sustainable semantic foundations of the traditional neighborhoods in the desert cities [PDF]
International Journal of Human Capital in Urban Management, 2022 BACKGROUND AND OBJECTIVES: In cities with a hot and harsh climate, defining space and territory in a sustainable and environmentally manner in urban management and human capital is critical. Cultural values and climatic adaptation played a prominent role
S. Maroofi, M. Valibeigi, A. Shaneh
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A mathematical theory of gapless edges of 2d topological orders. Part II
Nuclear Physics B, 2021 This is the second part of a two-part work on the unified mathematical theory of gapped and gapless edges of 2+1D topological orders. In Part I, we have developed the mathematical theory of chiral gapless edges.
Liang Kong, Hao Zheng
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