Results 1 to 10 of about 1,796,890 (178)
Drinfeld Center and Representation Theory for Monoidal Categories [PDF]
Communications in Mathematical Physics, 2016 Motivated by the relation between the Drinfeld double and central property (T) for quantum groups, given a rigid C*-tensor category C and a unitary half-braiding on an ind-object, we construct a *-representation of the fusion algebra of C. This allows us to present an alternative approach to recent results of Popa and Vaes, who defined C*-algebras of ...
Sergey Neshveyev, Makoto Yamashita
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The center of monoidal 2-categories in 3+1D Dijkgraaf-Witten theory [PDF]
Advances in Mathematics, 2019 In this work, for a finite group $G$ and a 4-cocycle $ \in Z^4(G, \mathbf{k}^\times)$, we compute explicitly the center of the monoidal 2-category $\operatorname{2Vec}_G^ $ of $ $-twisted $G$-graded 1-categories of finite dimensional $\mathbf{k}$-vector spaces.
Liang Kong, Tian Yin, Shan Zhou
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Centers and homotopy centers in enriched monoidal categories [PDF]
Advances in Mathematics 230 (2012), 1811-1858, 2011 We consider a theory of centers and homotopy centers of monoids in monoidal categories which themselves are enriched in duoidal categories. Duoidal categories (introduced by Aguillar and Mahajan under the name 2-monoidal categories) are categories with ...
Batanin, M., Markl, M.
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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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Frobenius and the derived centers of algebraic theories [PDF]
Math. Z. 285 (2017) 1181-1203, 2014 We show that the derived center of the category of simplicial algebras over every algebraic theory is homotopically discrete, with the abelian monoid of components isomorphic to the center of the category of discrete algebras. For example, in the case of
Dwyer, William G., Szymik, Markus
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Functoriality of the center of an algebra [PDF]
Advances in Mathematics 285 (2015) 811-876, 2013 The notion of the center of an algebra over a field k has a far reaching generalization to algebras in monoidal categories. The center then lives in the monoidal center of the original category. This generalization plays an important role in the study of
Davydov, Alexei +2 more
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On continuous 2-category symmetries and Yang-Mills theory
Journal of High Energy Physics, 2022 We study a 4d gauge theory U(1) N−1 ⋊ S N obtained from a U(1) N−1 theory by gauging a 0-form symmetry S N . We show that this theory has a global continuous 2-category symmetry, whose structure is particularly rich for N > 2.
Andrea Antinucci +2 more
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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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