Zobrazeno 1 - 10 of 31 pro vyhledávání: '"Marco Mackaay"'
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Akademický článek
The Diagrammatic Soergel Category and sl(N)-Foams, for N≥4
Autor: Marco Mackaay, Pedro Vaz
Publikováno v: International Journal of Mathematics and Mathematical Sciences, Vol 2010 (2010)
For each N≥4, we define a monoidal functor from Elias and Khovanov's diagrammatic version of Soergel's category of bimodules to the category of sl(N) foams defined by Mackaay, Stošić, and Vaz. We show that through these functors Soergel's categor
Externí odkaz: https://doaj.org/article/996e91ca75584de9a9e0e438669476ca
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2
slN-web categories and categorified skew Howe duality
Autor: Yasuyoshi Yonezawa, Marco Mackaay
Publikováno v: Journal of Pure and Applied Algebra. 223:2173-2229
In this paper we show how the colored Khovanov–Rozansky sl N -matrix factorizations, due to Wu [45] and Y.Y. [46] , [47] , can be used to categorify the type A quantum skew Howe duality defined by Cautis, Kamnitzer and Morrison in [14] . In particu
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::c0b3028d64ae4f1ace8d0097c0f1a81d
https://doi.org/10.1016/j.jpaa.2018.07.013
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3
Finitary birepresentations of finitary bicategories
Autor: Vanessa Miemietz, Marco Mackaay, Daniel Tubbenhauer, Volodymyr Mazorchuk, Xiaoting Zhang
In this paper, we discuss the generalization of finitary $2$-representation theory of finitary $2$-categories to finitary birepresentation theory of finitary bicategories. In previous papers on the subject, the classification of simple transitive $2$
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d114122ab73982540053903c502891d6
http://arxiv.org/abs/2008.01658
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4
Simple transitive 2-representations for some 2-subcategories of Soergel bimodules
Autor: Volodymyr Mazorchuk, Marco Mackaay
Publikováno v: Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
We classify simple transitive $2$-representations of certain $2$-sub\-ca\-te\-go\-ri\-es of the $2$-category of Soergel bimodules over the coinvariant algebra in Coxeter types $B_2$ and $I_2(5)$. In the $I_2(5)$ case it turns out that simple transiti
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d0d24869420061f856ae60c71cc64206
https://doi.org/10.1016/j.jpaa.2016.07.006
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6
Analogues of centralizer subalgebras for fiat 2-categories and their 2-representations
Autor: Xiaoting Zhang, Vanessa Miemietz, Marco Mackaay, Volodymyr Mazorchuk
Publikováno v: Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
The main result of this paper establishes a bijection between the set of equivalence classes of simple transitive 2-representations with a fixed apex ${\mathcal{J}}$ of a fiat 2-category $\mathscr{C}$ and the set of equivalence classes of faithful si
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7c0e898296e1c29e2244072787711187
http://arxiv.org/abs/1802.02078
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7
Categorified skew Howe duality and comparison of knot homologies
Autor: Marco Mackaay, Ben Webster
Publikováno v: Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
In this paper, we show an isomorphism of homological knot invariants categorifying the Reshetikhin-Turaev invariants for $\mathfrak{sl}_n$. Over the past decade, such invariants have been constructed in a variety of different ways, using matrix facto
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3e9d618ccc61aa8d4705853a38b83734
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8
Trihedral Soergel bimodules
Autor: Daniel Tubbenhauer, Vanessa Miemietz, Volodymyr Mazorchuk, Marco Mackaay
Publikováno v: Fundamenta Mathematicae
Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
The quantum Satake correspondence relates dihedral Soergel bimodules to the semisimple quotient of the quantum $\mathfrak{sl}_2$ representation category. It also establishes a precise relation between the simple transitive $2$-representations of both
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a84fc18f53538aa5bcac6706672c2119
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9
A diagrammatic categorification of the affineq-Schur algebra S(n,n) forn≥ 3
Autor: Marco Mackaay, Anne-Laure Thiel
Publikováno v: Pacific Journal of Mathematics. 278:201-233
This paper is a follow-up to (MT13). In that paper we categorified the affine q-schur algebra b(n,r) for 2 < r < n, using a quotient of Khovanov and Lauda's categorification o f Uq(bln) (KL09, KL11, KL10). In this paper we categorify b(n,n) for n �
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::ba2f42a59532243da4a22d9bf17df368
https://doi.org/10.2140/pjm.2015.278.201
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10
Degenerate cyclotomic Hecke algebras and higher level Heisenberg categorification
Autor: Marco Mackaay, Alistair Savage
Publikováno v: Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
We associate a monoidal category $\mathcal{H}^\lambda$ to each dominant integral weight $\lambda$ of $\widehat{\mathfrak{sl}}_p$ or $\mathfrak{sl}_\infty$. These categories, defined in terms of planar diagrams, act naturally on categories of modules
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5eaf1082b74242a1b69337686bdf8f49
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