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pro vyhledávání: '"Yasuyoshi Yonezawa"'
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
We construct a braid group action on a homotopy category of $p$-DG modules of a deformed Webster algebra.
Comment: 36 pages. Multiple diagrammatic computations. V2 contains corrections from referee reports. Comments welcome
Comment: 36 pages. Multiple diagrammatic computations. V2 contains corrections from referee reports. Comments welcome
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We construct a 2-representation categorifying the symmetric Howe representation of $\mathfrak{gl}_m$ using a deformation of an algebra introduced by Webster. As a consequence, we obtain a categorical braid group action taking values in a homotopy cat
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Autor:
Yasuyoshi Yonezawa
Publikováno v:
Nagoya Mathematical Journal. 204:69-123
M. Khovanov and L. Rozansky gave a categorification of the HOMFLY-PT polynomial. This study is a generalization of the Khovanov-Rozansky homology. We define a homology associated to the quantum $(sl_n,\land V_n)$ link invariant, where $\land V_n$ is
Autor:
Takuro Sakamoto, Yasuyoshi Yonezawa
Publikováno v:
Hiroshima Math. J. 47, no. 1 (2017), 19-41
In this paper, we reconstruct Kuperberg's $G_2$ web space. We introduce a new web (a trivalent diagram) and new relations between Kuperberg's web diagrams and the new diagram. Using the $G_2$ webs, we define crossing formulas corresponding to R-matri
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