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Equivariant Tilting Modules, Pfaffian Varieties and Noncommutative Matrix Factorizations
Symmetry, integrability and geometry: methods and applications, Tome 17 (2021) Cet article a éte moissonné depuis la source Math-Net.Ru

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We show that equivariant tilting modules over equivariant algebras induce equivalences of derived factorization categories. As an application, we show that the derived category of a noncommutative resolution of a linear section of a Pfaffian variety is equivalent to the derived factorization category of a noncommutative gauged Landau–Ginzburg model $(\Lambda,\chi, w)^{\mathbb{G}_m}$, where $\Lambda$ is a noncommutative resolution of the quotient singularity $W/\operatorname{GSp}(Q)$ arising from a certain representation $W$ of the symplectic similitude group $\operatorname{GSp}(Q)$ of a symplectic vector space $Q$.
Keywords: equivariant tilting module, Pfaffian variety, matrix factorization. 
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     author = {Yuki Hirano},
     title = {Equivariant {Tilting} {Modules,} {Pfaffian} {Varieties} and {Noncommutative} {Matrix} {Factorizations}},
     journal = {Symmetry, integrability and geometry: methods and applications},
     year = {2021},
     volume = {17},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2021_17_a54/}
}
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Yuki Hirano. Equivariant Tilting Modules, Pfaffian Varieties and Noncommutative Matrix Factorizations. Symmetry, integrability and geometry: methods and applications, Tome 17 (2021). http://geodesic.mathdoc.fr/item/SIGMA_2021_17_a54/

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