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pro vyhledávání: '"Gelaki, Shlomo"'
Autor:
Brown, Ken A., Gelaki, Shlomo
We study the algebraic structure and representation theory of the Hopf algebras ${}_J\mathcal{O}(G)_J$ when $G$ is an affine algebraic unipotent group over $\mathbb{C}$ with $\mathrm{dim}(G) = n$ and $J$ is a Hopf $2$-cocycle for $G$. The cotriangula
Externí odkaz:
http://arxiv.org/abs/2407.07005
Autor:
Gelaki, Shlomo, Sanmarco, Guillermo
Let $\mathcal{C}:=\mathcal{C}(G,\omega,H,\psi)$ be a finite group scheme-theoretical category over an algebraically closed field of characteristic $p\ge 0$ as defined by the first author. For any indecomposable exact module category over $\mathcal{C}
Externí odkaz:
http://arxiv.org/abs/2403.08785
Autor:
Gelaki, Shlomo, Sanmarco, Guillermo
Let $\mathscr {C}(G,H,\psi)$ be a finite group scheme-theoretical category over an algebraically closed field of characteristic $p\ge 0$ as introduced by the first author. For any indecomposable exact module category over $\mathscr {C}(G,H,\psi)$, we
Externí odkaz:
http://arxiv.org/abs/2306.10205
Autor:
Basak, Tathagata, Gelaki, Shlomo
We extend \cite{G} to the nonsemisimple case. We define and study exact factorizations $\B=\A\bullet \C$ of a finite tensor category $\B$ into a product of two tensor subcategories $\A,\C\subset \B$, and relate exact factorizations of finite tensor c
Externí odkaz:
http://arxiv.org/abs/2202.07701
Autor:
Gelaki, Shlomo
We extend \cite[Theorem 4.5]{DGNO} and \cite[Theorem 4.22]{LKW} to positive characteristic (i.e., to the finite, not necessarily fusion, case). Namely, we prove that if $\D$ is a finite non-degenerate braided tensor category over an algebraically clo
Externí odkaz:
http://arxiv.org/abs/2105.13436
Autor:
Gelaki, Shlomo
We use \cite{G} to study the algebra structure of twisted cotriangular Hopf algebras ${}_J\mathcal{O}(G)_{J}$, where $J$ is a Hopf $2$-cocycle for a connected nilpotent algebraic group $G$ over $\mathbb{C}$. In particular, we show that ${}_J\mathcal{
Externí odkaz:
http://arxiv.org/abs/2009.07760
Autor:
Basak, Tathagata, Gelaki, Shlomo
Publikováno v:
In Journal of Algebra 1 October 2023 631:46-71
Autor:
Gelaki, Shlomo
Let $k$ be an algebraically closed field of characteristic $0$ or $p>2$. Let $\mathcal{G}$ be an affine supergroup scheme over $k$. We classify the indecomposable exact module categories over the tensor category ${\rm sCoh}_{\rm f}(\mathcal{G})$ of (
Externí odkaz:
http://arxiv.org/abs/1909.10908
Autor:
Etingof, Pavel, Gelaki, Shlomo
We prove an analog of Deligne's theorem for finite symmetric tensor categories $\mathcal{C}$ with the Chevalley property over an algebraically closed field $k$ of characteristic $2$. Namely, we prove that every such category $\mathcal{C}$ admits a sy
Externí odkaz:
http://arxiv.org/abs/1904.07576
Autor:
Etingof, Pavel, Gelaki, Shlomo
We prove that every finite symmetric integral tensor category $\mathcal{C}$ with the Chevalley property over an algebraically closed field $k$ of characteristic $p>2$ admits a symmetric fiber functor to $\text{sVec}$. This proves Ostrik's conjecture
Externí odkaz:
http://arxiv.org/abs/1901.00528