Author

S. Gelaki

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Preprint Oct 2026

Twisting of affine algebraic groups, III

Let $G$ be an affine algebraic group over $\C$ and let $J$ be a Hopf $2$-cocycle for $\Os(G)$. We prove that one-sided cocycle twisting preserves Gelfand--Kirillov dimension and that $\Os(G)_J$ is simple if and only if $J$ is minimal. If $H$ is the support of $J$, we identify the primitive and maximal spectra of $\Os(G...

S. Gelaki · 0 citations

Preprint Jul 2026

Hopf $2$-cocycles for certain affine algebraic reductive groups

Let $G$ be an affine algebraic reductive group over $\mathbb{C}$ whose identity component is a torus $T$, and let $K:=G/T$. We realize $\Rep(G)$ as an equivariantization $\Rep(T)^K$ and describe its finite indecomposable semisimple module categories in terms of equivariant module-category data over $\Rep(T)$. For such...

Shlomo Gelaki · 0 citations