Injective Modules for Quantum Algebras

DOI10.2307/2374770zbMath0755.17005OpenAlexW2330101626WikidataQ114042752 ScholiaQ114042752MaRDI QIDQ4017441

Henning Haahr Andersen, Kexin Wen, Patrick Polo

Publication date: 16 January 1993

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2374770

zbMATH Keywords

charactersinjective moduleSteinberg modulesemisimple algebraic groupfinite-dimensional quantum algebrafirst Frobenius kernelrestricted highest weight

Mathematics Subject Classification ID

Related Items (25)

On the center of the small quantum group. ⋮ Quantum groups, the loop Grassmannian, and the Springer resolution ⋮ Log-modular quantum groups at even roots of unity and the quantum Frobenius I ⋮ Derived counterparts of fusion categories of quantum groups ⋮ Special biserial coalgebras and representations of quantum \(SL(2)\). ⋮ A counterpart of the Verlinde algebra for the small quantum group. ⋮ Tensoring with small quantized representations ⋮ Cohomology of infinitesimal quantum algebras ⋮ A new approach to the Koszul property in representation theory using graded subalgebras ⋮ A splitting of the quantum Frobenius morphism ⋮ Tensor products of quantized tilting modules ⋮ Cohomology of infinitesimal quantum groups. I ⋮ Representations and cohomology for Frobenius-Lusztig kernels ⋮ Cohomology of quantum groups at roots of unity ⋮ On p -filtrations of Weyl modules ⋮ Quantized hyperalgebras of rank 1 ⋮ Category \(\mathcal O\) for quantum groups ⋮ Langlands duality for representations and quantum groups at a root of unity ⋮ Cohomology of line bundles on the flag variety for type \(G_2\). ⋮ Remarks on the derived center of small quantum groups ⋮ Highest weight modules for algebraic groups arising from quantum groups ⋮ Representations of the small nonstandard quantum groups X¯q(A1) ⋮ QUANTUM GROUPS AT ROOTS OF UNITY AND MODULARITY ⋮ A note on the characters of the cohomology of induced vector bundles on \(G\)/\(B\) in characteristic \(p\). ⋮ Another realization of the category of modules over the small quantum group

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