Rigid dualizing complex for quantum enveloping algebras and algebras of generalized differential operators

DOI10.1016/j.jalgebra.2003.12.001zbMath1127.17012OpenAlexW2094241642MaRDI QIDQ1883048

Sophie Chemla

Publication date: 1 October 2004

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2003.12.001

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Syzygies, resolutions, complexes in associative algebras (16E05) Rings of differential operators (associative algebraic aspects) (16S32)

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Homological properties of quantized coordinate rings of semisimple groups ⋮ Cleft extensions of Koszul twisted Calabi-Yau algebras ⋮ Duality features of left Hopf algebroids ⋮ Homological unimodularity and Calabi-Yau condition for Poisson algebras ⋮ Twisted Calabi-Yau property of right coideal subalgebras of quantized enveloping algebras ⋮ Rigid dualizing complexes over quantum homogeneous spaces. ⋮ Calabi-Yau pointed Hopf algebras of finite Cartan type. ⋮ Holonomic and perverse logarithmic D-modules ⋮ Dualising complexes and twisted Hochschild (co)homology for Noetherian Hopf algebras. ⋮ THE CALABI–YAU PROPERTY OF TWISTED SMASH PRODUCTS ⋮ The Calabi-Yau property of smash products. ⋮ Smash products of Calabi-Yau algebras by Hopf algebras ⋮ Cohomology for quantum groups via the geometry of the nullcone ⋮ Twisted Calabi-Yau property of Ore extensions. ⋮ Cohomology rings for quantized enveloping algebras ⋮ The de Rham functor for logarithmic D-modules

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