Totally Aspherical Parameters for Cherednik Algebras

DOI10.1007/978-3-030-82007-7_2zbMath1497.20009arXiv1409.3965OpenAlexW36183932MaRDI QIDQ5044552

Ivan V. Losev

Publication date: 1 November 2022

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.3965

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Representations of quivers and partially ordered sets (16G20) Associative rings and algebras arising under various constructions (16S99)

Cites Work

• Unnamed Item
• An algebraic approach to the \(\mathrm{KZ}\)-functor for rational Cherednik algebras associated with cyclic groups
• Completions of symplectic reflection algebras.
• Isomorphisms of quantizations via quantization of resolutions
• The invariant holonomic system on a semisimple Lie algebra
• On the category \(\mathcal O\) for rational Cherednik algebras.
• Symplectic reflection algebras, Calogero-Moser space, and deformed Harish-Chandra homomorphism.
• Wall-crossing functors for quantized symplectic resolutions: perversity and partial Ringel dualities
• On category \(\mathcal O\) for cyclotomic rational Cherednik algebras.
• Parabolic induction and restriction functors for rational Cherednik algebras.
• Derived equivalences for symmetric groups and \(\mathfrak{sl}_2\)-categorification.
• Derived equivalence for quantum symplectic resolutions
• On isomorphisms of certain functors for Cherednik algebras
• Symplectic reflection algebras
• A REMARK ON RATIONAL CHEREDNIK ALGEBRAS AND DIFFERENTIAL OPERATORS ON THE CYCLIC QUIVER
• Heisenberg algebras and rational double affine Hecke algebras
• Crystals of Fock spaces and cyclotomic rational double affine Hecke algebras