Barbasch-Sahi algebras and Dirac cohomology

DOI10.1090/tran/7446zbMath1469.16066arXiv1608.07509OpenAlexW2963583640MaRDI QIDQ4633765

Johannes Flake

Publication date: 6 May 2019

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.07509

zbMATH Keywords

PBW deformationsDirac cohomologycentral charactersBarbasch-Sahi algebrasHopf-Hecke algebrasVogan's conjecturepin cover

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Hopf algebras and their applications (16T05)

Related Items

Symplectic Dirac operators for Lie algebras and graded Hecke algebras

Cites Work

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• Poincaré-Birkhoff-Witt deformations of smash product algebras from Hopf actions on Koszul algebras
• Continuous Hecke algebras.
• Dirac cohomology for symplectic reflection algebras
• On category \(\mathcal O\) over triangular generalized Weyl algebras.
• Degenerate affine Hecke algebras and Yangians
• Classification of graded Hecke algebras for complex reflection groups.
• Symplectic reflection algebras, Calogero-Moser space, and deformed Harish-Chandra homomorphism.
• PBW deformations of braided products
• Drinfeld orbifold algebras.
• Poincaré-Birkhoff-Witt theorem for quadratic algebras of Koszul type
• Dirac cohomology for graded affine Hecke algebras.
• A cubic Dirac operator and the emergence of Euler number multiplets of representations for equal rank subgroups
• Hopf-Hecke algebras, infinitesimal Cherednik algebras, and Dirac cohomology
• Dirac operator and the discrete series
• Dirac cohomology, unitary representations and a proof of a conjecture of Vogan
• Poincare-Birkhoff-Witt Theorems
• Affine Hecke Algebras and Their Graded Version
• Hochschild cohomology and graded Hecke algebras
• Functoriality of the BGG Category 𝒪††
• Clifford Algebras and Lie Theory
• Generalized nil-Coxeter algebras, cocommutative algebras, and the PBW property