Noncubic Dirac operators for finite dimensional modules
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Publication:5034860
zbMath1497.17026arXiv2209.12033MaRDI QIDQ5034860
Spyridon Afentoulidis-Almpanis
Publication date: 21 February 2022
Full work available at URL: https://arxiv.org/abs/2209.12033
Dirac operatorshighest weight representationscomplex semisimple Lie algebrasDirac cohomologyWeyl inequalities
Representation theory for linear algebraic groups (20G05) Lie algebras of linear algebraic groups (17B45)
Related Items (2)
Dirac cohomology for the BGG category \(\mathcal{O} \) ⋮ Noncubic Dirac operators for finite dimensional modules
Cites Work
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- Dirac cohomology of some Harish-Chandra modules
- A geometric construction of the discrete series for semisimple Lie groups
- Equivariant \(\eta\)-invariants on homogeneous spaces
- Connections on naturally reductive spaces, their Dirac operator and homogeneous models in string theory
- A cubic Dirac operator and the emergence of Euler number multiplets of representations for equal rank subgroups
- Dirac operator and the discrete series
- Principal series representations and harmonic spinors
- Dirac cohomology, unitary representations and a proof of a conjecture of Vogan
- Symmetry, Representations, and Invariants
- The Dirac Operator on Homogeneous Spaces and Representations of Reductive Lie Groups I
- The Dirac Operator on Homogeneous Spaces and Representations of Reductive Lie Groups II
- Noncubic Dirac operators for finite dimensional modules
- Harmonic Spinors on Reductive Homogeneous Spaces
- The Dirac cohomology of a finite dimensional representation
- Lie groups beyond an introduction
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