Dirac operators on quadratic Lie superalgebras
From MaRDI portal
Publication:2230566
DOI10.1007/s10114-021-0556-6zbMath1473.17026OpenAlexW3197135112MaRDI QIDQ2230566
Publication date: 24 September 2021
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10114-021-0556-6
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Clifford algebras, spinors (15A66)
Cites Work
- Unnamed Item
- Unnamed Item
- Clifford algebra analogue of the Hopf-Koszul-Samelson theorem, the \(\rho\)-decomposition \(C({\mathfrak g})=\text{End }V_ \rho\otimes C(P)\), and the \({\mathfrak g}\)-module structure of \(\bigwedge {\mathfrak g}\)
- Generalized Clifford theory for graded spaces
- Superconformal current algebras and their unitary representations
- Multiplets of representations and Kostant's Dirac operator for equal rank loop groups
- A cubic Dirac operator and the emergence of Euler number multiplets of representations for equal rank subgroups
- The Kostant invariant and special \(\varepsilon\)-orthogonal representations for \(\varepsilon\)-quadratic colour Lie algebras
- Multiplets of representations, twisted Dirac operators and Vogan's conjecture in affine setting
- Dirac cohomology for Lie superalgebras
- Dirac operator and the discrete series
- Dirac cohomology, unitary representations and a proof of a conjecture of Vogan
- Dirac operators and cohomology for Lie superalgebras
- Kostant’s cubic Dirac operator of Lie superalgebras
- Clifford Algebras and Lie Theory
- Dirac operators and the very strange formula for Lie superalgebras
- Lie superalgebras
- The Weyl algebra and the structure of all Lie superalgebras of Riemannian type
This page was built for publication: Dirac operators on quadratic Lie superalgebras
