Cubic Dirac operators and the strange Freudenthal-de Vries formula for colour Lie algebras

DOI10.1007/s00031-021-09680-xOpenAlexW3009717221WikidataQ115389358 ScholiaQ115389358MaRDI QIDQ2095449

Philippe Meyer

Publication date: 16 November 2022

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.01145

Mathematics Subject Classification ID

Lie algebras and Lie superalgebras (17Bxx) Lie groups (22Exx) General nonassociative rings (17Axx)

Related Items (2)

\(\mathbb{Z}_2 \times \mathbb{Z}_2\)-graded mechanics: the quantization ⋮ A classification of lowest weight irreducible modules over Z22-graded extension of osp(1|2)

Cites Work

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• Generalized Clifford theory for graded spaces
• Dirac cohomology for symplectic reflection algebras
• A geometric construction of the discrete series for semisimple Lie groups
• Oscillator representations for orthosymplectic algebras
• Dirac cohomology for graded affine Hecke algebras.
• 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
• 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
• Casimir elements of ε Lie algebras
• Generalized Lie Elements
• Graded tensor calculus
• On the ‘strange formula’ of Freudenthal and de Vries
• Generalized Lie algebras
• Sequences of Z2⊗Z2 graded Lie algebras and superalgebras
• Kostant’s cubic Dirac operator of Lie superalgebras
• Dirac Induction for Rational Cherednik Algebras
• Dirac operators and the very strange formula for Lie superalgebras
• The Dirac cohomology of a finite dimensional representation
• Dirac operators and Lie algebra cohomology
• The Weyl algebra and the structure of all Lie superalgebras of Riemannian type

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