Irreducible representations of the exceptional Cheng-Kac superalgebra

DOI10.1090/S0002-9947-2014-06066-2zbMath1416.17024arXiv1204.0713WikidataQ101087538 ScholiaQ101087538MaRDI QIDQ3190932

Consuelo Martínez, Efim I. Zelmanov

Publication date: 19 September 2014

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

Full work available at URL: https://arxiv.org/abs/1204.0713

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Finite-dimensional structures of Jordan algebras (17C55) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Super structures (17C70)

Related Items (13)

Classification of finite irreducible conformal modules for K4′ ⋮ Representations of super deformation of Heisenberg-Virasoro type Lie conformal algebras ⋮ Local nilpotency of the McCrimmon radical of a Jordan system ⋮ Classification of finite irreducible conformal modules over Lie conformal superalgebras of Block type ⋮ On the Hochschild cohomologies of associative conformal algebras with a finite faithful representation ⋮ Computation of the homology of the complexes of finite Verma modules for \(K'_4\) ⋮ Homology of the complexes of finite Verma modules over \(CK_6\) ⋮ Representations of the associated Lie conformal algebra of the \(\mathcal{W}_{1 + \infty}\) algebra and beyond ⋮ Classification of finite irreducible conformal modules over a class of Lie conformal algebras of Block type ⋮ JORDAN BIMODULES OVER THE SUPERALGEBRA M_1|1 ⋮ Graded Modules over Superconformal Algebras ⋮ Finite irreducible conformal modules over the Lie conformal superalgebra \(\mathcal{S}(p)\) ⋮ Representations of twisted infinite Lie conformal superalgebras

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• Specializations of Jordan Superalgebras
• Representation theory of Jordan superalgebras I
• Irreducible modules over finite simple Lie conformal superalgebras of type K
• Lie superalgebras graded by P ( n ) and Q ( n )
• Simple finite-dimensional Jordan superalgebras of prime characteristic
• Lie superalgebras of string theories.

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