Restricted Kac modules of Hamiltonian Lie superalgebras of odd type

DOI10.1007/s00605-014-0700-9zbMath1332.17018arXiv1403.0063OpenAlexW3100151659MaRDI QIDQ889027

Wende Liu, Jixia Yuan

Publication date: 6 November 2015

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.0063

zbMATH Keywords

Hamiltonian Lie superalgebras of odd typerestricted Kac modulesroot reflections

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Lie algebras of vector fields and related (super) algebras (17B66) Modular Lie (super)algebras (17B50)

Related Items (6)

Generalized restricted representations of the Zassenhaus superalgebras ⋮ Restricted Kac modules for special contact Lie superalgebras of odd type ⋮ Restricted Kac modules of special Hamiltonian Lie superalgebras of odd type ⋮ Finite-dimensional special contact superalgebras of odd type over a field of prime characteristic ⋮ On irreducible representations of the Zassenhaus superalgebras with \(p\)-characters of height 0 ⋮ Character formulas for simple modules of Hamiltonian Lie superalgebras of odd type

Cites Work

• Unnamed Item
• Unnamed Item
• Representations of the restricted Cartan type Lie superalgebra \(W(m,n,1)\)
• Restricted representations of the Witt superalgebras
• Classification of infinite-dimensional simple linearly compact Lie superalgebras
• Finite-dimensional Lie superalgebras of Cartan type over fields of prime characteristic
• Non-restricted representations of simple Lie superalgebras of special type and Hamiltonian type
• On restricted representations of the extended special type Lie superalgebra \({\bar{S}(m, n, 1)}\)
• Restricted representations of Lie superalgebras of Hamiltonian type
• Superderivations for modular graded Lie superalgebras of Cartan-type
• Character formulas for restricted simple modules of the special superalgebras
• Finite-dimensional odd Hamiltonian superalgebras over a field of prime characteristic
• Analogs of the Orthogonal, Hamiltonian, Poisson, and Contact Lie Superalgebras in Characteristic 2

This page was built for publication: Restricted Kac modules of Hamiltonian Lie superalgebras of odd type