Classification of finite dimensional modules of singly atypical type over the Lie superalgebras sl(m/n)

DOI10.1063/1.533154zbMath1029.17006arXivmath/9906110OpenAlexW3098128176MaRDI QIDQ2737838

Yucai Su

Publication date: 30 August 2001

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9906110

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10)

Related Items (4)

Representation theory of \(\mathfrak{sl}(2|1)\) ⋮ CLASSIFICATION OF INFINITE DIMENSIONAL WEIGHT MODULES OVER THE LIE SUPERALGEBRAsl(2/1) ⋮ Weakly primitive vectors of Kac-modules of the Lie superalgebras sl(m/n) ⋮ On supergroups and their semisimplified representation categories

Cites Work

• On the composition factors of Kac modules for the Lie superalgebras sl(m/n)
• Classification of finite dimensional modules of the lie superalgebra sl(2/1)
• A character formula for singly atypical modules of the lie superalgebra sl(m/n)

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