Representations of Super W(2,2) algebra \mathfrakL

2017/05/26 by Hao Wang, Wang, Hao, Huanxia Fa +3
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1705.09452

openalex publication_date 2017/05/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In paper, we study the representation theory of super W(2,2) algebra \mathfrakL. We prove that \mathfrakL has no mixed irreducible modules and give the classification of irreducible modules of intermediate series. We determinate the conjugate-linear anti-involution of \mathfrakL and give the unitary modules of intermediate series.

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