The Gelfand-Naimark-Segal construction for unitary representatins of \mathbb Z₂ⁿ-graded Lie supergroups

2017/09/19 by Mohammad Mohammadi, Mohammadi, Mohammad, Hadi Salmasian +1
Mathematics · #17B75 #22D10 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1709.06546

openalex publication_date 2017/09/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We establish a Gelfand-Naimark-Segal construction which yields a correspondence between cyclic unitary representations and positive definite superfunctions of a general class of \mathbb Z₂ⁿ-graded Lie supergroups.

Citations

• The Frobenius theorem for ℤⁿ₂-supermanifolds

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