Classification of semi-weight representations of reduced stated skein algebras

H. Karuo; J. Korinman

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Classification of semi-weight representations of reduced stated skein algebras

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arxiv 2303.09433 v3 pith:QC2RL5YX submitted 2023-03-16 math.QA

H. Karuo , J. Korinman This is my paper · ORCID

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keywords boundaryalgebrascomponentskeinstatedreducedrepresentationssemi-weight

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We classify the finite dimensional semi-weight representations of the reduced stated skein algebras at odd roots of unity of connected marked surfaces which either have a boundary component with at least two boundary edges or which do not have any unmarked boundary component. We deduce computations of the PI-degrees and Azumaya loci of unreduced stated skein algebras of essential surfaces having at most one boundary arc per boundary component and of the unrestricted quantum moduli algebras of lattice gauge field theory.

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