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Representations of the super Jordan plane

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Abstract

It is shown that the finite-dimensional simple representations of the super Jordan plane \(\mathcal {B}\) are one-dimensional. The indecomposable representations of dimension 2 and 3 of \(\mathcal {B}\) are classified. Two families of indecomposable representations of \(\mathcal {B}\) of arbitrary dimension are presented.

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References

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Authors and Affiliations

  1. CIEM (CONICET), FaMAF-Universidad Nacional de Córdoba, Medina Allende s/n, Ciudad Universitaria, 5000, Córdoba, Argentina

    Nicolás Andruskiewitsch

  2. Departamento de Matemática, Universidade Federal de Santa Maria, Santa Maria, RS, 97105-900, Brazil

    Dirceu Bagio, Saradia Della Flora & Daiana Flôres

Authors
  1. Nicolás Andruskiewitsch
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  2. Dirceu Bagio
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  3. Saradia Della Flora
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  4. Daiana Flôres
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Corresponding author

Correspondence to Dirceu Bagio.

Additional information

Dedicado a Antonio Paques em comemoração ao seu aniversário de 70 anos, com gratidão e amizade

N. A. was partially supported by CONICET, Secyt (UNC) and the MathAmSud project GR2HOPF.

D. B. and D. F. were supported by FAPERGS 2193-25.51/13-3, MATHAMSUD.

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Andruskiewitsch, N., Bagio, D., Della Flora, S. et al. Representations of the super Jordan plane. São Paulo J. Math. Sci. 11, 312–325 (2017). https://doi.org/10.1007/s40863-017-0063-y

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  • DOI: https://doi.org/10.1007/s40863-017-0063-y

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