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On characters and superdimensions of some infinite-dimensional irreducible representations of osp(m|n)

(2018) PHYSICS OF ATOMIC NUCLEI. 81(6). p.939-944
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Abstract
Chiral spinors and self dual tensors of the Lie superalgebra osp(m|n) are infinite-dimensional representations belonging to the class of representations with Dynkin labels [0,..., 0, p]. We show that the superdimension of [0,..., 0, p] coincides with the dimension of a so(m - n) representation. When the superdimension is finite, these representations could play a role in supergravity models. Our technique is based on expansions of characters in terms of supersymmetric Schur functions. In the process of studying these representations, we obtain new character expansions.
Keywords
Characters, superdimensions, Lie superalgebras, LIE, SUPERGRAVITY

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MLA
Stoilova, NI, et al. “On Characters and Superdimensions of Some Infinite-Dimensional Irreducible Representations of Osp(M|n).” PHYSICS OF ATOMIC NUCLEI, vol. 81, no. 6, 2018, pp. 939–44, doi:10.1134/S1063778818060285.
APA
Stoilova, N., Thierry-Mieg, J., & Van der Jeugt, J. (2018). On characters and superdimensions of some infinite-dimensional irreducible representations of osp(m|n). PHYSICS OF ATOMIC NUCLEI, 81(6), 939–944. https://doi.org/10.1134/S1063778818060285
Chicago author-date
Stoilova, NI, J Thierry-Mieg, and Joris Van der Jeugt. 2018. “On Characters and Superdimensions of Some Infinite-Dimensional Irreducible Representations of Osp(M|n).” PHYSICS OF ATOMIC NUCLEI 81 (6): 939–44. https://doi.org/10.1134/S1063778818060285.
Chicago author-date (all authors)
Stoilova, NI, J Thierry-Mieg, and Joris Van der Jeugt. 2018. “On Characters and Superdimensions of Some Infinite-Dimensional Irreducible Representations of Osp(M|n).” PHYSICS OF ATOMIC NUCLEI 81 (6): 939–944. doi:10.1134/S1063778818060285.
Vancouver
1.
Stoilova N, Thierry-Mieg J, Van der Jeugt J. On characters and superdimensions of some infinite-dimensional irreducible representations of osp(m|n). PHYSICS OF ATOMIC NUCLEI. 2018;81(6):939–44.
IEEE
[1]
N. Stoilova, J. Thierry-Mieg, and J. Van der Jeugt, “On characters and superdimensions of some infinite-dimensional irreducible representations of osp(m|n),” PHYSICS OF ATOMIC NUCLEI, vol. 81, no. 6, pp. 939–944, 2018.
@article{8606455,
  abstract     = {{Chiral spinors and self dual tensors of the Lie superalgebra osp(m|n) are infinite-dimensional representations belonging to the class of representations with Dynkin labels [0,..., 0, p]. We show that the superdimension of [0,..., 0, p] coincides with the dimension of a so(m - n) representation. When the superdimension is finite, these representations could play a role in supergravity models. Our technique is based on expansions of characters in terms of supersymmetric Schur functions. In the process of studying these representations, we obtain new character expansions.}},
  author       = {{Stoilova, NI and Thierry-Mieg, J and Van der Jeugt, Joris}},
  issn         = {{1063-7788}},
  journal      = {{PHYSICS OF ATOMIC NUCLEI}},
  keywords     = {{Characters,superdimensions,Lie superalgebras,LIE,SUPERGRAVITY}},
  language     = {{eng}},
  number       = {{6}},
  pages        = {{939--944}},
  title        = {{On characters and superdimensions of some infinite-dimensional irreducible representations of osp(m|n)}},
  url          = {{http://doi.org/10.1134/S1063778818060285}},
  volume       = {{81}},
  year         = {{2018}},
}

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