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The periplectic Brauer algebra II : decomposition multiplicities

Kevin Coulembier (UGent) and Michael Ehrig
(2018) JOURNAL OF COMBINATORIAL ALGEBRA. 2(1). p.19-46
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Abstract
We determine the Jordan-Holder decomposition multiplicities of projective and cell modules over periplectic Brauer algebras in characteristic zero. These are obtained by developing the combinatorics of certain skew Young diagrams. We also establish a useful relationship with the Kazhdan-Lusztig multiplicities of the periplectic Lie supergroup.
Keywords
Periplectic Lie superalgebra, periplectic Brauer algebra, decomposition multiplicities, (skew) Young diagrams, standardly based algebras

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MLA
Coulembier, Kevin, and Michael Ehrig. “The Periplectic Brauer Algebra II : Decomposition Multiplicities.” JOURNAL OF COMBINATORIAL ALGEBRA, vol. 2, no. 1, European Mathematical Publishing House, 2018, pp. 19–46, doi:10.4171/jca/2-1-2.
APA
Coulembier, K., & Ehrig, M. (2018). The periplectic Brauer algebra II : decomposition multiplicities. JOURNAL OF COMBINATORIAL ALGEBRA, 2(1), 19–46. https://doi.org/10.4171/jca/2-1-2
Chicago author-date
Coulembier, Kevin, and Michael Ehrig. 2018. “The Periplectic Brauer Algebra II : Decomposition Multiplicities.” JOURNAL OF COMBINATORIAL ALGEBRA 2 (1): 19–46. https://doi.org/10.4171/jca/2-1-2.
Chicago author-date (all authors)
Coulembier, Kevin, and Michael Ehrig. 2018. “The Periplectic Brauer Algebra II : Decomposition Multiplicities.” JOURNAL OF COMBINATORIAL ALGEBRA 2 (1): 19–46. doi:10.4171/jca/2-1-2.
Vancouver
1.
Coulembier K, Ehrig M. The periplectic Brauer algebra II : decomposition multiplicities. JOURNAL OF COMBINATORIAL ALGEBRA. 2018;2(1):19–46.
IEEE
[1]
K. Coulembier and M. Ehrig, “The periplectic Brauer algebra II : decomposition multiplicities,” JOURNAL OF COMBINATORIAL ALGEBRA, vol. 2, no. 1, pp. 19–46, 2018.
@article{8550964,
  abstract     = {{We determine the Jordan-Holder decomposition multiplicities of projective and cell modules over periplectic Brauer algebras in characteristic zero. These are obtained by developing the combinatorics of certain skew Young diagrams. We also establish a useful relationship with the Kazhdan-Lusztig multiplicities of the periplectic Lie supergroup.}},
  author       = {{Coulembier, Kevin and Ehrig, Michael}},
  issn         = {{2415-6302}},
  journal      = {{JOURNAL OF COMBINATORIAL ALGEBRA}},
  keywords     = {{Periplectic Lie superalgebra,periplectic Brauer algebra,decomposition multiplicities,(skew) Young diagrams,standardly based algebras}},
  language     = {{eng}},
  number       = {{1}},
  pages        = {{19--46}},
  publisher    = {{European Mathematical Publishing House}},
  title        = {{The periplectic Brauer algebra II : decomposition multiplicities}},
  url          = {{http://doi.org/10.4171/jca/2-1-2}},
  volume       = {{2}},
  year         = {{2018}},
}
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