Decomposing oscillator representations of 𝔬𝔰𝔭 ( 2 n / n ; ℝ ) by a super dual pair 𝔬𝔰𝔭 ( 2 / 1 ; ℝ ) × 𝔰𝔬 ( n ) *

Kyo Nishiyama

Compositio Mathematica (1991)

  • Volume: 80, Issue: 2, page 137-149
  • ISSN: 0010-437X

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Nishiyama, Kyo. "Decomposing oscillator representations of $\mathfrak {osp}(2n/n; \mathbb {R})$ by a super dual pair $\mathfrak {osp}(2/1; \mathbb {R}) \times \mathfrak {so}(n)^*$." Compositio Mathematica 80.2 (1991): 137-149. <http://eudml.org/doc/90118>.

@article{Nishiyama1991,
author = {Nishiyama, Kyo},
journal = {Compositio Mathematica},
keywords = {orthosymplectic superalgebras; oscillator representation; Lie superalgebra},
language = {eng},
number = {2},
pages = {137-149},
publisher = {Kluwer Academic Publishers},
title = {Decomposing oscillator representations of $\mathfrak \{osp\}(2n/n; \mathbb \{R\})$ by a super dual pair $\mathfrak \{osp\}(2/1; \mathbb \{R\}) \times \mathfrak \{so\}(n)^*$},
url = {http://eudml.org/doc/90118},
volume = {80},
year = {1991},
}

TY - JOUR
AU - Nishiyama, Kyo
TI - Decomposing oscillator representations of $\mathfrak {osp}(2n/n; \mathbb {R})$ by a super dual pair $\mathfrak {osp}(2/1; \mathbb {R}) \times \mathfrak {so}(n)^*$
JO - Compositio Mathematica
PY - 1991
PB - Kluwer Academic Publishers
VL - 80
IS - 2
SP - 137
EP - 149
LA - eng
KW - orthosymplectic superalgebras; oscillator representation; Lie superalgebra
UR - http://eudml.org/doc/90118
ER -

References

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  11. [11] K. Nishiyama.Super dual pairs and unitary highest weight modules of orthosymplectic algebras. To appear in Adv. in Math. Zbl0802.17002
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