### Abstract

The oscillator construction of the unitary irreducible lowest (highest) weight representations of the noncompact supergroup OSp(2n/2m,R) with even subgroup SO(2n) X Sp(2m,/R) is given. In particular, simple rules for determining the SO(2n) X Sp(2m,R) decomposition of the unitary lowest weight representations of OSp(2n/2m,R) are derived.

Original language | English |
---|---|

Pages (from-to) | 2367-2376 |

Number of pages | 10 |

Journal | Journal of Mathematical Physics |

Volume | 29 |

Issue number | 11 |

DOIs | |

Publication status | Published - 1988 Jan 1 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

*Journal of Mathematical Physics*,

*29*(11), 2367-2376. https://doi.org/10.1063/1.528120

}

*Journal of Mathematical Physics*, vol. 29, no. 11, pp. 2367-2376. https://doi.org/10.1063/1.528120

**Unitary lowest weight representations of the noncompact supergroup OSp(2n/2m,R).** / Günaydin, M.; Hyun, Seungjoon.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Unitary lowest weight representations of the noncompact supergroup OSp(2n/2m,R)

AU - Günaydin, M.

AU - Hyun, Seungjoon

PY - 1988/1/1

Y1 - 1988/1/1

N2 - The oscillator construction of the unitary irreducible lowest (highest) weight representations of the noncompact supergroup OSp(2n/2m,R) with even subgroup SO(2n) X Sp(2m,/R) is given. In particular, simple rules for determining the SO(2n) X Sp(2m,R) decomposition of the unitary lowest weight representations of OSp(2n/2m,R) are derived.

AB - The oscillator construction of the unitary irreducible lowest (highest) weight representations of the noncompact supergroup OSp(2n/2m,R) with even subgroup SO(2n) X Sp(2m,/R) is given. In particular, simple rules for determining the SO(2n) X Sp(2m,R) decomposition of the unitary lowest weight representations of OSp(2n/2m,R) are derived.

UR - http://www.scopus.com/inward/record.url?scp=36549090765&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=36549090765&partnerID=8YFLogxK

U2 - 10.1063/1.528120

DO - 10.1063/1.528120

M3 - Article

AN - SCOPUS:36549090765

VL - 29

SP - 2367

EP - 2376

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 11

ER -