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

M. Günaydin; S. J. Hyun

doi:10.1063/1.528120

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

M. Günaydin, S. J. Hyun

Research output: Contribution to journal › Article › peer-review

30 Scopus citations

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 (US)
Pages (from-to)	2367-2376
Number of pages	10
Journal	Journal of Mathematical Physics
Volume	29
Issue number	11
DOIs	https://doi.org/10.1063/1.528120
State	Published - 1988

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

Access to Document

10.1063/1.528120

Cite this

@article{cf678891852742d4a8648fc5ee5d7772,

title = "Unitary lowest weight representations of the noncompact supergroup OSp(2n/2m,R)",

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.",

author = "M. G{\"u}naydin and Hyun, {S. J.}",

year = "1988",

doi = "10.1063/1.528120",

language = "English (US)",

volume = "29",

pages = "2367--2376",

journal = "Journal of Mathematical Physics",

issn = "0022-2488",

publisher = "American Institute of Physics",

number = "11",

}

TY - JOUR

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

AU - Günaydin, M.

AU - Hyun, S. J.

PY - 1988

Y1 - 1988

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

SN - 0022-2488

VL - 29

SP - 2367

EP - 2376

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 11

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this