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Angular gelfand-tzetlin coordinates for the supergroup UOSp(k(1)/2k(2))

Guhr, Thomas LU and Kohler, H (2003) In Journal of Mathematical Physics 44(9). p.4267-4286
Abstract
We construct Gelfand-Tzetlin coordinates for the unitary orthosymplectic supergroup UOSp(k(1)/2k(2)). This extends a previous construction for the unitary supergroup U(k(1)/k(2)). We focus on the angular Gelfand-Tzetlin coordinates, i.e., our coordinates stay in the space of the supergroup. We also present a generalized Gelfand pattern for the supergroup UOSp(k(1)/2k(2)) and discuss various implications for representation theory.
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author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Journal of Mathematical Physics
volume
44
issue
9
pages
4267 - 4286
publisher
American Institute of Physics (AIP)
external identifiers
  • wos:000184899500034
  • scopus:0242641516
ISSN
0022-2488
DOI
10.1063/1.1594819
language
English
LU publication?
yes
additional info
The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Mathematical Physics (Faculty of Technology) (011040002)
id
9f94eef9-f3d7-449a-a13b-ed80e50a7ecf (old id 303437)
date added to LUP
2016-04-01 17:06:15
date last changed
2025-10-14 09:26:15
@article{9f94eef9-f3d7-449a-a13b-ed80e50a7ecf,
  abstract     = {{We construct Gelfand-Tzetlin coordinates for the unitary orthosymplectic supergroup UOSp(k(1)/2k(2)). This extends a previous construction for the unitary supergroup U(k(1)/k(2)). We focus on the angular Gelfand-Tzetlin coordinates, i.e., our coordinates stay in the space of the supergroup. We also present a generalized Gelfand pattern for the supergroup UOSp(k(1)/2k(2)) and discuss various implications for representation theory.}},
  author       = {{Guhr, Thomas and Kohler, H}},
  issn         = {{0022-2488}},
  language     = {{eng}},
  number       = {{9}},
  pages        = {{4267--4286}},
  publisher    = {{American Institute of Physics (AIP)}},
  series       = {{Journal of Mathematical Physics}},
  title        = {{Angular gelfand-tzetlin coordinates for the supergroup UOSp(k(1)/2k(2))}},
  url          = {{http://dx.doi.org/10.1063/1.1594819}},
  doi          = {{10.1063/1.1594819}},
  volume       = {{44}},
  year         = {{2003}},
}