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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
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
external identifiers
  • wos:000184899500034
  • scopus:0242641516
ISSN
0022-2488
DOI
10.1063/1.1594819
language
English
LU publication?
yes
id
9f94eef9-f3d7-449a-a13b-ed80e50a7ecf (old id 303437)
date added to LUP
2007-08-02 16:05:38
date last changed
2017-01-01 07:24:21
@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},
  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},
  volume       = {44},
  year         = {2003},
}