PL EN


Preferences help
enabled [disable] Abstract
Number of results
1999 | 96 | 6 | 699-712
Article title

Irreducible Basis for Permutation Representations

Authors
Content
Title variants
Languages of publication
EN
Abstracts
EN
For a given finite group G its permutation representation P, i.e. an action on an n-element set, is considered. Introducing a vector space L as a set of formal linear combinations of | j 〉, 1 ≤ j ≤ n, the representation P is linearized. In general, the representation obtained is reducible, so it is decomposed into irreducible components. Decomposition of L into invariant subspaces is determined by a unitary transformation leading from the basis { | j 〉} to a new, symmetry adapted or irreducible, basis { |Γrγ〉}. This problem is quite generally solved by means of the so-called Sakata matrix. Some possible physical applications are indicated.
Keywords
EN
Publisher

Year
Volume
96
Issue
6
Pages
699-712
Physical description
Dates
published
1999-12
received
1999-07-13
Contributors
author
  • Computational Physics Division, Institute of Physics, A. Mickiewicz University, Umultowska 85, 61-614 Poznań, Poland
References
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv96z602kz
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.