Open AccessQUANTUM GROUP Uq(SU( 1，1))，UNIVERSAL R MATRIX AND CASIMIR INVARIANT
Author(s) -
张耀中
Publication year - 1994
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.43.169
Subject(s) - casimir effect , casimir element , invariant (physics) , quantum group , pure mathematics , physics , group (periodic table) , matrix (chemical analysis) , mathematical physics , quantum , quantum mechanics , mathematics , algebra over a field , materials science , composite material , cellular algebra , algebra representation
In this paper a method of direct derivation for the universal R matrix of quantum group Uq(SU(11)) is given. It is simple and efficient for quantum groups of low rank at least. By the application of the R matrix obtained, the explicit expression for Casimir invariant of the above guantum group is given. As an application, the second order Casimir operator is rederived as well.