scholarly journals Matrix elements and duality for type 2 unitary representations of the Lie superalgebragl(m|n)

2015 ◽  
Vol 56 (12) ◽  
pp. 121703 ◽  
Author(s):  
Jason L. Werry ◽  
Mark D. Gould ◽  
Phillip S. Isaac
Keyword(s):  
Unitary Representations ◽  
Matrix Elements

Unitary representations of the quantum group SU q (1, 1): II ? Matrix elements of unitary representations and the basic hypergoemetric functions

1990 ◽  
Vol 19 (3) ◽  
pp. 195-204 ◽  
Author(s):  
Tetsuya Masuda ◽  
Katsuhisa Mimachi ◽  
Yoshiomi Nakagami ◽  
Masatoshi Noumi ◽  
Yutaka Saburi ◽  
...  
Keyword(s):  
Quantum Group ◽  
Unitary Representations ◽  
Matrix Elements

su(2) -expansion of the Lorentz algebra so(3,1 )

2013 ◽  
Vol 91 (8) ◽  
pp. 589-598 ◽  
Author(s):  
Rutwig Campoamor-Stursberg ◽  
Hubert de Guise ◽  
Marc de Montigny
Keyword(s):  
Coherent State ◽  
Unitary Representations ◽  
Iwasawa Decomposition ◽  
Matrix Formalism ◽  
Matrix Elements ◽  
Infinite Dimensional ◽  
Lorentz Algebra ◽  
Finite Dimensional

We exploit the Iwasawa decomposition to construct coherent state representations of [Formula: see text], the Lorentz algebra in 3 + 1 dimensions, expanded on representations of the maximal compact subalgebra [Formula: see text]. Examples of matrix elements computation for finite dimensional and infinite-dimensional unitary representations are given. We also discuss different base vectors and the equivalence between these different choices. The use of the [Formula: see text]-matrix formalism to truncate the representation or to enforce unitarity is discussed.

On non-compact groups. II. Representations of the 2+1 Lorentz group

1965 ◽  
Vol 287 (1411) ◽  
pp. 532-548 ◽  
Keyword(s):  
Hilbert Space ◽  
Direct Product ◽  
Lorentz Group ◽  
Complex Number ◽  
Algebraic Method ◽  
Unitary Representations ◽  
Compact Groups ◽  
Matrix Elements ◽  
Linear Representations ◽  
The Matrix

A simple algebraic method based on multispinors with a complex number of indices is used to obtain the linear (and unitary) representations of non-com pact groups. The method is illustrated in the case of the 2+1 Lorentz group. All linear representations of this group, their various realizations in Hilbert space as well as the matrix elements of finite transformations have been found. The problem of reduction of the direct product is also briefly discussed.

scholarly journals GENERALIZATION OF THE GELL–MANN DECONTRACTION FORMULA FOR sl(n,ℝ) AND su(n) ALGEBRAS

2011 ◽  
Vol 08 (02) ◽  
pp. 395-410 ◽  
Author(s):  
IGOR SALOM ◽  
DJORDJE ŠIJAČKI
Keyword(s):  
Closed Form ◽  
Lie Algebra ◽  
Unitary Representations ◽  
Irreducible Representations ◽  
Algebraic Expression ◽  
Matrix Elements ◽  
Group Manifold ◽  
The Matrix

The so-called Gell–Mann or decontraction formula is proposed as an algebraic expression inverse to the Inönü–Wigner Lie algebra contraction. It is tailored to express the Lie algebra elements in terms of the corresponding contracted ones. In the case of sl (n,ℝ) and su (n) algebras, contracted w.r.t. so (n) subalgebras, this formula is generally not valid, and applies only in the cases of some algebra representations. A generalization of the Gell–Mann formula for sl (n,ℝ) and su (n) algebras, that is valid for all tensorial, spinorial, (non)unitary representations, is obtained in a group manifold framework of the SO(n) and/or Spin (n) group. The generalized formula is simple, concise and of ample application potentiality. The matrix elements of the [Formula: see text], i.e. SU(n)/SO(n), generators are determined, by making use of the generalized formula, in a closed form for all irreducible representations.

Does short-term administration of glucagon-like peptide type 2 affect bone mass and markers of bone remodeling in short bowel patients?

2001 ◽  
Vol 120 (5) ◽  
pp. A314-A314
Author(s):  
K HADERSLEV ◽  
P JEPPESEN ◽  
B HARTMANN ◽  
J THULESEN ◽  
J GRAFF ◽  
...  
Keyword(s):  
Bone Mass ◽  
Bone Remodeling ◽  
Short Term ◽  
Short Bowel ◽  
Term Administration ◽  
Glucagon Like Peptide
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