Representations of the deformed U(su(2)) and U(osp(1,2)) algebras - INSPIRE

DataBETA

Representations of the deformed U(su(2)) and U(osp(1,2)) algebras

Dennis Bonatsos
(
- ECT, Trento
)
,
C. Daskaloyannis
(
- Thessaloniki U.
)
,
P. Kolokotronis
(
- Democritos Nucl. Res. Ctr.
)
,
D. Lenis
(
- Democritos Nucl. Res. Ctr.
)

Dec, 1995

8 pages

Part of Group theory in physics. Proceedings, Barut Memorial Conference, Edirne, Turkey, December 21-27, 1995, 47-56

Contribution to:

Barut Memorial Conference on Group Theory in Physics, 47-56

Report number:

DEM-NT-96-03,
ECT-96-016

reference search0 citations

Citations per year

0 Citations

References(25)

Figures(0)

The Quantum Group SU(2)-q and a q Analog of the Boson Operators

L.C. Biedenharn
(
- Duke U.
)

- J.Phys.A 22 (1989) L873
•
DOI:
- 10.1088/0305-4470/22/18/004

On q Analogs of the Quantum Harmonic Oscillator and the Quantum Group SU(2)-q

A.J. Macfarlane
(
- Cambridge U.
)

- J.Phys.A 22 (1989) 4581
•
DOI:
- 10.1088/0305-4470/22/21/020

The q deformed boson realization of the quantum group SU(n)-q and its representation

Chang-Pu Sun
(
)
,
Hong-Chen Fu
(
- Changchun, Northeast Normal U.
)

- J.Phys.A 22 (1989) L983-L986
•
DOI:
- 10.1088/0305-4470/22/21/001

- J.Phys.A 24 L789

General deformation schemes and N=2 supersymmetric quantum mechanics

- Phys.Lett.B 307 (1993) 100-105
•
DOI:
- 10.1016/0370-2693(93)90198-Q

Unitary quantum groups, quantum projective spaces and q oscillators

Metin Arik
(
- Bogazici U. and
- Istanbul, Tech. U.
)
,
Salih Celik
(
- Mimar Sinan U. and
- Istanbul, Tech. U.
)

- Z.Phys.C 59 (1993) 99-104
•
DOI:
- 10.1007/BF01555843

- Isr.J.Math. 28 177

Hilbert Spaces of Analytic Functions and Generalized Coherent States

M. Arik
(
- Pittsburgh U.
)
,
Darryl D. Coon
(
- Pittsburgh U.
)

- J.Math.Phys. 17 (1976) 524
•
DOI:
- 10.1063/1.522937

On the q oscillator and the quantum algebra SU(q) (1,1)

- J.Phys.A 23 (1990) L415-L419
•
DOI:
- 10.1088/0305-4470/23/9/003

Representation theory of the nonlinear SU(2) algebra

M. Rocek
(
- SUNY, Stony Brook
)

- Phys.Lett.B 255 (1991) 554-557
•
DOI:
- 10.1016/0370-2693(91)90265-R

A Classical Realization of Quantum Algebras

Alexios P. Polychronakos
(
- Florida U.
)

- Mod.Phys.Lett.A 5 (1990) 2325-2334
•
DOI:
- 10.1142/S0217732390002675

- Trans.Am.Math.Soc. 322 285

- J.Phys.A 26 L127

Representation theory and q -boson realizations of Witten's su(2) and su(1, 1) deformations

- Phys.Lett.B 300 (1993) 227-233
•
DOI:
- 10.1016/0370-2693(93)90358-O

- Mod.Phys.Lett.A 8 961

Gauge Theories, Vertex Models and Quantum Groups

Edward Witten
(
- Princeton, Inst. Advanced Study
)

- Nucl.Phys.B 330 (1990) 285-346
•
DOI:
- 10.1016/0550-3213(90)90115-T

- Commun.Theor.Phys. 19 191

Generalized deformed SU(2) algebra

- J.Phys.A 26 (1993) L871-L876

- J.Math.Phys. 34 5065

Polynomial deformations of osp(1/2) and generalized parabosons

J. Van der Jeugt
(
- Gent U.
)
,
R. Jagannathan
(
- Gent U.
)

- J.Math.Phys. 36 (1995) 4507-4518
•
e-Print:
- hep-th/9410145
•
DOI:
- 10.1063/1.530904

- J.Math.Phys. 25 755

- J.Math.Phys. 31 587

- J.Math.Phys. 30 587

Finite W algebras

T. Tjin
(
- Amsterdam U.
)

- Phys.Lett.B 292 (1992) 60-66
•
e-Print:
- hep-th/9203077
•
DOI:
- 10.1016/0370-2693(92)90608-7

Quantization and representation theory of finite W algebras

Jan de Boer
(
- Utrecht U.
)
,
Tjark Tjin
(
- Amsterdam U.
)

- Commun.Math.Phys. 158 (1993) 485-516
•
e-Print:
- hep-th/9211109
•
DOI:
- 10.1007/BF02096800