R-matrix for the two parameter quantum superalgebra Ur,s(osp(1|2n))

2016 ◽  
Vol 57 (2) ◽  
pp. 021706
Author(s):  
Jialei Chen ◽  
Junli Liu
Keyword(s):  
R Matrix ◽  
Quantum Superalgebra ◽  
Two Parameter

scholarly journals JORDANIAN QUANTUM SUPERALGEBRA Uh(osp(2/1))

2003 ◽  
Vol 18 (13) ◽  
pp. 885-903 ◽  
Author(s):  
N. AIZAWA ◽  
R. CHAKRABARTI ◽  
J. SEGAR
Keyword(s):  
Algebraic Structure ◽  
Lie Superalgebra ◽  
Universal Enveloping Algebra ◽  
Borel Subalgebra ◽  
Quantum Deformation ◽  
R Matrix ◽  
Enveloping Algebra ◽  
Quantum Superalgebra ◽  
Tensor Operators

A quantum deformation of the Lie superalgebra osp(2/1) from the classical r-matrix including an odd generator is presented with its full Hopf algebraic structure. A class of deformation maps and the corresponding twisting elements, the interrelation between these twists, and the tensor operators are considered for the deformed osp(2/1) algebra. It is also shown that the Borel subalgebra of the universal enveloping algebra of the quantized osp(2/1) is self-dual.

Universal R-matrix of the quantum superalgebra osp(2 | 1)

1989 ◽  
Vol 18 (2) ◽  
pp. 143-149 ◽  
Author(s):  
P. P. Kulish ◽  
N. Yu. Reshetikhin
Keyword(s):  
R Matrix ◽  
Quantum Superalgebra

scholarly journals COMMENT ON THE DIFFERENTIAL CALCULUS ON THE QUANTUM EXTERIOR PLANE

1998 ◽  
Vol 13 (20) ◽  
pp. 1645-1651 ◽  
Author(s):  
SALIH ÇELIK ◽  
SULTAN A. ÇELIK ◽  
METIN ARIK
Keyword(s):  
Symmetry Group ◽  
Differential Calculus ◽  
Baxter Equation ◽  
Oscillator Algebra ◽  
Quantum Deformation ◽  
R Matrix ◽  
Two Parameter ◽  
Parameter Deformation

We give a two-parameter quantum deformation of the exterior plane and its differential calculus without the use of any R-matrix and relate it to the differential calculus with the R-matrix. We prove that there are two types of solutions of the Yang–Baxter equation whose symmetry group is GL p,q(2). We also give a two-parameter deformation of the fermionic oscillator algebra.

scholarly journals Two-parameter Quantum Groups of Exceptional Type E-Series and Convex PBW-type Basis

2008 ◽  
Vol 15 (04) ◽  
pp. 619-636 ◽  
Author(s):  
Xiaotang Bai ◽  
Naihong Hu
Keyword(s):  
Quantum Groups ◽  
Quantum Double ◽  
R Matrix ◽  
Double Structure ◽  
The One ◽  
Two Parameter

The presentation of two-parameter quantum groups of type E-series in the sense of Benkart–Witherspoon is given, which has a Drinfel'd quantum double structure. The universal R-matrix and a convex PBW-type basis are described for type E6(as a sample), and the conditions of an isomorphism from these quantum groups into the one-parameter quantum doubles are discussed.

scholarly journals THE QUANTUM ALGEBRAIC STRUCTURE OF THE TWISTED XXZ CHAIN

1995 ◽  
Vol 10 (05) ◽  
pp. 419-424 ◽  
Author(s):  
M. R. MONTEIRO ◽  
I. RODITI ◽  
L. M. C. S. RODRIGUES ◽  
S. SCIUTO
Keyword(s):  
Algebraic Structure ◽  
Periodic Boundary ◽  
Periodic Boundary Conditions ◽  
Inverse Scattering Method ◽  
Scattering Method ◽  
Xxz Model ◽  
R Matrix ◽  
Xxz Chain ◽  
Two Parameters ◽  
Two Parameter

We consider the quantum inverse scattering method with a new R-matrix depending on two parameters q and t. We find that the underlying algebraic structure is the two-parameter deformed algebra SU q,t(2) enlarged by introducing an element belonging to the center. The corresponding Hamiltonian describes the spin-1/2 XXZ model with twisted periodic boundary conditions.

Some results of the Barbier-Chalonge-Divan system of stellar classification

1966 ◽  
Vol 24 ◽  
pp. 77-90 ◽  
Author(s):  
D. Chalonge
Keyword(s):  
Early Type ◽  
Parameter System ◽  
Early Type Stars ◽  
Two Parameter

Several years ago a three-parameter system of stellar classification has been proposed (1, 2), for the early-type stars (O-G): it was an improvement on the two-parameter system described by Barbier and Chalonge (3).

Subjective Time Preference and Willingness to Pay for an Energy-Saving Durable Good

2001 ◽  
Vol 32 (3) ◽  
pp. 133-141 ◽  
Author(s):  
Gerrit Antonides ◽  
Sophia R. Wunderink
Keyword(s):  
Willingness To Pay ◽  
Energy Saving ◽  
Subjective Time ◽  
Durable Good ◽  
Discount Function ◽  
Hyperbolic Discount ◽  
The One ◽  
Two Parameter ◽  
Difference Effect ◽  
Better Than

Summary: Different shapes of individual subjective discount functions were compared using real measures of willingness to accept future monetary outcomes in an experiment. The two-parameter hyperbolic discount function described the data better than three alternative one-parameter discount functions. However, the hyperbolic discount functions did not explain the common difference effect better than the classical discount function. Discount functions were also estimated from survey data of Dutch households who reported their willingness to postpone positive and negative amounts. Future positive amounts were discounted more than future negative amounts and smaller amounts were discounted more than larger amounts. Furthermore, younger people discounted more than older people. Finally, discount functions were used in explaining consumers' willingness to pay for an energy-saving durable good. In this case, the two-parameter discount model could not be estimated and the one-parameter models did not differ significantly in explaining the data.

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