Spectra, eigenvectors and overlap functions for representation operators ofq-deformed algebras

1996 ◽  
Vol 175 (1) ◽  
pp. 89-111 ◽  
Author(s):  
A. U. Klimyk ◽  
I. I. Kachurik
Keyword(s):  
Deformed Algebras

Representations of the q‐deformed algebras Uq(so2,1) and Uq(so3,1)

1994 ◽  
Vol 35 (7) ◽  
pp. 3670-3686 ◽  
Author(s):  
A. M. Gavrilik ◽  
A. U. Klimyk
Keyword(s):  
Deformed Algebras

Two Kinds of Two-Boson Realizations of Generally Deformed Algebras with Three Generators

2007 ◽  
Vol 47 (3) ◽  
pp. 529-534 ◽  
Author(s):  
Ruan Dong ◽  
Li Yan-Song ◽  
Sun Hong-Zhou
Keyword(s):  
Deformed Algebras

Knot polynomials fromq-deformed algebras

1996 ◽  
Vol 29 (19) ◽  
pp. 6413-6428 ◽  
Author(s):  
Cindy R Smithies ◽  
Philip H Butler
Keyword(s):  
Deformed Algebras

scholarly journals Deformed Algebras and Generalizations of Independence on Deformed Exponential Families

Entropy ◽  
2015 ◽  
Vol 17 (12) ◽  
pp. 5729-5751 ◽  
Author(s):  
Hiroshi Matsuzoe ◽  
Tatsuaki Wada
Keyword(s):  
Exponential Families ◽  
Deformed Algebras

scholarly journals A GENERALIZATION OF THE JORDAN-SCHWINGER MAP: THE CLASSICAL VERSION AND ITS q DEFORMATION

1994 ◽  
Vol 09 (31) ◽  
pp. 5541-5561 ◽  
Author(s):  
V.I. MAN’KO ◽  
G. MARMO ◽  
P. VITALE ◽  
F. ZACCARIA
Keyword(s):  
Phase Space ◽  
Lie Algebras ◽  
Three Dimensional ◽  
Poisson Brackets ◽  
Classical Version ◽  
Deformed Algebras

For all three-dimensional Lie algebras the construction of generators in terms of functions on four-dimensional real phase space is given with a realization of the Lie product in terms of Poisson brackets. This is the classical Jordan-Schwinger map, which is also given for the deformed algebras [Formula: see text], ℰq(2) and ℋq(1). The algebra [Formula: see text] is discussed in the same context.

ON THE ASSOCIATIVE ALGEBRA STRUCTURES CLOSEST TO ALGEBRA STRUCTURES

2011 ◽  
Vol 10 (02) ◽  
pp. 365-376
Author(s):  
FUJIO KUBO ◽  
FUMIYA SUENOBU
Keyword(s):  
Associative Algebra ◽  
Algebra Structure ◽  
Real Numbers ◽  
Associative Structure ◽  
Structure Constants ◽  
Deformed Algebras

We shall define the associative algebra structure closest to a given algebra structure. When we face a new multiplication, being caused by noise and so on, it must be useful to compute with the closest associative multiplication to such a perturbed one. In this paper we shall give a procedure to find the closest associative structure and demonstrate our strategy for the 2-dimensional algebras over the field of real numbers. Then we trace the points of the sets of structure constants of the deformed algebras.

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