scholarly journals Quantum matrix algebras of BMW type: Structure of the characteristic subalgebra

Author(s):  
Oleg Ogievetsky ◽  
Pavel Pyatov
1999 ◽  
Vol 40 (1) ◽  
pp. 427-448 ◽  
Author(s):  
L. K. Hadjiivanov ◽  
A. P. Isaev ◽  
O. V. Ogievetsky ◽  
P. N. Pyatov ◽  
I. T. Todorov

1999 ◽  
Vol 27 (2) ◽  
pp. 493-510
Author(s):  
Hans Plesner Jakobsen ◽  
Hechun Zhang

2019 ◽  
Vol 4 (1) ◽  
Author(s):  
Dimitri Gurevich ◽  
Pavel Saponov ◽  
Dmitry Talalaev

Abstract The notion of compatible braidings was introduced in Isaev et al. (1999, J. Phys. A, 32, L115–L121). On the base of this notion, the authors of Isaev et al. (1999, J. Phys. A, 32, L115–L121) defined certain quantum matrix algebras generalizing the RTT algebras and Reflection Equation ones. They also defined analogues of some symmetric polynomials in these algebras and showed that these polynomials generate commutative subalgebras, called Bethe. By using a similar approach, we introduce certain new algebras called generalized Yangians and define analogues of some symmetric polynomials in these algebras. We claim that they commute with each other and thus generate a commutative Bethe subalgebra in each generalized Yangian. Besides, we define some analogues (also arising from couples of compatible braidings) of the Knizhnik–Zamolodchikov equation—classical and quantum. Communicated by: Alexander Veselov


1999 ◽  
Vol 32 (9) ◽  
pp. L115-L121 ◽  
Author(s):  
A Isaev ◽  
O Ogievetsky ◽  
P Pyatov

Physica ◽  
1954 ◽  
Vol 3 (7-12) ◽  
pp. 1107-1109 ◽  
Author(s):  
C GOODMAN ◽  
R DOUGLAS

2002 ◽  
Vol 713 ◽  
Author(s):  
Roman V. Bogdanov ◽  
Yuri F. Batrakov ◽  
Elena V. Puchkova ◽  
Andrey S. Sergeev ◽  
Boris E. Burakov

ABSTRACTAt present, crystalline ceramic based on titanate pyrochlore, (Ca,Gd,Hf,Pu,U)2Ti2O7, is considered as the US candidate waste form for the immobilization of weapons grade plutonium. Naturally occuring U-bearing minerals with pyrochlore-type structure: hatchettolite, betafite, and ellsworthite, were studied in orders to understand long-term radiation damage effects in Pu ceramic waste forms. Chemical shifts (δ) of U(Lδ1)– and U(Lβ1) – X-ray emission lines were measured by X-ray spectrometry. Calculations were performed on the basis of a two-dimensional δLá1- and δLδ1- correlation diagram. It was shown that 100% of uranium in hatchettolite and, probably, 95-100% of uranium in betafite are in the form of (UO2)2+. formal calculation shows that in ellsworthite only 20% of uranium is in the form of U4+ and 80% of the rest is in the forms of U5+ and U6+. The conversion of the initial U4+ ion originally occurring in the pyrochlore structure of natural minerals to (UO2)2+ due to metamict decay causes a significant increase in uranium mobility.


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