Please wait a minute...
ZJUS-A
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  2005, Vol. 6 Issue (10): 11-    DOI: 10.1631/jzus.2005.A1065
    
Quantum Yang-Baxter equation and constant R-matrix over Grassmann algebra
DUPLIJ Steven, KOTULSKA Olga, SADOVNIKOV Alexander
Department of Physics and Technology, V.N. Karazin Kharkov National University, Svoboda Sq. 4, Kharkov 61077, Ukraine
Download:     PDF (0 KB)     
Export: BibTeX | EndNote (RIS)      

Abstract  Constant solutions to Yang-Baxter equation are investigated over Grassmann algebra for the case of 6-vertex R-matrix. The general classification of all possible solutions over Grassmann algebra and particular cases with 2,3,4 generators are studied. As distinct from the standard case, when R-matrix over number field can have a maximum 5 nonvanishing elements, we obtain over Grassmann algebra a set of new full 6-vertex solutions. The solutions leading to regular R-matrices which appear in weak Hopf algebras are considered.

Key words： Constant solution      Grassmann algebra      Regularity      R-matrix     
Received: 10 March 2005     
CLC:  O13  
Service
E-mail this article
Add to my bookshelf
Add to citation manager
E-mail Alert
RSS
Articles by authors
DUPLIJ Steven
KOTULSKA Olga
SADOVNIKOV Alexander
Cite this article:

DUPLIJ Steven, KOTULSKA Olga, SADOVNIKOV Alexander. Quantum Yang-Baxter equation and constant R-matrix over Grassmann algebra. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2005, 6(10): 11-.

URL:

http://www.zjujournals.com/xueshu/zjus-a/10.1631/jzus.2005.A1065     OR     http://www.zjujournals.com/xueshu/zjus-a/Y2005/V6/I10/11

[1] Jin Shi, Wen-shan Fang, Ying-jie Wang, Yang Zhao. Measurements and analysis of track irregularities on high speed maglev lines[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2014, 15(6): 385-394.
[2] Shuo-qiao Zhong, Jia-yang Xiong, Xin-biao Xiao, Ze-feng Wen, Xue-song Jin. Effect of the first two wheelset bending modes on wheel-rail contact behavior[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2014, 15(12): 984-1001.
[3] LAI Li-ya, LIU Peng. Low power implementation of datapath using regularity[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2005, 6( 6): 20-.