- 期刊
SOME DETAILS OF PROOFS OF THEOREMS RELATED TO THE QUANTUM DYNAMICAL YANG-BAXTER EQUATION
摘要
This paper of tutorial nature gives some further details of proofs of some theorems related to the quantum dynamical Yang-Baxter equation. This mainly expands proofs given in 〞Lectures on the dynamical Yang-Baxter equation〞 by Etingof and Schiffmann, math.QA/9908064. This concerns the intertwining operator, the fusion matrix, the exchange matrix and the difference operators. The last part expands proofs given in 〞Traces of intertwiners for quantum groups and difference equations, I〞 by Etingof and Varchenko, math.QA/9907181. This concerns the dual Macdonald- Ruijsenaars equations.
延伸閱讀
- Suwannawit, J., & Petrot, N. (2013). Existence Theorems for Quasivariational Inequality Problem on Proximally Smooth Sets. Abstract and Applied Analysis, 2013(), 760-766-780. https://doi.org/10.1155/2013/612819
- GRACE, S. R., & LALLI, B. S. (1987). OSCILLATION THEOREMS FOR SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS WITH DEVIATING ARGUMENTS. International Journal of Mathematics and Mathematical Sciences, 1987(), 35-45. https://doi.org/10.1155/S0161171287000048
- Qin, H. Z., & Ren, Y. (2009). Oscillation Theorems for Second-Order Damped Nonlinear Differential Equations. International Journal of Differential Equations, 2009(), 142-156. https://doi.org/10.1155/2009/714357
- SANDILO, S. H., SHEIKH, A. H., SOOMRO, A. R., & SHAH, S. F. (2017). On the Energetics of a Damped Beam-Like Equation for Different Boundary Conditions. Mehran University Research Journal of Engineering and Technology, 36(2), 395-400. https://www.airitilibrary.com/Article/Detail?DocID=P20170126001-201704-201705180022-201705180022-395-400
- Chidume, C. E., Chidume, C. O., & Minjibir, M. S. (2015). A New Method for Proving Existence Theorems for Abstract Hammerstein Equations. Abstract and Applied Analysis, (2015), 867-873. https://doi.org/10.1155/2015/627260