A note on the existence of nontrivial homomorphism E-n(R) -> En-1(R)

作者：You, Hong^*

来源：Journal of Algebra and Its Applications, 2017, 16(1): 1750010.

DOI：10.1142/S0219498817500104

• Elementary group
• homomorphism
• local ring
• division ring

We show that there is no nontrivial group homomorphism E-n(R) -> En-1(R) over commutative local rings and division rings for n >= 3, respectively. It gives a negative answer to Ye's problem (see [S. K. Ye, Low- dimensional representations of matrix group actions on CAT(0) spaces and manifolds, J. Algebra 409 (2014) 219-243]) for the above rings.

• 出版日期2017-1
• 单位哈尔滨工业大学; 西交利物浦大学