TY - JOUR
T1 - A note on the existence of nontrivial homomorphism e n (R) → e n-1 (R)
AU - You, Hong
N1 - Publisher Copyright:
© 2017 World Scientific Publishing Company.
PY - 2017/1/1
Y1 - 2017/1/1
N2 - We show that there is no nontrivial group homomorphism En(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.
AB - We show that there is no nontrivial group homomorphism En(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.
KW - Elementary group
KW - division ring
KW - homomorphism
KW - local ring
UR - http://www.scopus.com/inward/record.url?scp=84957602213&partnerID=8YFLogxK
U2 - 10.1142/S0219498817500104
DO - 10.1142/S0219498817500104
M3 - Article
AN - SCOPUS:84957602213
SN - 0219-4988
VL - 16
JO - Journal of Algebra and its Applications
JF - Journal of Algebra and its Applications
IS - 1
M1 - 17500104
ER -