Citation: | YAO Yufeng, ZHANG Yajing. Commuting variety of r-tuples over the Witt algebra[J]. Journal of East China Normal University (Natural Sciences), 2021, (3): 1-7. doi: 10.3969/j.issn.1000-5641.2021.03.001 |
[1] |
RICHARDSON R W. Commuting varieties of semisimple Lie algebras and algebraic groups [J]. Compos Math, 1979, 38: 311-327.
|
[2] |
LEVY P. Commuting varieties of Lie algebras over fields of prime characteristic [J]. Journal of Algebra, 2002, 250: 473-484. doi: 10.1006/jabr.2001.9083
|
[3] |
GERSTENHABER M. On dominance and varieties of commuting matrices [J]. Ann Math, 1961, 73: 324-348. doi: 10.2307/1970336
|
[4] |
KIRILLOV A A, NERETIN Y A. The variety An of n-dimensional Lie algebra structures [J]. Amer Math Soc Transl, 1987, 137: 21-30.
|
[5] |
GURALNICK R M, SETHURAMAN B A. Commuting pairs and triples of matrices and related varieties [J]. Linear Algebra Appl, 2000, 310: 139-148. doi: 10.1016/S0024-3795(00)00065-3
|
[6] |
BLOCK R E, WILSON R L. Classification of the restricted simple Lie algebras [J]. Journal of Algebra, 1988, 114: 115-259. doi: 10.1016/0021-8693(88)90216-5
|
[7] |
STRADE H. Simple Lie Algebras over Fields of Positive Characteristic I: Structure Theory [M]. Berlin: Walter de Gruyter & Co, 2004.
|
[8] |
YAO Y F, CHANG H. Commuting variety of Witt algebra [J]. Front Math China, 2018, 13(5): 1179-1187. doi: 10.1007/s11464-018-0725-9
|
[9] |
STRADE H, FARNSTEINER R. Modular Lie Algebras and Their Representations [M]. New York: Marcel Dekker, 1988.
|
[10] |
HUMPHREYS J E. Linear Algebraic Groups [M]. New York: Springer-Verlag, 1975.
|
[11] |
TAUVEL P, YU R. Lie Algebras and Algebraic Groups [M]. Berlin: Springer-Verlag, 2005.
|
[12] |
NGO N V. Commuting varieties of r-tuples over Lie algebras [J]. Journal of Pure & Applied Algebra, 2014, 218(8): 1400-1417. doi: 10.1016/j.jpaa.2013.11.024
|