TY - JOUR
T1 - On automorphisms of tame polynomial automorphism Ind-Schemes in positive characteristic
AU - Kanel-Belov, Alexey
AU - Elishev, Andrey
AU - Yu, Jie Tai
N1 - Publisher Copyright:
© 2024 Taylor & Francis Group, LLC.
PY - 2024
Y1 - 2024
N2 - In this paper we study certain combinatorial attributes of (Formula presented.) -schemes of polynomial automorphisms in positive characteristic. In particular, we prove that over an algebraically closed field K of positive characteristic (Formula presented.) every automorphism of the group of origin-preserving automorphisms of the polynomial algebra (Formula presented.) ((Formula presented.)), which fixes every diagonal matrix, preserves, up to composition with a linear inner automorphism, every tame automorphism.
AB - In this paper we study certain combinatorial attributes of (Formula presented.) -schemes of polynomial automorphisms in positive characteristic. In particular, we prove that over an algebraically closed field K of positive characteristic (Formula presented.) every automorphism of the group of origin-preserving automorphisms of the polynomial algebra (Formula presented.) ((Formula presented.)), which fixes every diagonal matrix, preserves, up to composition with a linear inner automorphism, every tame automorphism.
KW - Polynomial automorphisms
KW - tame automorphisms
UR - http://www.scopus.com/inward/record.url?scp=85197853621&partnerID=8YFLogxK
U2 - 10.1080/00927872.2024.2371090
DO - 10.1080/00927872.2024.2371090
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AN - SCOPUS:85197853621
SN - 0092-7872
VL - 52
SP - 5375
EP - 5395
JO - Communications in Algebra
JF - Communications in Algebra
IS - 12
ER -