TY - JOUR
T1 - The Steinberg quotient of a tilting character
AU - Sobaje, Paul
N1 - Publisher Copyright:
© 2020, Springer-Verlag GmbH Germany, part of Springer Nature.
PY - 2021/4
Y1 - 2021/4
N2 - Let G be a simple algebraic group over an algebraically closed field of prime characteristic. If M is a finite dimensional G-module that is projective over the Frobenius kernel of G, then its character is divisible by the character of the Steinberg module. In this paper we study such quotients, showing that if M is an indecomposable tilting module, then the multiplicities of the orbit sums appearing in its “Steinberg quotient” are well behaved.
AB - Let G be a simple algebraic group over an algebraically closed field of prime characteristic. If M is a finite dimensional G-module that is projective over the Frobenius kernel of G, then its character is divisible by the character of the Steinberg module. In this paper we study such quotients, showing that if M is an indecomposable tilting module, then the multiplicities of the orbit sums appearing in its “Steinberg quotient” are well behaved.
UR - http://www.scopus.com/inward/record.url?scp=85087291608&partnerID=8YFLogxK
U2 - 10.1007/s00209-020-02576-8
DO - 10.1007/s00209-020-02576-8
M3 - Article
AN - SCOPUS:85087291608
SN - 0025-5874
VL - 297
SP - 1733
EP - 1747
JO - Mathematische Zeitschrift
JF - Mathematische Zeitschrift
IS - 3-4
ER -