TY - JOUR

T1 - Irreducible almost simple subgroups of classical algebraic groups

AU - Burness, Tim C

AU - Ghandour, Soumaia

AU - Marion, Claude

AU - Testerman, Donna M

PY - 2015/7

Y1 - 2015/7

N2 - Let G be a simple classical algebraic group over an algebraically closed field K of characteristic p ≥ 0 with natural module W. Let H be a closed subgroup of G and let V be a nontrivial irreducible tensor indecomposable -restricted rational KG-module such that the restriction of V to H is irreducible. In this paper we classify the triples (G,H,V ) of this form, where H is a closed disconnected almost simple positive-dimensional subgroup of G acting irreducibly on W. Moreover, by combining this result with earlier work, we complete the classifcation of the irreducible triples (G,H,V ) where G is a simple algebraic group over K, and H is a maximal closed subgroup of positive dimension.

AB - Let G be a simple classical algebraic group over an algebraically closed field K of characteristic p ≥ 0 with natural module W. Let H be a closed subgroup of G and let V be a nontrivial irreducible tensor indecomposable -restricted rational KG-module such that the restriction of V to H is irreducible. In this paper we classify the triples (G,H,V ) of this form, where H is a closed disconnected almost simple positive-dimensional subgroup of G acting irreducibly on W. Moreover, by combining this result with earlier work, we complete the classifcation of the irreducible triples (G,H,V ) where G is a simple algebraic group over K, and H is a maximal closed subgroup of positive dimension.

UR - https://arxiv.org/abs/1309.5585

U2 - 10.1090/memo/1114

DO - 10.1090/memo/1114

M3 - Article (Academic Journal)

SN - 0065-9266

VL - 236

JO - Memoirs of the American Mathematical Society

JF - Memoirs of the American Mathematical Society

M1 - 1114

ER -