RUS  ENG
Full version
JOURNALS // Trudy Instituta Matematiki i Mekhaniki UrO RAN

Trudy Inst. Mat. i Mekh. UrO RAN, 2023, Volume 29, Number 4, Pages 259–273 (Mi timm2052)

Special factors in the restrictions of irreducible modules of classical groups to subsystem subgroups with two simple components
I. D. Suprunenko, T. S. Busel, A. A. Osinovskaya

References

1. Burbaki N., Gruppy i algebry Li, gl. IV-VI, Mir, M., 1972, 334 pp.  mathscinet
2. Suprunenko I.D., “O povedenii unipotentnykh elementov v modulyarnykh predstavleniyakh klassicheskikh grupp s bolshimi starshimi vesami”, Dokl. NAN Belarusi, 53:1 (2009), 27–32  mathscinet  zmath
3. Steinberg R., Lektsii o gruppakh Shevalle, Mir, M., 1975, 264 pp.
4. Burness T.C., Ghandour S., Marion C., Testerman D.M., Irreducible almost simple subgroups of classical algebraic groups, Memoirs of the AMS, 236, 2015, 110 pp.  crossref  mathscinet
5. Burness T.C., Ghandour S., Testerman D.M., Irreducible geometric subgroups of classical algebraic groups, Memoirs of the AMS, 239, 2015, 100 pp.  mathscinet
6. Cavallin M., Testerman D.M., “A new family of irreducible subgroups of the orthogonal algebraic groups”, Trans. Amer. Math. Soc. Ser. B, 6:2 (2019), 45–79  crossref  mathscinet  zmath
7. Ghandour S., “Irreducible disconnected subgroups of exceptional algebraic groups”, J. Algebra, 323 (2010), 2671–2709  crossref  mathscinet  zmath
8. Korhonen M., Reductive overgroups of distinguished unipotent elements in simple algebraic groups, Ph.D. Thesis, EPFL, Lausanne, 2017, 241 pp.  crossref
9. Liebeck M.W., Seitz G.M., Testerman D.M., “Distinguished unipotent elements and multiplicity-free subgroups of simple algebraic groups”, Pacific J. Math., 279:1-2 (2015), 357–382  crossref  mathscinet  zmath
10. Lubeck F., “Small degree representations of finite Chevalley groups in defining characteristic”, LMS J. Comput. Math., 4 (2001), 135–169  crossref  mathscinet  zmath
11. Seitz G.M., The maximal subgroups of classical algebraic groups, Memoirs of the AMS, 365, 1987, 286 pp.  mathscinet  zmath
12. Smith S., “Irreducible modules and parabolic subgroups”, J. Algebra, 75 (1982), 286–289  crossref  mathscinet  zmath
13. Suprunenko I.D., “On Jordan blocks of elements of order $p$ in irreducible representations of classical groups with $p$-large highest weights”, J. Algebra, 191 (1997), 589–627  crossref  mathscinet  zmath
14. Suprunenko I.D., The minimal polynomials of unipotent elements in irreducible representations of the classical groups in odd characteristic, Memoirs of the Amer. Math. Soc., 200, no. 939, 2009, 154 pp.  crossref  mathscinet
15. Suprunenko I.D., “Special composition factors in restrictions of representations of special linear and symplectic groups to subsystem subgroups with two simple components”, Tr. In-ta matematiki, 26:1 (2018), 113–133  mathnet  mathscinet
16. Testerman D.M., Irreducible subgroups of exceptional algebraic groups , Memoirs of the AMS, 390, 1988, 190 pp.  mathscinet  zmath


© Steklov Math. Inst. of RAS, 2025