Journal of Lie Theory

no. 3
Semigroups in Semi-Simple Lie Groups: Flag Type and Estimation of Cocycles
Journal of Lie Theory, Volume 35 (2025) no. 3, pp. 557-571
The flag type of a semigroup S of a noncompact semisimple Lie group is an algebraic tool related to the geometry of the invariant control set determined by S on the flag manifolds of G. In the present paper, we show that it is possible to recover the flag type by studying the existence of lower bounds for cocycles on the maximal flag manifold.
DOI: 10.5802/jolt.1396
Classification: 20M20, 22E46, 14M15
Keywords: Semigroups, semisimple Lie groups, flag manifolds, cocycles 
@article{JOLT_2025_35_3_a4,
     author = {A. Da Silva and L. A. B. San Martin and J. V. Uzita},
     title = {Semigroups in {Semi-Simple} {Lie} {Groups:} {Flag} {Type} and {Estimation} of {Cocycles}},
     journal = {Journal of Lie Theory},
     pages = {557--571},
     year = {2025},
     volume = {35},
     number = {3},
     doi = {10.5802/jolt.1396},
     zbl = {08103101},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1396/}
}
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A. Da Silva; L. A. B. San Martin; J. V. Uzita. Semigroups in Semi-Simple Lie Groups: Flag Type and Estimation of Cocycles. Journal of Lie Theory, Volume 35 (2025) no. 3, pp. 557-571. doi: 10.5802/jolt.1396

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