Semigroups in Semi-Simple Lie Groups: Flag Type and Estimation of Cocycles

Adriano Da Silva; Luiz Antonio Barrera San Martin; João Victor Uzita

Semigroups in Semi-Simple Lie Groups: Flag Type and Estimation of Cocycles

Adriano Da Silva
, Luiz Antonio Barrera San Martin
, João Victor Uzita

Department of Mathematics

Universidade Estadual de Campinas
Universidad de Tarapacá

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	557-571
Number of pages	15
Journal	Journal of Lie Theory
Volume	35
Issue number	3
State	Published - 2025

Keywords

cocycles
flag manifolds
Semigroups
semisimple Lie groups

Cite this

@article{6fa6200d7d4644c392979b9d79c79232,

title = "Semigroups in Semi-Simple Lie Groups: Flag Type and Estimation of Cocycles",

abstract = "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.",

keywords = "cocycles, flag manifolds, Semigroups, semisimple Lie groups",

author = "\{Da Silva\}, Adriano and \{San Martin\}, \{Luiz Antonio Barrera\} and Uzita, \{Jo{\~a}o Victor\}",

note = "Publisher Copyright: {\textcopyright} 2025 Heldermann Verlag.",

year = "2025",

language = "English",

volume = "35",

pages = "557--571",

journal = "Journal of Lie Theory",

issn = "0949-5932",

number = "3",

}

TY - JOUR

T1 - Semigroups in Semi-Simple Lie Groups

T2 - Flag Type and Estimation of Cocycles

AU - Da Silva, Adriano

AU - San Martin, Luiz Antonio Barrera

AU - Uzita, João Victor

PY - 2025

Y1 - 2025

N2 - 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.

AB - 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.

KW - cocycles

KW - flag manifolds

KW - Semigroups

KW - semisimple Lie groups

UR - https://www.scopus.com/pages/publications/105020176565

M3 - Article

AN - SCOPUS:105020176565

SN - 0949-5932

VL - 35

SP - 557

EP - 571

JO - Journal of Lie Theory

JF - Journal of Lie Theory

IS - 3

ER -

Semigroups in Semi-Simple Lie Groups: Flag Type and Estimation of Cocycles

Abstract

Keywords

Other files and links

Fingerprint

Cite this