Results 151 to 160 of about 285 (163)

Right coideal subalgebras of the quantum Borel algebra of type G2

Journal of Algebra, 2009
In this paper we describe the right coideal subalgebras containing all group-like elements of the multiparameter quantum group Uq+(g), where g is a simple Lie algebra of type G2, while the main parameter of quantization q is not a root of 1.
Barbara Pogorelsky
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Symmetries of the Poset of Abelian Ideals in a Borel Subalgebra

Journal of Lie Theory, 2014
The study of abelian subalgebras of a finite dimensional semisimple Lie algebra has an ancient root. In 1945, \textit{A. I. Mal'tsev} [Izv. Akad. Nauk SSSR, Ser. Mat. 9, 291--300 (1945; Zbl 0063.03728)] found the maximal dimension of the abelian subalgebras of a finite dimensional simple Lie algebra. Also in 1965, \textit{B. Kostant} [Topology 3, Suppl.
P. Cellini, MÖSENEDER FRAJRIA, PIERLUIGI, P. Papi   +2 more
openaire   +5 more sources

Borel subalgebras of restricted Cartan -Type Lie algebras

Journal of Algebra and Its Applications, 2021
It is still an open problem to determine the conjugacy classes of Borel subalgebras of non-classical type Lie algebras. In this paper, we prove that there are at least 2 conjugacy classes of Borel subalgebras as well as maximal triangulable subalgebras of restricted Cartan type Lie algebras of type W, S and H. We are particularly interested in maximal
Ke Ou, Bin Shu
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EULER EQUATIONS ON BOREL SUBALGEBRAS OF SEMISIMPLE LIE ALGEBRAS

Mathematics of the USSR-Izvestiya, 1980
A method connected with the translates of the invariants and semi-invariants of Ad* is given for the construction of completely integrable dynamical systems on real forms of Borel subalgebras of semisimple complex Lie algebras. A reduction of the noncommutative Liouville theorem to the commutative case is thereby obtained for the indicated class of Lie
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A NOTE ON ABELIAN IDEALS OF A BOREL SUBALGEBRA

2007
In this paper we will construct a specific subset of a positive root system of a simple Lie algebra, and will show that our subset can yield an abelian ideal of a Borel subalgebra.
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Local derivations on Borel subalgebras of finite-dimensional simple Lie algebras

Communications in Algebra, 2020
Zhengxin Chen
exaly  

Regular Hom-Lie structures on Borel subalgebras of finite-dimensional simple Lie algebras

Communications in Algebra, 2020
Zhengxin Chen
exaly  

Exact borel subalgebras of quasi-hereditary algebras, I

Mathematische Zeitschrift, 1995
Steffen KÖNIG
exaly  

A characterization of the borel-like subalgebras of quantum enveloping algebras

Communications in Algebra, 1996
Peter Schauenburg
exaly  

Borel Subalgebras and Categories of Highest Weight Modules for Toroidal Lie Algebras

Journal of Algebra, 2001
Vyacheslav Futorny
exaly