Results 101 to 110 of about 1,525 (197)

Polynomial algebras on coadjoint orbits of semisimple Lie groups

, 2002
We study the algebraic structure of the Poisson algebra P(O) of polynomials on a coadjoint orbit O of a semisimple Lie algebra. We prove that P(O) splits into a direct sum of its Lie center and its derived Lie ideal. We also show that P(O) is simple as a
Janusz Grabowski, Mark J. Gotay, Kaneshige, Bryon, Gotay, Mark J., Grabowski, Janusz, Bryon Kaneshige   +5 more
core   +1 more source

Corrigendum to “Divergence in lattices in semisimple Lie groups and graphs of groups”

, 2017
The authors correct an error in Proposition 3.24 of their work Divergence in lattices in semisimple Lie groups and graphs of groups, Trans. Amer. Math. Soc. 362 (2010), no. 5, 2451–2505.
Shahar Mozes, Mark Sapir, Cornelia Druţu   +2 more
core   +1 more source

Livsic's Theorem for Semisimple Lie Groups

, 2017
In this paper we show that strong generalizations of the measurable Livsic theorem for cocycles taking values in connected non-compact linear semisimple Lie groups, a canonical example being SL(2,R) can be deduced from an elegant approach of Brin and ...
Pollicott, Mark, Nicol, Matthew
core   +1 more source

On the Characters of a Semisimple Lie Group [PDF]

Bulletin of the American Mathematical Society, 1955
openaire   +3 more sources

Simultaneous Measurements of Noncommuting Observables: Positive Transformations and Instrumental Lie Groups. [PDF]

Entropy (Basel), 2023
Jackson CS, Caves CM.
europepmc   +1 more source

The Characters of Semisimple Lie Groups [PDF]

Transactions of the American Mathematical Society, 1956
openaire   +1 more source

SPHERICAL FUNCTIONS ON A SEMISIMPLE LIE GROUP [PDF]

Proceedings of the National Academy of Sciences, 1957
openaire   +4 more sources

Vector bundles on rational homogeneous spaces. [PDF]

Ann Mat Pura Appl, 2021
Du R, Fang X, Gao Y.
europepmc   +1 more source

The homotopy type of toric arrangements [PDF]

A toric arrangement is a finite set of hypersurfaces in a complex torus, every hypersurface being the kernel of a character. In the present paper we build a CW-complex S homotopy equivalent to the arrangement complement ℜ x, with a combinatorial ...
Luca Moci, Simona Settepanella
core  

On the quasi-isometric and bi-Lipschitz classification of 3D Riemannian Lie groups. [PDF]

Geom Dedic, 2021
Fässler K, Le Donne E.
europepmc   +1 more source