Results 91 to 100 of about 1,525 (197)

Invariant algebras and completely reducible representations [PDF]

open access: yes, 1994
We give a general construction of affine noetherian algebras with the property that every finite dimensional representation is completely reducible. Starting from enveloping algebras of semi simple Lie algebras in characteristic zero we obtain explicit ...
Kraft, Hanspeter, Small, Lance W.
core  

Local rigidity of complex hyperbolic lattices in semisimple Lie groups

open access: yes, 2017
We show the local rigidity of complex hyperbolic lattices in classical Hermitian semisimple Lie groups, SU(p, q), Sp(2n + 2, ), SO∗(2n + 2), SO(2n, 2). This reproves or generalises some results in [2, 9, 11, 15]
Kim, Inkang,   +5 more
core   +1 more source

Compact homogeneous Leviflat CR-manifolds. [PDF]

open access: yesComplex Analysis Synerg, 2021
Al-Abdallah AR, Gilligan B.
europepmc   +1 more source

Invariants of automorphic lie algebras

open access: yes
Automorphic Lie Algebras arise in the context of reduction groups introduced in the late 1970s [35] in the field of integrable systems. They are subalgebras of Lie algebras over a ring of rational functions, denied by invariance under the action of a ...
Knibbeler, Vincent
core  

Commutators of small elements in compact semisimple groups and Lie algebras

open access: yes, 2016
Openness at the identity element of the commutator map of compact real semisimple Lie algebras and compact semisimple groups is ...
Maffei, Andrea   +4 more
core  

The dirac operator and the principal series for complex semisimple lie groups

open access: yes, 1983
The Dirac operator plays a fundamental role in the geometric construction of the discrete series for semisimple Lie groups. We show that, at the level of K-theory, the Dirac operator also plays a central role in connection with the principal series for ...
Plymen, R. J.   +3 more
core   +1 more source

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