Dirac operators and Lie algebra cohomology (CROSBI ID 102983)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Huang, Jing-Song ; Pandžić, Pavle ; Renard, David
engleski
Dirac operators and Lie algebra cohomology
Dirac cohomology is a new tool to study unitary and admissible representations of semisimple Lie groups. It was introduced by Vogan and further studied by Kostant and ourselves. The aim of this paper is to study Dirac cohomology for the Kostant cubic Dirac operator and its relation to Lie algebra cohomology. We show that the Dirac cohomology coincides with the corresponding nilpotent Lie algebra cohomology in many cases, but in general it has better algebraic behavior and it is more accessible for calculation.
semisimple Lie group ; unitary representation ; admissible representation ; Dirac operator ; Lie algebra cohomology
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano