On the Calculation of Group Characters
M. Gungormez, H. R. Karadayi
Abstract
It is known that characters of irreducible representations of finite Lie algebras can be obtained using theWeyl character formula including Weyl group summations which make actual calculations almost impossible except for a few Lie algebras of lower rank. By starting from the Weyl character formula, we show that these characters can be re-expressed without referring to Weyl group summations. Some useful technical points are given in detail for the instructive example of G2 Lie algebra.
Create a lesson
Related papers
On the Geometric Structure of Hyperbolic Clifford Bundles and Associated Spin Groups
Eduardo Notte-Cuello
Koopman-von Neumann formalism meets contact Hamiltonian systems
Federico Zadra
Lossless propagation bounds for long-range fermionic interactions
Stefan Teufel
Supersymmetric Neuromorphic FitzHugh--Nagumo model
D. Maroulakos, A. Wal, S. K. Mishra et al.
Separatrix splitting in a multiferroic neuromorphic oscillator: toward Arnold diffusion
D. Maroulakos, Z. Toklikishvili, A. Wal et al.
Anderson localisation in infinite and finite resonator crystals with long-range interactions
Habib Ammari, Xin Fu, Wenjia Jing et al.