Izvorni znanstveni članak
On Kac parameters and spectral decomposition of a matrix of specialized roots of Lie algebra sl_n
Zlatko Drmač
; Faculty of Sciences, Department of Mathematics, University of Zagreb, 10000 Zagreb, Croatia
Tomislav Šikić
; Faculty of Electrical Engineering and Computing, University of Zagreb, 10000 Zagreb, Croatia
Sažetak
This paper presents interesting spectral properties of a
particular integer skew-symmetric matrix, used to encode information on Z-gradation of type ˜s for classical affine Lie algebra ˜sl_n. It is shown that the hidden Kac parameters can be revealed using an explicitly computed eigenvector in a Gram-Schmidt orthogonalization process.
Ključne riječi
Z-gradation for classical (affine) Lie algebra, Kac parameters of finite order automorphisms of simple Lie algebras, matrix of specialized roots, integer skew-symmetric matrix, spectral decomposition
Hrčak ID:
127646
URI
Posjeta: 823 *