34 citations · 90 across the 9 of their papers we have counts for
9 papers
Orthonormal bases on
Goce Chadzitaskos, Miloslav Havlíček, Jiří Patera
We derive the explicit form of eigenvectors of selfadjoint extension , parametrized by of differential expression $ H=-\frac{d^2 }{d x^2} + \frac{x^2 }{4}…
q-Analog of Gelfand-Graev Basis for the Noncompact Quantum Algebra U_q(u(n,1))
R. M. Asherova, Č. Burdík, M. Havlíček +2
For the quantum algebra U_q(gl(n+1)) in its reduction on the subalgebra U_q(gl(n)) an explicit description of a Mickelsson-Zhelobenko reduction Z-algebra Z_q(gl(n+1),gl(n)) is give…
On representations of Lie algebras compatible with a grading
Miloslav Havlíček, Edita Pelantová, Jiří Tolar
The paper extends existing Lie algebra representation theory related to Lie algebra gradings. The notion of a representation compatible with a given grading is defined and applied…
The fine gradings of sl(3,C) and their symmetries
M. Havlicek, J. Patera, E. Pelantova +1
We describe the normalizers for all non-conjugate maximal Abelian subgroups of diagonalizable automorphisms of sl(3,C) and show their relation to the symmetries of equations relate…
Automorphisms of the fine grading of sl(n,C) associated with the generalized Pauli matrices
M. Havlíček, J. Patera, E. Pelantová +1
We consider the grading of by the group of generalized Pauli matrices. The grading decomposes the Lie algebra into one--dimensional subspaces. In t…
Representations of the q-deformed algebra U'_q(so_4)
M. Havlicek, A. U. Klimyk, S. Posta
We study the nonstandard -deformation of the universal enveloping algebra obtained by deforming the defining relations for skew-symmetric gene…