10 citations · 28 across the 12 of their papers we have counts for
5 papers · 1 filter
On generalized self-similarities of cut-and-project sets
Zuzana Masáková, Jan Mazáč, Edita Pelantová
Cut-and-project sets represent one of the types of uniformly discrete relatively dense sets. They arise by projection of a section of a higher-dimensional la…
Markov constant and quantum instabilities
Edita Pelantová, Štěpán Starosta, Miloslav Znojil
For a qualitative analysis of spectra of certain two-dimensional rectangular-well quantum systems several rigorous methods of number theory are shown productive and useful. These m…
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…
Fine group gradings of the real forms of $sl(4,\C)$, $sp(4,\C)$, and $o(4,\C)$
Jiří Patera, Edita Pelantová, Milena Svobodová
We present an explicit description of the 'fine group gradings' (i.e. group gradings which cannot be further refined) of the real forms of the semisimple Lie algebras $sl(4,\C)$, $…
Quasicrystals: algebraic, combinatorial and geometrical aspects
Edita Pelantová, Zuzana Masáková
The paper presents mathematical models of quasicrystals with particular attention given to cut-and-project sets. We summarize the properties of higher-dimensional quasicrystal mode…