33 research outputs found
Comparative and statistical analysis between the CERN conference database and three other bases
This is a comparison between three scientific conference databases and CERN data. High Energy Physics institutes DESY and SLAC databases and the STN-FIZ commercial one's are described and analysed by statistical tables. We plan to work out a co-operation policy especially with DESY for exchange or data import
Gr\"{o}bner-Shirshov bases for metabelian Lie algebras
In this paper, we establish the Gr\"{o}bner-Shirshov bases theory for
metabelian Lie algebras. As applications, we find the Gr\"{o}bner-Shirshov
bases for partial commutative metabelian Lie algebras related to circuits,
trees and some cubes.Comment: 20 page
Ola Bratteli and his diagrams
This article discusses the life and work of Professor Ola Bratteli
(1946--2015). Family, fellow students, his advisor, colleagues and coworkers
review aspects of his life and his outstanding mathematical accomplishments.Comment: 18 pages, 15 figure
Spectral equations for the modular oscillator
Motivated by applications for non-perturbative topological strings in toric
Calabi--Yau manifolds, we discuss the spectral problem for a pair of commuting
modular conjugate (in the sense of Faddeev) Harper type operators,
corresponding to a special case of the quantized mirror curve of local
and complex values of Planck's constant. We
illustrate our analytical results by numerical calculations.Comment: 23 pages, 9 figures, references added and interpretation of the
numerical results of Section 6 correcte
R-operator, co-product and Haar-measure for the modular double of U_q(sl(2,R))
A certain class of unitary representations of U_q(sl(2,R)) has the property
of being simultanenously a representation of U_{tilde{q}}(sl(2,R)) for a
particular choice of tilde{q}(q). Faddeev has proposed to unify the quantum
groups U_q(sl(2,R)) and U_{tilde{q}}(sl(2,R)) into some enlarged object for
which he has coined the name ``modular double''. We study the R-operator, the
co-product and the Haar-measure for the modular double of U_q(sl(2,R)) and
establish their main properties. In particular it is shown that the
Clebsch-Gordan maps constructed in [PT2] diagonalize this R-operator.Comment: 27 pages, LaTex (smfart.sty