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Nudelman interpolation, parametrizations of lossless functions and balanced realizations
Parametrization Inner matrices Interpolation algorithms
2011/2/21
We investigate the parametrization issue for discrete-time stable allpass multivariable systems by means of a Schur algorithm involving a Nudelman interpolation condition.
Balanced realizations of discrete-time stable all-pass systems and the tangential Schur algorithm
Balanced realizations of discrete-time stable all-pass systems tangential Schur algorithm
2011/2/21
In this paper, the connections are investigated between two different approaches towards
the parametrization of multivariable stable all-pass systems in discrete-time. The first approach involves the...
Finding complex balanced and detailed balanced realizations of chemical reaction networks
Finding complex balanced detailed balanced realizations chemical reaction networks
2010/11/15
Reversibility, weak reversibility and deficiency, detailed and complex balancing are generally not "encoded" in the kinetic differential equations but they are realization properties that may imply lo...
Universal commutative operator algebras and transfer function realizations of polynomials
Universal commutative operator algebras transfer function realizations of polynomials
2010/12/15
To each finite-dimensional operator space E is associated a commutative operator algebra UC(E), so that E embeds completely isometrically in UC(E) and any completely contractive
map from E to bounded...
We give a direct global proof for the existence of symplectic real-izations of arbitrary Poisson manifolds.
Polynomial realizations of some combinatorial Hopf algebras
Hopf algebras of decorated rooted trees Free quasi-symmetric functions
2010/12/3
We construct explicit polynomial realizations of some combinatorial Hopf algebras based on various kind of trees or forests, and some more general classes of graphs, ranging from the Connes-Kreimer al...
Three realizations of quantum affine algebra $U_q(A_2^{(2)})$
Three realizations quantum affine algebra $U_q(A_2^{(2)})$
2010/12/3
We establish explicit isomorphisms between three realizations of the quantum twisted affine algebra Uq(A(2)2 ): the Drinfeld (“current”) realization, the Chevalley realization, and
the so-called RLL ...
On geometric realizations of quantum modified algebras and their canonical bases, II
Quantum modified algebras canonical bases equivariant derived categories
2010/11/30
We prove part of the conjectures in [Li10a]. We also relate the construction of quantum modified algebras in [Li10a] with the functorial construction in [ZH08].
Quiver Varieties and Path Realizations arising from Adjoint Crystals of type $A_n^{(1)}$
adjoint crystal crystal graph Kac-Moody algebra
2010/12/6
Let B(0) be the level 1 highest weight crystal of the quantum affine algebra Uq(A (1)
n ).We construct an explicit crystal isomorphism between the geometric realization B(0) of B(0) via quiver var...
Laboratory Realizations of Stratified Seamount-trapped Waves
Laboratory Realizations Seamount-trapped Waves laboratory flow
2008/12/19
The response of a uniformly rotating, uniformly stratified fluid surrounding an axisymmetric Gaussian seamount to barotropic, rectilinear tidal forcing at a range of subinertial frequencies is examine...
On minimal realizations of point time-delay linear time-invariant systems
realization theory minimal partial realizations Hankel matrices point delays
2010/9/15
This brief paper deals with realization and partial realization results for timeinvariant
systems with, in general, incommensurate delays. The results are obtained based upon
the use of formal Laure...
Indecomposable Representations of the Square-Root Lie Algebras
of Vector Type and Their Boson Realizations
nonlinear Lie algebra indecomposable representation
boson realization angular momentum coherent state
2007/8/15
2001Vol.35No.5pp.513-518DOI:
Indecomposable Representations of the Square-Root Lie Algebras
of Vector Type and Their Boson Realizations
RUAN Dong,1,2,3 YUAN Jing,1 JIA Yu-Feng1 an...
Two Kinds of Two-Boson Realizations of Generally
Deformed Algebras with Three Generators
deformed algebra boson realization unitarization equation
2007/8/15
2007Vol.47No.3pp.529-534DOI:
Two Kinds of Two-Boson Realizations of Generally
Deformed Algebras with Three Generators
RUAN Dong,1,2,3 LI Yan-Song,1,2,3 and SUN Hong-Zhou2,4
...
Spinor Field Realizations of Non-critical W2,4 String
Based on Linear W1,2,4 Algebra
W string BRST charge spinor realization
2007/8/15
2006Vol.46No.4pp.675-678DOI:
Spinor Field Realizations of Non-critical W2,4 String
Based on Linear W1,2,4 Algebra
ZHANG Li-Jie1 and LIU Yu-Xiao2
1 Department of Mathema...
Single Boson Realizations of the Higgs Algebra
Higgs algebra nonlinear angular momentum algebra
boson realization
2007/8/15
2003Vol.40No.1pp.73-76DOI:
Single Boson Realizations of the Higgs Algebra
RUAN Dong,1,2,3
WU Chu,1 and SUN Hong-Zhou1,3,4
1 Department of Physics, Tsinghua University,...