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Low-frequency currents induced in adjacent spherical cells
Low-frequency currents adjacent spherical cells
2015/10/16
The currents induced inside cells by external electric fields in the frequency range 50–60 Hz are studied analytically by accounting for thin cell membranes with transverse conductivity that is small ...
Double Bruhat Cells in Kac-Moody Groups and Integrable Systems
Double Bruhat Cells Kac-Moody Groups Integrable Systems Quantum Algebra
2012/4/18
We construct a family of integrable Hamiltonian systems parametrized by pairs of Coxeter elements in the affine Weyl group. Their phase spaces are double Bruhat cells in the corresponding Kac-Moody gr...
Lower boundary hyperplanes of the canonical left cells in the affine Weyl group Wa（An-1）
affine Weyl groups left cells hyperplanes
2011/9/28
Let F be any canonical left cell of the affine Weyl group Wa of type A. We describe the lower boundary hyperplanes for F, which answer two questions of Humphreys.
Left cells with a-value 4 in the affine weyl groups Ei(i=6,7,8)
two-sided cell left cell a-function distinguished involution left-connected
2011/9/28
In the present paper,we give the respresentative set of left cell with a-value 4 in the affine weyl groups Ei(i=6,7,8),and the distinguished involution.Then we show that these left cells are left-conn...
Multiple steady states in a mathematical model for interactions between T cells and macrophages
mathematical model T cells and macrophages Cell Behavior
2011/10/9
Abstract: The aim of this paper is to prove results about the existence and stability of multiple steady states in a system of ordinary differential equations introduced by R. Lev Bar-Or to model the ...
Cells in Coxeter groups I
Cells Coxeter groups I
2011/1/17
In their seminal paper [KL1] Kazhdan and Lusztig introduced the notion of cells.These are equivalence classes in a Coxeter group W and corresponding Hecke algebra H that can be defined combinatorially...
Primitive ideals in quantum Schubert cells: dimension of the strata
quantum Schubert cells: dimension strata s
2010/12/1
The aim of this paper is to study the representation theory of quantum Schu-bert cells. Let g be a simple complex Lie algebra. To each element w of the Weyl group W of g, De Concini, Kac and Procesi h...