Recursos de colección
Mori, Shigefumi; Prokhorov, Yuri
Ihara, Yasutaka
Enomoto, Naoya; Kashiwara, Masaki
In the preceding paper, we formulated a conjecture on the relations between certain classes of irreducible representations of a?ne Hecke algebras of type B and symmetric crystals for $gl?$. In the present paper, we prove the existence of the symmetric crystal and the global basis for $gl?$.
Barchini, L.; Kable, Anthony C.; Zierau, Roger
Several systems of partial di?erential operators are associated to each complex simple Lie algebra of rank greater than one. Each system is conformally invariant under the given algebra. The systems so constructed yield explicit reducibility results for a family of scalar generalized Verma modules attached to the Heisenberg parabolic subalgebra of the given Lie algebra. Points of reducibility for such families lie in the union of several arithmetic progressions, possibly overlapping. For classical algebras, enough systems are constructed to account for the ?rst point of reducibility in each progression. The relationship between these results and a conjecture of Akihiko Gyoja...
Polesello, Pietro
Eastham, Michael S. P.; Schmidt, Karl Michael
We study the asymptotics of the spectral density of one-dimensional Dirac systems
on the half-line with an angular momentum term and a potential tending to
infinity at infinity. The problem has two singular end-points; however, as the
spectrum is simple, the derivative of the spectral matrix has only one non-zero
eigenvalue which we take to be the spectral density. Our main result shows that,
assuming sufficient regularity of the potential, there are no points of spectral
concentration for large values of the spectral parameter outside a neighbourhood
of a discrete set of exceptional points.
Ueda, Tetsuo
We study local holomorphic mappings of one complex variable with parabolic fixed
points as a limit of a families of mappings with attracting fixed points. We
show that the Fatou coordinate for a parabolic fixed point can be obtained as a
limit of some linear function of the solutions to Schröder equation
for perturbed mappings with attracting fixed points.
Hiai, Fumio; Ueda, Yoshimichi
We study the microstate free entropy $\chi_{\proj}(p_1,\dots,p_n)$ of
projections, and establish its basic properties similar to the self-adjoint
variable case. Our main contribution is to characterize the pair-block freeness
of projections by the additivity of $\chi_{\proj}$ (Theorem \ref{T-4.1}), in the
proof of which a transportation cost inequality plays an important role. We also
briefly discuss the free pressure in relation to $\chi_{\proj}$
Zuniga-Galindo, W. A.
Yousofzadeh, Malihe
We give a finite presentation of the universal covering algebra of a Lie torus of
type $B_{\ell},$ $\ell\geq3$.
Hida, Takeyuki; Kubo, Izumi; Nomoto, Hisao; Yoshizawa, Hisaaki
Araki, Huzihiro
Urabe, Minoru
Mizohata, Sigeru; Ohya, Yujiro
Ikebe, Teruo; Tayoshi, Takao
Takenouchi, Osamu
Mochizuki, Kiyoshi
Ikebe, Teruo
Araki, Huzihiro