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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Bergman reproducing kernels for nearly holomorphic functions on bounded symmetric domains
伯格曼 有界对称域 近乎全纯函数 核
2023/4/17
Nearly holomorphic functions on symmetric domains are defined by Shimura as polynomial of differential of Kaehler potential with holomorphic coefficients. We find the corresponding Bergman reproducing...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars： Bergman reproducing kernels for nearly holomorphic functions on bounded symmetric domains
伯格曼 有界对称域 近乎全纯函数 核
2023/4/23
Nearly holomorphic functions on symmetric domains are defined by Shimura as polynomial of differential of Kaehler potential with holomorphic coefficients. We find the corresponding Bergman reproducing...
Asymptotic cone of semisimple orbits for symmetric pairs
asymptotic cone Richardson orbit nilpotent orbit symmetric pair
2011/2/21
Let G be a reductive algebraic group over C and denote its Lie algebra by g. Let Oh be a closed G-orbit through a semisimple element h ∈ g. By a result of Borho and Kraft [BK79], it is known that the ...
Generalizing Tanisaki's ideal via ideals of truncated symmetric functions
Generalizing Tanisaki's ideal ideals of truncated symmetric functions
2011/1/19
We de ne a family of ideals Ih in the polynomial ring Z[x1; x2; : : : ; xn] that are
parametrized by Hessenberg functions h (equivalently Dyck paths or ample partitions). The
ideals Ih generalize al...
Polytopes, Hopf algebras and Quasi-symmetric functions
Polytopes Hopf algebras Quasi-symmetric functions
2010/11/11
In this paper we use the technique of Hopf algebras and quasi-symmetric functions to study the combinatorial polytopes. Consider the free abelian group $\mathcal{P}$ generated by all combinatorial po...
Asymptotics of the Gelfand models of the symmetric groups
Asymptotics Gelfand models symmetric groups
2010/12/9
If a partition of size n is chosen randomly according to the Plancherel measure Pn[] =
(dim )2=n!, then as n goes to infinity, the rescaled shape of is with high probability very close to a non...
The Convolution Ring of Arithmetic Functions and Symmetric Polynomials
Arithmetic functions Multiplicative functions Additive functions
2010/12/3
Inspired by Rearick (1968), we introduce two new operators, LOG and EXP.The LOG operates on generalized Fibonacci polynomials giving generalized Lucas polynomials.The EXP is the inverse of LOG.
PRESCRIBING THE SYMMETRIC FUNCTION OF THE EIGENVALUES OF THE SCHOUTEN TENSOR
PRESCRIBING THE SYMMETRIC FUNCTION EIGENVALUES SCHOUTEN TENSOR
2018/4/19
In this paper we study the problem of conformally deforming a metric to a prescribed symmetric function of the eigenvalues of the Schouten tensor on compact Riemannian manifolds with boundary. We prov...
In this paper, we give an elementary proof of the fact that symmetric arithmetically Cohen-Macaulay monomial curves are set-theoretic complete intersections. The proof is constructive and provides the...