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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars:Zeros of complete symmetric polynomials over finite fields
有限域 完全对称 多项式 零点
2023/4/13
2017年对称群和相关代数的表示论研讨会(2017 International Workshop on Representation Theory of Symmetric Groups and Related Algebras)
2017年 对称群和相关代数的表示论 研讨会
2017/11/24
This 10-day workshop is devoted to the representation theory of symmetric groups and related algebras.The representation theory of symmetric groups and related algebras is a vibrant and dynamic resear...
High-Dimensional Centrally-Symmetric Polytopes With Neighborliness Proportional to Dimension
Centrosymmetric Polytopes Neighborly Polytopes
2015/8/21
Let A be a d by n matrix, d < n. Let C be the regular cross polytope (octahedron) in
R
n
. It has recently been shown that properties of the centrosymmetric polytope P = AC are
of interest for ...
Iteration theory of Maslov-type index associated with a Lagrangian subspace for symplectic paths and Multiplicity of brake orbits in bounded convex symmetric domains
Iteration theory Maslov-type index Lagrangian subspace symplectic paths and Multiplicity brake orbits in bounded convex symmetric domains
2015/4/3
Iteration theory of Maslov-type index associated with a Lagrangian subspace for symplectic paths and Multiplicity of brake orbits in bounded convex symmetric domains.
Index and Stability of Symmetric Periodic Orbits in Hamiltonian Systems with Application to Figure-Eight Orbit
Index and Stability of Symmetric Periodic Orbits Hamiltonian Systems Application to Figure-Eight Orbit
2015/4/3
Index and Stability of Symmetric Periodic Orbits in Hamiltonian Systems with Application to Figure-Eight Orbit.
Stationary Wigner Equation with In ow Boundary Conditions: Will a Symmetric Potential Yield a Symmetric Solution
Wigner equation In ow boundary conditions Well-posedness.
2014/9/26
Based on the well-posedness of the stationary Wigner equation with in
ow bound-ary conditions given in [1], we prove without any additional prerequisite conditions
that the solution of the Wigner eq...
On the Quiver Presentation of the Descent Algebra of the Symmetric Group
Descent algebra symmetric group quiver presentation
2012/6/15
We describe a presentation for the descent algebra of the symmetric group $\sym{n}$ as a quiver with relations. This presentation arises from a new construction of the descent algebra as a homomorphic...
Graded Cartan determinants of the symmetric groups
symmetric groups Iwahori-Hecke algebras graded representation theory quantum groups Shapovalov forms quiver Hecke algebras
2012/5/9
We give the graded Cartan determinants of the symmetric groups. Based on it, we propose a gradation of Hill's conjecture which is equivalent to K\"ulshammer-Olsson-Robinson's conjecture on the general...
Traces in symmetric monoidal categories
Traces symmetric monoidal categories Category Theory
2011/9/29
Abstract: The purpose of this expository note is to describe duality and trace in a symmetric monoidal category, along with important properties (including naturality and functoriality), and to give a...
The Hopf algebra of odd symmetric functions
odd symmetric functions Hopf algebra Quantum Algebra
2011/9/22
Abstract: We consider a q-analogue of the standard bilinear form on the commutative ring of symmetric functions. The q=-1 case leads to a Z-graded Hopf superalgebra which we call the algebra of odd sy...
Extension of Symmetric Spaces and Restriction of Weyl Groups and Invariant Polynomials
Invariant polynomials Extension of symmetric spaces Spherical Fourier transform
2011/1/17
Polynomial invariants are fundamental objects in analysis on Lie groups and symmetric spaces. Invariant differential operators on symmetric spaces are described by Weyl group invariant poly-nomial.
Random partitions and asymptotic theory of symmetric groups, Hecke algebras and finite Chevalley groups
Random partitions asymptotic theory of symmetric groups Hecke algebras finite Chevalley groups
2011/2/22
Kit meanwhile had begun to frequent the Applied Mechanics Institute. Since Prandtl’s recent discovery of the boundary layer, things over there had been hopping, with intense inquiry into matters of li...
On the automorphism group of tube type real symmetric domains
Jordan algebra Jordan triple system bounded symmetric domain partial Cayley transform
2011/1/18
The aim of this note is to explain a generalization to the real case of a well known result on the automorphism group of an unbounded tube type symmetric domain in a complex vector space of finite dim...
The GL_n(q)-module structure of the symmetric algebra around the Steinberg module
GL_n(q)-module structure symmetric algebra Steinberg module
2011/1/17
We determine the graded composition multiplicity in the symmetric algebra S•(V ) of the natural GLn(q)-module V , or equivalently in the coinvariant algebra of V ,for a large class of irreducibl...
Nonabelian Dold-Kan Decompositions for Simplicial and Symmetric-Simplicial Groups
Nonabelian Dold-Kan Decompositions Simplicial Symmetric-Simplicial Groups
2011/1/19
We extend the nonabelian Dold-Kan decomposition for simplicial groups of Carrasco and Cegarra [CC91] in two ways. First, we show that the total order of the subgroups in their decomposition belongs to...