搜索结果: 1-15 共查到“代数学 functions”相关记录34条 . 查询时间(0.062 秒)
Homological and homotopical Dehn functions are different
Homological and homotopical Dehn functions Group Theory
font style='font-size:12px;'>
2012/5/24
The homological and homotopical Dehn functions are different ways of measuring the difficulty of filling a closed curve inside a group or a space. The homological Dehn function measures fillings of cy...
The Hopf algebra of odd symmetric functions
odd symmetric functions Hopf algebra Quantum Algebra
font style='font-size:12px;'>
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...
Schur function expansions of KP tau functions associated to algebraic curves
Schur function expansions of KP tau functions algebraic curves
font style='font-size:12px;'>
2010/12/28
The Schur function expansion of Sato-Segal-Wilson KP τ -functions is reviewed. The case of
τ -functions related to algebraic curves of arbitrary genus is studied in detail. Explicit expressions for t...
Instanton partition functions in N=2 SU(N) gauge theories with a general surface operator, and their W-algebra duals
Instanton partition functions N=2 SU(N) gauge theories general surface operator W-algebra duals
font style='font-size:12px;'>
2011/3/2
We write down an explicit conjecture for the instanton partition functions in 4d N = 2 SU(N) gauge theories in the presence of a certain type of surface operator.
Schur function expansions of KP tau functions associated to algebraic curves
Schur function expansions of KP tau functions algebraic curves
font style='font-size:12px;'>
2011/2/21
The Schur function expansion of Sato-Segal-Wilson KP τ -functions is reviewed. The case of
τ -functions related to algebraic curves of arbitrary genus is studied in detail.
Polynomial identity rings as rings of functions, II
Polynomial identity ring central simple algebra trace ring
font style='font-size:12px;'>
2011/1/18
In characteristic zero, Zinovy Reichstein and the author generalized the usual relationship between irreducible Zariski closed subsets of the affine space.
The Hadamard Type Inequalities for M-Convex Functions
The Hadamard Type Inequalities M-Convex Functions
font style='font-size:12px;'>
2010/11/11
In this paper we obtained some new Hadamard-Type inequalities for functions whose derivatives absolute values m-convex. Some applications to special means of real numbers are given.
Zeta-functions of weight lattices of compact semisimple connected Lie groups
Zeta-functions compact semisimple connected Lie groups
font style='font-size:12px;'>
2010/11/8
We define zeta-functions of weight lattices of compact semisimple connected Lie groups. If the group is simply-connected, these zeta-functions coincide with ordinary zeta-functions of root systems of ...
An elliptic curve test of the L-Functions Ratios Conjecture
An elliptic curve test the L-Functions Ratios Conjecture
font style='font-size:12px;'>
2010/11/19
We compare the L-Function Ratios Conjecture's prediction with number theory for the family of quadratic twists of a fixed elliptic curve with prime conductor, and show agreement in the 1-level densit...
On Unimodality of Hilbert Functions of Gorenstein Artin Algebras of Embedding Dimension Four
Hilbert Functions Gorenstein Artin Algebras
font style='font-size:12px;'>
2010/11/18
We prove that the Hilbert functions of codimension four graded Gorenstein Artin algebras R/I are unimodal provided I has a minimal generator in degree less than five. It is an open question whether al...
Analytic continuation of functions along parallel algebraic curves
Analytic continuation functions along parallel algebraic curves
font style='font-size:12px;'>
2010/11/11
In this work we study a problem about analytic continuation along parallel algebraic curves
Notes on algebras and vector spaces of functions
algebras vector spaces of functions
font style='font-size:12px;'>
2010/11/30
These informal notes are concerned with spaces of functions in various situations, including continuous functions on topological spaces, holomorphic functions of one or more complex variables, and so ...
Multiplicity-free skew Schur functions with interval support
Skew Schur functions Littlewood–Richardson coefficients multiplicity–free
font style='font-size:12px;'>
2010/12/9
It is known that the Schur expansion of a skew Schur function runs over the interval of partitions, equipped with dominance order, defined by the least and the most dominant Littlewood-Richardson fill...
Supercharacters, symmetric functions in noncommuting variables, and related Hopf algebras
Supercharacters symmetric functions noncommuting variables related Hopf algebras
font style='font-size:12px;'>
2010/12/9
We identify two seemingly disparate structures: supercharacters, a useful way of doing Fourier analysis on the group of unipotent uppertriangular matrices with coefficients in a finite
field, and the...
Laguerre and Meixner symmetric functions, and infinite-dimensional diffusion processes
Laguerre Meixner symmetric functions infinite-dimensional diffusion processes
font style='font-size:12px;'>
2010/12/3
The Laguerre symmetric functions introduced in the note are indexed by arbitrary partitions and depend on two continuous parameters. The top degree homogeneous component of every Laguerre symmetric fu...