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ON HECKE ALGEBRA ISOMORPHISMS AND TYPES FOR DEPTH-ZERO PRINCIPAL SERIES
HECKE ALGEBRA ISOMORPHISMS DEPTH-ZERO PRINCIPAL SERIES
2015/9/29
These lectures describe Hecke algebra isomorphisms and types for depth-zero
principal series blocks, a.k.a. Bernstein components Rs(G) for s = sχ = [T, χe]G, where χ
is a depth-zero character on T(O...
We de ne Schubert Eisenstein series as sums like usual Eisenstein
series but with the summation restricted to elements of a particular Schubert
cell, indexed by an element of the Weyl group. They ar...
Some remarks on very-well-poised 8phi7 series
Very-well-poised basic hypergeometric series Askey-Wilson functions quadratic transformation formulas theta functions
2012/4/17
Nonpolynomial basic hypergeometric eigenfunctions of the second order Askey-Wilson difference operator are known to be expressible as very-well-poised 8phi7 series. In this paper we use this fact to d...
Factoring formal power series over principal ideal domains
power series principal ideal domains Commutative Algebra
2011/9/20
Abstract: We provide an irreducibility test and factoring algorithm (with some qualificiations) for formal power series in the unique factorization domain $R[[X]]$, where $R$ is any principal ideal do...
We address the problem of ambiguity of a function determined by an asymptotic perturbation
expansion. Using a modified form of the Watson lemma recently proved elsewhere, we discuss a
large class of...
New series in the Johnson cokernels of the mapping class groups of surfaces
New series Johnson cokernels mapping class groups of surfaces
2011/1/20
Let g,1 be a compact oriented surface of genus g with one boundary component,andMg,1 its mapping class group. Morita showed that the image of the k-th Johnson homomorphism M
k of Mg,1 is contained ...
A Dilution Test for the Convergence of Subseries of a Monotone Series
Convergence Subseries of a Monotone Series
2010/11/24
Cauchy's condensation test allows to determine the convergence of a monotone series by looking at a weighted subseries that only involves terms of the original series indexed by the powers of two. It ...
Motivic Poincaré series, toric singularities and logarithmic jacobian ideals
Motivic Poincaré series toric singularities logarithmic jacobian ideals
2010/11/22
The geometric motivic Poincar\'e series of a variety, which was introduced by Denef and Loeser, takes into account the classes in the Grothendieck ring of the sequence of jets of arcs in the variety. ...
Arithmetic Motivic Poincaré series of toric varieties
Arithmetic Motivic Poincaré series toric varieties
2010/11/22
The arithmetic motivic Poincar\'e series of a variety $V$ defined over a field of characteristic zero, is an invariant of singularities which was introduced by Denef and Loeser by analogy with the Ser...
Gröbner-Shirshov Bases and Hilbert Series of Free Dendriform Algebras
Grö bner-Shirshov Bases Hilbert Series of Free Dendriform Algebras
2010/11/26
The universal theta divisor over the moduli space Ag of principally polarized abelian varieties of dimension g, is the divisor g inside the universal abelian variety Xg over Ag, characterized by two ...
Nonterminating Basic Hypergeometric Series and the q-Zeilberger Algorithm
basic hypergeometric series q-Zeilberger algorithm Bailey's very-well-poised summation formula Sears-Carlitz transformation Rogers-Fine identity
2014/6/3
We present a systematic method for proving nonterminating basic hypergeometric identities. Assume that k is the summation index. By setting a parameter x to xqn, we may find a recurrence relation of t...
Triangular Matrix Representations of Rings of Generalized Power Series
Generalized triangular matrix representation Twisted generalized power series ring PWP ring Triangulating dimension
2007/12/12
Let $R$ be a ring and $S$ a cancellative and torsion-free monoid and $\leq$ a strict order on $S$. If either $(S, \leq)$ satisfies the condition that $0\leq s$ for all $s\in S$, or $R$ is reduced, the...
期刊信息
篇名
Second-Order Nonlinear Optical Langmuir-Blodgett Films Made of a Series of Ferrocenyl Lanthanide Complexes
语种
英文
撰写或编译
作者
Li-Hua Gao ,Ke-Zhi Wang,Chun-Hui Huang,Xin-Sheng Zhao.Xiao-Hua Xia .Ji...
期刊信息
篇名
Second-order Nonlinear Optical Langmuir-Blodgett Films Based on a Series of Azo Rare-Earth Coorination Compounds
语种
英文
撰写或编译
作者
L.H.Gao,K.Z.Wang,C.H,Huang.XS.Zhao.X.H.Xia.T.K.Li and J.M.Xu.
第一...
期刊信息
篇名
Langmuir-Blodgett Film and Second Harmonic Generation of a Series of New Nonlinear Optical Rare Earth Complexes
语种
英文
撰写或编译
作者
Hui.Li,Chun-hui Huang,Yi-lei Zhao,Tian-kai Li ,Jie Bai,Xin-sheng ...