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The critical group of an abelian network is a finite abelian group that governs the behavior of the network on large inputs. It generalizes the sandpile group of a graph. We show that the critical gro...
THE STEINBERG TORUS OF A WEYL GROUP AS A MODULE OVER THE COXETER COMPLEX
Hyperplane arrangement Coxeter complex Steinberg torus
2015/8/14
Associated to each irreducible crystallographic root system , there is a certain
cell complex structure on the torus obtained as the quotient of the ambient space by the
coroot lattice of . This i...
EFFICIENT COMPUTATION OF ISOTYPIC PROJECTIONS FOR THE SYMMETRIC GROUP
The same type prediction calculate symmetry group
2015/7/14
EFFICIENT COMPUTATION OF ISOTYPIC PROJECTIONS FOR THE SYMMETRIC GROUP.
This paper records the path of a letter that Marty Isaacs wrote to a stranger. The tools in the letter are used to illustrate a dierent way of studying random walk on the Heisenberg group. The author...
CARRIES, GROUP THEORY, AND ADDITIVE COMBINATORICS
Data occurred along the equalization algorithm minimize proportion
2015/7/7
When numbers are added in the usual way carries occur along the route. These carries cause a mess and it is natural to seek ways to minimize them. This paper proves that balanced arithmetic minimizes ...
Let A0 be a complete characteristic (0; p) discrete valuation ring with absolute ramication degree e and a perfect residue eld. We are interested in studying the category FFA0 of nite
at commutat...
The paper was motivated by a question of Vilonen, and the main
results have been used by Mirkovi′c and Vilonen to give a geometric interpretation of the dual group (as a Chevalley group over Z) of a ...
We develop the relative theory of reductive group schemes,
using dynamic techniques and algebraic spaces to streamline the original development in SGA3.
Twisted Weyl Group Multiple Dirichlet Series: The Stable Case
Stable Case Multiple Dirichlet Series
2015/7/6
Weyl group multiple Dirichlet series were associated with a root system Φ and a number
field F containing the n-th roots of unity by Brubaker, Bump, Chinta, Friedberg and Hoffstein [3] an...
Given a root system Φ of rank r and a global field F containing the n-th
roots of unity, it is possible to define a Weyl group multiple Dirichlet series whose
coefficients are n-th ...
Weyl Group Multiple Dirichlet Series: Type A Combinatorial Theory
Type A Combinatorial Theory Dirichlet Series
2015/7/6
Specically, two distinct versions of the Gelfand-Tsetlin denition were given. It
is not apparent that they are equal. Either of these denitions is purely local in that
it species the p-part of t...
Weyl Group Multiple Dirichlet Series, Eisenstein Series and Crystal Bases
Eisenstein Series Crystal Bases
2015/7/6
If F is a local eld containing the group n of n-th roots of unity, and if G is a split
semisimple simply connected algebraic group, then Matsumoto [27] dened an n-fold
covering group of G(F), tha...
Coefficients of the n-fold Theta Function and Weyl Group Multiple Dirichlet Series
Dirichlet Series Theta Function
2015/7/6
We establish a link between certain Whittaker coecients of the generalized
metaplectic theta functions, rst studied by Kazhdan and Patterson [14], and
the coecients of the stable Weyl group multi...
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日本冈山大学Misasa High-Pressure Group访问中国科学院地球化学研究所(图)
日本冈山大学 Misasa High-Pressure Group 中国科学院地球化学研究所
2015/6/25
应中国科学院地球内部物质高温高压重点实验室邀请,日本冈山大学地球内部物质科学研究所(ISEI, Okayama University)Misasa High-Pressure Group的Prof. ITOEiji等一行六人6月18日‒21日期间访问地球化学研究所,并于6月19日在地化所地球内部物质高温高压重点实验室三楼会议室做了系列学术报告,报告会由高压室的张宝华研究员和翟双猛研究员...
Ephedra-containing dietary supplements are consumed to improve sports performace, but may carry risks of cardiac and neurological adverse events. Little is known of their use by young athletes. Our ai...