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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...
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.
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 di erent way of studying random walk on the Heisenberg group. The author...
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 rami cation 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 ...
REDUCTIVE GROUP SCHEMES     GROUP SCHEMES  reductive group       2015/7/6
We develop the relative theory of reductive group schemes, using dynamic techniques and algebraic spaces to streamline the original development in SGA3.
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 ...
Speci cally, two distinct versions of the Gelfand-Tsetlin de nition were given. It is not apparent that they are equal. Either of these de nitions is purely local in that it speci es the p-part of t...
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] de ned an n-fold covering group of G(F), tha...
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...
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...

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