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Group theory for physicists》     物理学  群论  高能物理学       font style='font-size:12px;'> 2023/8/7
Group theory for physicists.
Since the work by Caffarelli-Chan-Silvestre-Vasseur, integro-differential equations naturally arise from models in physics, engineering, and finance, attracting an increasing level of interest. They a...
Since the work by Caffarelli-Chan-Silvestre-Vasseur, integro-differential equations naturally arise from models in physics, engineering, and finance, attracting an increasing level of interest. They a...
2018年群论研讨会(Ischia Group Theory 2018)     2018年  群论  研讨会       font style='font-size:12px;'> 2017/12/20
A Conference on Group Theory will be held at Grand Hotel delle Terme Re Ferdinando, in Ischia (Naples, Italy), from Monday, March 19th, to Friday, March 23rd, 2018. The arrival of participants is expe...
The workshop will survey various important and active areas of the representation theory of finite and algebraic groups, and introduce the audience to several basic open problems in the area. It will ...
Let G be a finite group. We classify G-equivariant flow equivalence of nontrivial irreducible shifts of finite type interms of (i) elementary equivalence of matrices over ZG and (ii) the conjugacy cla...
The Geometric Invariants of Group Extensions     The Geometric Invariants  Group Extensions  Group Theory       font style='font-size:12px;'> 2012/6/30
In this paper, we compute the {\Sigma}^n(G) and {\Omega}^n(G) invariants when 1 \rightarrow H \rightarrow G \rightarrow K \rightarrow 1 is a short exact sequence of finitely generated groups with K fi...
First, we study a descending filtration of the ring of Fricke characters of a free group consisting of ideals on which the automorphism group of a free group acts. Then using it, we define a descendin...
A precompact group topology $\tau$ on an abelian group $G$ is called {\em single sequence characterized} (for short, {\em ss-characterized}) if there is a sequence $\mathbf{u}= (u_n)$ in $G$ such that...
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...
We prove a few basic facts about the space of bi-invariant (or left-invariant) total order relations on a torsion-free, nonabelian, nilpotent group G. For instance, we show that the space of bi-invari...
Abstract: We describe some of the geometric properties of the automorphism group Aut(F) of Thompson's group F. We give realizations of Aut(F) geometrically via periodic tree pair diagrams, which lead ...
Sieve methods in group theory I: Powers in Linear groups     Sieve  Property-T  Powers  Linear groups  Finite groups of Lie type       font style='font-size:12px;'> 2011/9/14
Abstract: A general sieve method for groups is formulated. It enables one to "measure" subsets of a finitely generated group. As an application we show that if $\Gamma$ is a finitely generated non vir...
Abstract: Let K be a skew field and (G,<) an ordered group. We show that the skew field generated by the group ring K[G] inside the Malcev-Neumann series ring K((G;<)) contains noncommutative free gro...
Centralizers in R. Thompson's group V_n     Centralizers  R. Thompson's group  Group Theory  Dynamical Systems       font style='font-size:12px;'> 2011/8/25
Abstract: Let n be bigger than 1 and let A be an element in the Higman-Thompson group V_n. We study the structure of the centralizer of a in V_n through a careful analysis of the action of the group g...

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