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Torsion units in integral group rings of Conway simple groups
Zassenhaus conjecture torsion unit partial augmentation
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2011/2/24
Using the Luthar–Passi method, we investigate the possible orders and partial augmentations of torsion units of the normalized unit group of integral group rings of Conway simple groups Co1, Co2 and C...
Tilting and cluster tilting for quotient singularities
Cohen-Macaulay module quotient singularity stable category triangulated category
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2011/3/1
We shall show that the stable categories of graded Cohen-Macaulay modules over quotient
singularities have tilting objects. In particular, these categories are triangle equivalent to derived cat-egor...
On certain varieties attached to a Weyl group element
certain varieties Weyl group element
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2011/1/20
0. Introduction and statement of results 0.1. Let k be an algebraically closed field. Let G be a connected reductive algebraic group over k. We assume that we are in one of the following two cases.(1)...
Hodge classes on certain hyperelliptic prymians
Hodge classes certain hyperelliptic prymians
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2011/2/22
Throughout this paper K is a field, ¯K its algebraic closure and Gal(K) =Aut( ¯K /K) the absolute Galois group of K.
Stein's method and the multivariate CLT for traces of powers on the classical compact groups
random matrices compact Lie groups Haar measure traces of powers Stein’s method
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2011/2/22
Let Mn be a random element of the unitary, special orthogonal, or unitary symplectic groups, distributed according to Haar measure. By a classical result of Diaconis and Shahshahani, for large matrix ...
The biHecke monoid of a finite Coxeter group and its representations
Coxeter groups Hecke algebras representation theory blocks of permutation matrices
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2011/1/19
For any finite Coxeter group W, we introduce two new objects:its cutting poset and its biHecke monoid. The cutting poset, constructed using a generalization of the notion of blocks in permutation matr...
Cluster categories
Cluster categories
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2011/2/25
Cluster algebras were introduced by Fomin-Zelevinsky in 2002 in order to give a combinatorial framework for phenomena occurring in the context of algebraic groups.
Polynilpotent Capability of Finitely Generated Abelian Groups
Varietal capability Finitely generated Abelian groups Polynilpotent variety
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2011/1/17
In this paper we determine all finitely generated abelian groups which are varietal capable with respect to the variety of polynilpotent groups. This result is a vast generalization of the famous Baer...
Asymptotic invariants, complexity of groups and related problems
word problem conjugacy problem computational complexity
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2011/1/19
We survey results about computational complexity of the word problem in groups, Dehn functions of groups and related problems.
An interacting particles model and a Pieri-type formula for the orthogonal group
interacting particles model Pieri-type formula orthogonal group
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2011/1/17
We introduce a new interacting particles model with blocking and pushing interactions. Particles evolve on the positive line jumping on their own volition rightwards or leftwards according to geometri...
The Non-Compact Weyl Equation
Non-Compact Weyl Equation
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2011/3/4
A non-compact version of the Weyl equation is proposed, based on the spin zero rep-resentation of the sl2 algebra. Solutions of the aforementioned equation are obtained in terms of the Kummer function...
Connection between the renormalization groups of Stückelberg-Petermann and Wilson
Connection renormalization groups Stückelberg-Petermann Wilson
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2011/3/4
The St¨uckelberg-Petermann renormalization group is the group of finite renormalizations of the S-matrix in the framework of causal perturbation theory.
On some ergodicity properties for time inhomogeneous Markov processes with $T$-periodic semigroup
Markov processes diffusion processes inhomogeneity in time periodicity Lyapunov function
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2011/2/25
We consider a time inhomogeneous strong Markov process (ξt)t0 taking values in a Polish state space whose semigroup has a T -periodic structure. After reviewing some conditions which imply ergodicity...
Smooth Lie group actions are parametrized diffeological subgroups
Smooth Lie group actions parametrized diffeological subgroups
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2011/1/17
We show that every effective smooth action of a Lie group G on a manifold M is a diffeomorphism from G onto its image in Diff(M), where the image is equipped with the subset
diffeology of the functio...
Mathieu Subspaces of Univariate Polynomial Algebras
Mathieu subspaces the (Strong) Image Conjecture the (Strong) Integral Conjecture
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2011/1/20
We first give a characterization for Mathieu subspaces of univariate polynomial algebras over fields in terms of their radicals.We then deduce that for some classes of classical univariate
orthogonal...