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SHIMURA VARIETIES WITH Γ1(p)-LEVEL VIA HECKE ALGEBRA ISOMORPHISMS: THE DRINFELD CASE
VIA HECKE ALGEBRA THE DRINFELD CASE
2015/9/29
We study the local factor at p of the semi-simple zeta function of a Shimura
variety of Drinfeld type for a level structure given at p by the pro-unipotent radical of an
Iwahori subgroup. Our method...
SUPERCHARACTERS AND SUPERCLASSES FOR ALGEBRA GROUPS
SUPERCHARACTERS super class of algebraic groups
2015/7/8
SUPERCHARACTERS AND SUPERCLASSES FOR ALGEBRA GROUPS。
清华大学博士后张杰: On the cluster category of a marked surface&On the cluster algebra of a marked surface
清华大学 博士后张杰 cluster category marked surface&On cluster algebra
2012/1/5
This is a joint work with Thomas Brustle. We study the cluster category C(S,M) of a marked surface (S,M). We explicitly describe the indecomposable objects in C(S,M) as homotopy classes of curves in (...
Direct proofs of the Feigin-Fuchs character formula for unitary representations of the Virasoro algebra
Direct proofs of the Feigin-Fuchs character unitary representations Virasoro algebra
2011/3/1
Previously we gave a proof of the Feigin–Fuchs character formula for the irreducible unitary
discrete series of the Virasoro algebra with 0 < c < 1.
A non-weakly amenable Banach algebra whose bidual is weakly amenable
Banach algebra weakly amenable
2010/11/9
We answer, in the negative, the question: Does a Banach algebra inherit weak amenability from its bidual?, which was open since 1996
Irreducible Highest Weight Representations Of The Simple n-Lie Algebra
Irreducible Highest Weight Representations The Simple n-Lie Algebra
2010/11/11
A. Dzhumadil'daev classified all irreducible finite dimensional representations of the simple n-Lie algebra. Using a slightly different approach, we obtain in this paper a complete classification of ...
On the algebraic set of singular elements in a complex simple Lie algebra
algebraic singular elements
2010/11/19
Let $G$ be a complex simple Lie group and let $\g = \hbox{\rm Lie}\,G$. Let $S(\g)$ be the $G$-module of polynomial functions on $\g$ and let $\hbox{\rm Sing}\,\g$ be the closed algebraic cone of sin...
A Generalization of the Weak Amenability of some Banach Algebra
Generalization Banach Algebra
2010/11/9
Let $A$ be a Banach algebra and $A^{**}$ be the second dual of it. We show that by some new conditions, $A$ is weakly amenable whenever $A^{**}$ is weakly amenable. We will study this problem under g...
A note on the von Neumann algebra of a Baumslag-Solitar group
the von Neumann algebra Baumslag-Solitar group
2010/11/19
We study qualitative properties of the group von Neumann algebra of a Baumslag-Solitar group. Namely, we prove that, in the non-amenable and {ICC} case, the associated ${\rm II}_1$ factor is prime, no...
Constructive diagonalization of an element X of the Jordan algebra J(3,O^3) by the exceptional group F_4
Constructive diagonalization element X the Jordan algebra
2010/11/9
We know that any element $X$ of the exceptional Jordan algebra $\gJ$ is transformed to a diagonal form by the compact exceptional Lie group $F_4$. However, its proof is used the method which is reduce...
We show a different modification of Poincare algebra that also preserves Lorentz algebra. The change begins with how boosts affect spacetime in a way similar to how they affect the momenta in kappa Po...
The structure of a the C*-algebra of a locally injective surjection
the C*-algebra locally injective surjection
2010/11/9
We obtain a description of the C*-algebras which can occur as a simple quotient of the C*-algebra of a locally injective surjection on a compact metric space of finite covering dimension.
In this paper I consider the structure of the polylinear mapping of the free algebra over the commutative ring.
Induced Mappings on Boolean Algebras of Clopen Sets and on Projections of the C*-Algebra C(X)
Unitary Projections Almost Isomorphisms Boolean Algebra Clopen Subset
2010/2/26
For a compact space X, any group automorphism j of C(X,S1) induces a mapping Q on the Boolean algebra of the clopen subsets of X. We prove that the disjointness of Q equivalent to qj is an orthoisomor...