Representation Theory and Numerical AF-Invariants

Representation Theory and Numerical AF-Invariants PDF Author: Ola Bratteli
Publisher: American Mathematical Soc.
ISBN: 0821834916
Category : Mathematics
Languages : en
Pages : 202

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Book Description
Part A. Representation theory Part B. Numerical AF-invariants Bibliography List of figures List of tables List of terms and symbols.

Representation Theory and Numerical AF-Invariants

Representation Theory and Numerical AF-Invariants PDF Author: Ola Bratteli
Publisher: American Mathematical Soc.
ISBN: 0821834916
Category : Mathematics
Languages : en
Pages : 202

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Book Description
Part A. Representation theory Part B. Numerical AF-invariants Bibliography List of figures List of tables List of terms and symbols.

Rigidity Theorems for Actions of Product Groups and Countable Borel Equivalence Relations

Rigidity Theorems for Actions of Product Groups and Countable Borel Equivalence Relations PDF Author: Greg Hjorth
Publisher: American Mathematical Soc.
ISBN: 0821837710
Category : Mathematics
Languages : en
Pages : 126

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Book Description
Contributes to the theory of Borel equivalence relations, considered up to Borel reducibility, and measures preserving group actions considered up to orbit equivalence. This title catalogs the actions of products of the free group and obtains additional rigidity theorems and relative ergodicity results in this context.

The Second Duals of Beurling Algebras

The Second Duals of Beurling Algebras PDF Author: Harold G. Dales
Publisher: American Mathematical Soc.
ISBN: 0821837745
Category : Mathematics
Languages : en
Pages : 206

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Book Description
Let $A$ be a Banach algebra, with second dual space $A""$. We propose to study the space $A""$ as a Banach algebra. There are two Banach algebra products on $A""$, denoted by $\,\Box\,$ and $\,\Diamond\,$. The Banach algebra $A$ is Arens regular if the two products $\Box$ and $\Diamond$ coincide on $A""$.

Kleinian Groups which Are Limits of Geometrically Finite Groups

Kleinian Groups which Are Limits of Geometrically Finite Groups PDF Author: Ken'ichi ƌshika
Publisher: American Mathematical Soc.
ISBN: 0821837729
Category : Mathematics
Languages : en
Pages : 136

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Book Description
Ahlfors conjectured in 1964 that the limit set of every finitely generated Kleinian group either has Lebesgue measure $0$ or is the entire $S^2$. This title intends to prove that this conjecture is true for purely loxodromic Kleinian groups which are algebraic limits of geometrically finite groups.

Well-Posedness for General $2\times 2$ Systems of Conservation Laws

Well-Posedness for General $2\times 2$ Systems of Conservation Laws PDF Author: Fabio Ancona
Publisher: American Mathematical Soc.
ISBN: 0821834355
Category : Mathematics
Languages : en
Pages : 186

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Book Description
Considers the Cauchy problem for a strictly hyperbolic $2\times 2$ system of conservation laws in one space dimension $u_t+ F(u)]_x=0, u(0, x)=\bar u(x), $ which is neither linearly degenerate nor genuinely non-linea

Quasi-Ordinary Power Series and Their Zeta Functions

Quasi-Ordinary Power Series and Their Zeta Functions PDF Author: Enrique Artal-Bartolo
Publisher: American Mathematical Soc.
ISBN: 9780821865637
Category : Functions, Zeta
Languages : en
Pages : 100

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Book Description
The main objective of this paper is to prove the monodromy conjecture for the local Igusa zeta function of a quasi-ordinary polynomial of arbitrary dimension defined over a number field. In order to do it, we compute the local Denef-Loeser motivic zeta function $Z_{\text{DL}}(h,T)$ of a quasi-ordinary power series $h$ of arbitrary dimension over an algebraically closed field of characteristic zero from its characteristic exponents without using embedded resolution of singularities. This allows us to effectively represent $Z_{\text{DL}}(h,T)=P(T)/Q(T)$ such that almost all the candidate poles given by $Q(T)$ are poles. Anyway, these candidate poles give eigenvalues of the monodromy action on the complex $R\psi_h$ of nearby cycles on $h^{-1}(0).$ In particular we prove in this case the monodromy conjecture made by Denef-Loeser for the local motivic zeta function and the local topological zeta function. As a consequence, if $h$ is a quasi-ordinary polynomial defined over a number field we prove the Igusa monodromy conjecture for its local Igusa zeta function.

Exceptional Vector Bundles, Tilting Sheaves and Tilting Complexes for Weighted Projective Lines

Exceptional Vector Bundles, Tilting Sheaves and Tilting Complexes for Weighted Projective Lines PDF Author: Hagen Meltzer
Publisher: American Mathematical Soc.
ISBN: 082183519X
Category : Mathematics
Languages : en
Pages : 154

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Book Description
Deals with weighted projective lines, a class of non-commutative curves modelled by Geigle and Lenzing on a graded commutative sheaf theory. They play an important role in representation theory of finite-dimensional algebras; the complexity of the classification of coherent sheaves largely depends on the genus of these curves.

Mutually Catalytic Super Branching Random Walks: Large Finite Systems and Renormalization Analysis

Mutually Catalytic Super Branching Random Walks: Large Finite Systems and Renormalization Analysis PDF Author: J. T. Cox
Publisher: American Mathematical Soc.
ISBN: 0821835424
Category : Mathematics
Languages : en
Pages : 114

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Book Description
Studies the evolution of the large finite spatial systems in size-dependent time scales and compare them with the behavior of the infinite systems, which amounts to establishing the so-called finite system scheme. This title introduces the concept of a continuum limit in the hierarchical mean field limit.

Integrable Hamiltonian Systems on Complex Lie Groups

Integrable Hamiltonian Systems on Complex Lie Groups PDF Author: Velimir Jurdjevic
Publisher: American Mathematical Soc.
ISBN: 0821837648
Category : Mathematics
Languages : en
Pages : 150

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Book Description
Studies the elastic problems on simply connected manifolds $M_n$ whose orthonormal frame bundle is a Lie group $G$. This title synthesizes ideas from optimal control theory, adapted to variational problems on the principal bundles of Riemannian spaces, and the symplectic geometry of the Lie algebra $\mathfrak{g}, $ of $G$

Infinite Dimensional Complex Symplectic Spaces

Infinite Dimensional Complex Symplectic Spaces PDF Author: William Norrie Everitt
Publisher: American Mathematical Soc.
ISBN: 0821835459
Category : Mathematics
Languages : en
Pages : 94

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Book Description
Complex symplectic spaces are non-trivial generalizations of the real symplectic spaces of classical analytical dynamics. This title presents a self-contained investigation of general complex symplectic spaces, and their Lagrangian subspaces, regardless of the finite or infinite dimensionality.