The Decomposition and Classification of Radiant Affine 3-Manifolds
Title | The Decomposition and Classification of Radiant Affine 3-Manifolds PDF eBook |
Author | Suhyoung Choi |
Publisher | American Mathematical Soc. |
Pages | 137 |
Release | 2001 |
Genre | Mathematics |
ISBN | 0821827049 |
An affine manifold is a manifold with torsion-free flat affine connection - a geometric topologist would define it as a manifold with an atlas of charts to the affine space with affine transition functions. This title is an in-depth examination of the decomposition and classification of radiant affine 3-manifolds - affine manifolds of the type that have a holonomy group consisting of affine transformations fixing a common fixed point.
Kac Algebras Arising from Composition of Subfactors: General Theory and Classification
Title | Kac Algebras Arising from Composition of Subfactors: General Theory and Classification PDF eBook |
Author | Masaki Izumi |
Publisher | American Mathematical Soc. |
Pages | 215 |
Release | 2002 |
Genre | Mathematics |
ISBN | 0821829351 |
This title deals with a map $\alpha$ from a finite group $G$ into the automorphism group $Aut({\mathcal L})$ of a factor ${\mathcal L}$ satisfying (i) $G=N \rtimes H$ is a semi-direct product, (ii) the induced map $g \in G \to [\alpha_g] \in Out({\mathcal L})=Aut({\mathcal L})/Int({\mathcal L})$ is an injective homomorphism, and (iii) the restrictions $\alpha \! \! \mid_N, \alpha \! \! \mid_H$ are genuine actions of the subgroups on the factor ${\mathcal L}$. The pair ${\mathcal M}={\mathcal L} \rtimes_{\alpha} H \supseteq {\mathcal N}={\mathcal L} DEGREES{\alpha\mid_N}$ (of the crossed product ${\mathcal L} \rtimes_{\alpha} H$ and the fixed-point algebra ${\mathcal L} DEGREES{\alpha\mid_N}$) gives an irreducible inclusion of factors with Jones index $\# G$. The inclusion ${\mathcal M} \supseteq {\mathcal N}$ is of depth $2$ and hence known to correspond to a Kac algebra of dim
On the Classification of Polish Metric Spaces Up to Isometry
Title | On the Classification of Polish Metric Spaces Up to Isometry PDF eBook |
Author | Su Gao |
Publisher | American Mathematical Soc. |
Pages | 93 |
Release | 2003 |
Genre | Mathematics |
ISBN | 0821831909 |
The Based Ring of Two-Sided Cells of Affine Weyl Groups of Type $\widetilde {A}_{n-1}$
Title | The Based Ring of Two-Sided Cells of Affine Weyl Groups of Type $\widetilde {A}_{n-1}$ PDF eBook |
Author | Nanhua Xi |
Publisher | American Mathematical Soc. |
Pages | 114 |
Release | 2002 |
Genre | Mathematics |
ISBN | 0821828916 |
In this paper we prove Lusztig's conjecture on based ring for an affine Weyl group of type $\tilde A_{n-1}$.
Spectral Decomposition of a Covering of $GL(r)$: the Borel case
Title | Spectral Decomposition of a Covering of $GL(r)$: the Borel case PDF eBook |
Author | Heng Sun |
Publisher | American Mathematical Soc. |
Pages | 79 |
Release | 2002 |
Genre | Mathematics |
ISBN | 0821827758 |
Let $F$ be a number field and ${\bf A}$ the ring of adeles over $F$. Suppose $\overline{G({\bf A})}$ is a metaplectic cover of $G({\bf A})=GL(r, {\bf A})$ which is given by the $n$-th Hilbert symbol on ${\bf A}$
On the Splitting of Invariant Manifolds in Multidimensional Near-Integrable Hamiltonian Systems
Title | On the Splitting of Invariant Manifolds in Multidimensional Near-Integrable Hamiltonian Systems PDF eBook |
Author | Pierre Lochak |
Publisher | American Mathematical Soc. |
Pages | 162 |
Release | 2003 |
Genre | Mathematics |
ISBN | 0821832689 |
Presents the problem of the splitting of invariant manifolds in multidimensional Hamiltonian systems, stressing the canonical features of the problem. This book offers introduction of a canonically invariant scheme for the computation of the splitting matrix.
Geometry in History
Title | Geometry in History PDF eBook |
Author | S. G. Dani |
Publisher | Springer Nature |
Pages | 759 |
Release | 2019-10-18 |
Genre | Mathematics |
ISBN | 3030136094 |
This is a collection of surveys on important mathematical ideas, their origin, their evolution and their impact in current research. The authors are mathematicians who are leading experts in their fields. The book is addressed to all mathematicians, from undergraduate students to senior researchers, regardless of the specialty.