Equivariant Analytic Localization Of Group Representations PDF Download
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Author | : Laura Ann Smithies |
Publisher | : American Mathematical Soc. |
Total Pages | : 106 |
Release | : 2001 |
Genre | : Mathematics |
ISBN | : 0821827251 |
Download Equivariant Analytic Localization of Group Representations Book in PDF, ePub and Kindle
This book is intended for graduate students and research mathematicians interested in topological groups, Lie groups, category theory, and homological algebra.
Author | : Wojciech Chachólski |
Publisher | : American Mathematical Soc. |
Total Pages | : 106 |
Release | : 2002 |
Genre | : Mathematics |
ISBN | : 0821827596 |
Download Homotopy Theory of Diagrams Book in PDF, ePub and Kindle
In this paper the authors develop homotopy theoretical methods for studying diagrams. In particular they explain how to construct homotopy colimits and limits in an arbitrary model category. The key concept introduced is that of a model approximation. A model approximation of a category $\mathcal{C}$ with a given class of weak equivalences is a model category $\mathcal{M}$ together with a pair of adjoint functors $\mathcal{M} \rightleftarrows \mathcal{C}$ which satisfy certain properties. The key result says that if $\mathcal{C}$ admits a model approximation then so does the functor category $Fun(I, \mathcal{C})$.
Author | : Martina Brück |
Publisher | : American Mathematical Soc. |
Total Pages | : 111 |
Release | : 2002 |
Genre | : Mathematics |
ISBN | : 0821827537 |
Download The Submanifold Geometries Associated to Grassmannian Systems Book in PDF, ePub and Kindle
This work is intended for graduate students and research mathematicians interested in differential geometry and partial differential equations.
Author | : M. van den Bergh |
Publisher | : American Mathematical Soc. |
Total Pages | : 157 |
Release | : 2001 |
Genre | : Mathematics |
ISBN | : 0821827545 |
Download Blowing Up of Non-Commutative Smooth Surfaces Book in PDF, ePub and Kindle
This book is intended for graduate students and research mathematicians interested in associative rings and algebras, and noncommutative geometry.
Author | : Markus Banagl |
Publisher | : American Mathematical Soc. |
Total Pages | : 101 |
Release | : 2002 |
Genre | : Mathematics |
ISBN | : 0821829882 |
Download Extending Intersection Homology Type Invariants to Non-Witt Spaces Book in PDF, ePub and Kindle
Intersection homology theory provides a way to obtain generalized Poincare duality, as well as a signature and characteristic classes, for singular spaces. For this to work, one has had to assume however that the space satisfies the so-called Witt condition. We extend this approach to constructing invariants to spaces more general than Witt spaces.
Author | : Yasuro Gon |
Publisher | : American Mathematical Soc. |
Total Pages | : 130 |
Release | : 2002 |
Genre | : Mathematics |
ISBN | : 0821827634 |
Download Generalized Whittaker Functions on $SU(2,2)$ with Respect to the Siegel Parabolic Subgroup Book in PDF, ePub and Kindle
Obtains an explicit formula for generalized Whittaker functions and multiplicity one theorem for all discrete series representations of $SU(2,2)$.
Author | : Masaki Izumi |
Publisher | : American Mathematical Soc. |
Total Pages | : 215 |
Release | : 2002 |
Genre | : Mathematics |
ISBN | : 0821829351 |
Download Kac Algebras Arising from Composition of Subfactors: General Theory and Classification Book in PDF, ePub and Kindle
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
Author | : Daniel Panazzolo |
Publisher | : American Mathematical Soc. |
Total Pages | : 122 |
Release | : 2002 |
Genre | : Mathematics |
ISBN | : 0821829270 |
Download Desingularization of Nilpotent Singularities in Families of Planar Vector Fields Book in PDF, ePub and Kindle
This work aims to prove a desingularization theorem for analytic families of two-dimensional vector fields, under the hypothesis that all its singularities have a non-vanishing first jet. Application to problems of singular perturbations and finite cyclicity are discussed in the last chapter.
Author | : Bruce Normansell Allison |
Publisher | : American Mathematical Soc. |
Total Pages | : 175 |
Release | : 2002 |
Genre | : Mathematics |
ISBN | : 0821828118 |
Download Lie Algebras Graded by the Root Systems BC$_r$, $r\geq 2$ Book in PDF, ePub and Kindle
Introduction The $\mathfrak{g}$-module decomposition of a $\mathrm{BC}_r$-graded Lie algebra, $r\ge 3$ (excluding type $\mathrm{D}_3)$ Models for $\mathrm{BC}_r$-graded Lie algebras, $r\ge 3$ (excluding type $\mathrm{D}_3)$ The $\mathfrak{g}$-module decomposition of a $\mathrm{BC}_r$-graded Lie algebra with grading subalgebra of type $\mathrm{B}_2$, $\mathrm{C}_2$, $\mathrm{D}_2$, or $\mathrm{D}_3$ Central extensions, derivations and invariant forms Models of $\mathrm{BC}_r$-graded Lie algebras with grading subalgebra of type $\mathrm{B}_2$, $\mathrm{C}_2$, $\mathrm{D}_2$, or $\mathrm{D}_3$ Appendix: Peirce decompositions in structurable algebras References.
Author | : Linus Kramer |
Publisher | : American Mathematical Soc. |
Total Pages | : 137 |
Release | : 2002 |
Genre | : Mathematics |
ISBN | : 0821829068 |
Download Homogeneous Spaces, Tits Buildings, and Isoparametric Hypersurfaces Book in PDF, ePub and Kindle
This title classifys 1-connected compact homogeneous spaces which have the same rational cohomology as a product of spheres $\mahtbb{S} DEGREES{n_1}\times\mathbb{S} DEGREES{n_2}$, with $3\leq n_1\leq n_2$ and $n_2$ odd. As an application, it classifys compact generalized quadrangles (buildings of type $C_2)$ which admit a point transitive automorphism group, and isoparametric hypersurfaces which admit a transitive isometry group on one f