Overgroups Of Root Groups In Classical Groups
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Overgroups Of Root Groups In Classical Groups
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Author : Michael Aschbacher
language : en
Publisher:
Release Date : 2016
Overgroups Of Root Groups In Classical Groups written by Michael Aschbacher and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Algebra categories.
Overgroups Of Root Groups In Classical Groups
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Author : Michael Aschbacher
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-04-26
Overgroups Of Root Groups In Classical Groups written by Michael Aschbacher and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-26 with Algebra categories.
The author extends results of McLaughlin and Kantor on overgroups of long root subgroups and long root elements in finite classical groups. In particular he determines the maximal subgroups of this form. He also determines the maximal overgroups of short root subgroups in finite classical groups and the maximal overgroups in finite orthogonal groups of c-root subgroups.
The Maximal Subgroups Of Classical Algebraic Groups
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Author : Gary M. Seitz
language : en
Publisher: American Mathematical Soc.
Release Date : 1987
The Maximal Subgroups Of Classical Algebraic Groups written by Gary M. Seitz and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Linear algebraic groups categories.
Let [italic]V be a finite dimensional vector space over an algebraically closed field of characteristic p [greater than] 0 and let G = SL([italic]V), Sp([italic]V), or SO([italic]V). The main result describes all closed, connected, overgroups of [italic]X in SL([italic]V), assuming [italic]X is a closed, connected, irreducible subgroup of G.
Descent Construction For Gspin Groups
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Author : Joseph Hundley
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-09-06
Descent Construction For Gspin Groups written by Joseph Hundley and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-06 with Descent categories.
In this paper the authors provide an extension of the theory of descent of Ginzburg-Rallis-Soudry to the context of essentially self-dual representations, that is, representations which are isomorphic to the twist of their own contragredient by some Hecke character. The authors' theory supplements the recent work of Asgari-Shahidi on the functorial lift from (split and quasisplit forms of) GSpin2n to GL2n.
Hyperbolically Embedded Subgroups And Rotating Families In Groups Acting On Hyperbolic Spaces
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Author : F. Dahmani
language : en
Publisher: American Mathematical Soc.
Release Date : 2017-01-18
Hyperbolically Embedded Subgroups And Rotating Families In Groups Acting On Hyperbolic Spaces written by F. Dahmani and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-18 with Hyperbolic groups categories.
he authors introduce and study the notions of hyperbolically embedded and very rotating families of subgroups. The former notion can be thought of as a generalization of the peripheral structure of a relatively hyperbolic group, while the latter one provides a natural framework for developing a geometric version of small cancellation theory. Examples of such families naturally occur in groups acting on hyperbolic spaces including hyperbolic and relatively hyperbolic groups, mapping class groups, , and the Cremona group. Other examples can be found among groups acting geometrically on spaces, fundamental groups of graphs of groups, etc. The authors obtain a number of general results about rotating families and hyperbolically embedded subgroups; although their technique applies to a wide class of groups, it is capable of producing new results even for well-studied particular classes. For instance, the authors solve two open problems about mapping class groups, and obtain some results which are new even for relatively hyperbolic groups.
Locally Analytic Vectors In Representations Of Locally Adic Analytic Groups
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Author : Matthew J. Emerton
language : en
Publisher: American Mathematical Soc.
Release Date : 2017-07-13
Locally Analytic Vectors In Representations Of Locally Adic Analytic Groups written by Matthew J. Emerton and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-13 with Geometry, Analytic categories.
The goal of this memoir is to provide the foundations for the locally analytic representation theory that is required in three of the author's other papers on this topic. In the course of writing those papers the author found it useful to adopt a particular point of view on locally analytic representation theory: namely, regarding a locally analytic representation as being the inductive limit of its subspaces of analytic vectors (of various “radii of analyticity”). The author uses the analysis of these subspaces as one of the basic tools in his study of such representations. Thus in this memoir he presents a development of locally analytic representation theory built around this point of view. The author has made a deliberate effort to keep the exposition reasonably self-contained and hopes that this will be of some benefit to the reader.
Monoidal Categories And The Gerstenhaber Bracket In Hochschild Cohomology
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Author : Reiner Hermann:
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-09-06
Monoidal Categories And The Gerstenhaber Bracket In Hochschild Cohomology written by Reiner Hermann: and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-06 with Associative rings categories.
In this monograph, the author extends S. Schwede's exact sequence interpretation of the Gerstenhaber bracket in Hochschild cohomology to certain exact and monoidal categories. Therefore the author establishes an explicit description of an isomorphism by A. Neeman and V. Retakh, which links Ext-groups with fundamental groups of categories of extensions and relies on expressing the fundamental group of a (small) category by means of the associated Quillen groupoid. As a main result, the author shows that his construction behaves well with respect to structure preserving functors between exact monoidal categories. The author uses his main result to conclude, that the graded Lie bracket in Hochschild cohomology is an invariant under Morita equivalence. For quasi-triangular bialgebras, he further determines a significant part of the Lie bracket's kernel, and thereby proves a conjecture by L. Menichi. Along the way, the author introduces n-extension closed and entirely extension closed subcategories of abelian categories, and studies some of their properties.
Layer Potentials And Boundary Value Problems For Second Order Elliptic Operators With Data In Besov Spaces
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Author : Ariel Barton:
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-09-06
Layer Potentials And Boundary Value Problems For Second Order Elliptic Operators With Data In Besov Spaces written by Ariel Barton: and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-06 with Besov space categories.
This monograph presents a comprehensive treatment of second order divergence form elliptic operators with bounded measurable t-independent coefficients in spaces of fractional smoothness, in Besov and weighted Lp classes. The authors establish: (1) Mapping properties for the double and single layer potentials, as well as the Newton potential; (2) Extrapolation-type solvability results: the fact that solvability of the Dirichlet or Neumann boundary value problem at any given Lp space automatically assures their solvability in an extended range of Besov spaces; (3) Well-posedness for the non-homogeneous boundary value problems. In particular, the authors prove well-posedness of the non-homogeneous Dirichlet problem with data in Besov spaces for operators with real, not necessarily symmetric, coefficients.
Real Non Abelian Mixed Hodge Structures For Quasi Projective Varieties Formality And Splitting
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Author : J. P. Pridham
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-09-06
Real Non Abelian Mixed Hodge Structures For Quasi Projective Varieties Formality And Splitting written by J. P. Pridham and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-06 with Hodge theory categories.
The author defines and constructs mixed Hodge structures on real schematic homotopy types of complex quasi-projective varieties, giving mixed Hodge structures on their homotopy groups and pro-algebraic fundamental groups. The author also shows that these split on tensoring with the ring R[x] equipped with the Hodge filtration given by powers of (x−i), giving new results even for simply connected varieties. The mixed Hodge structures can thus be recovered from the Gysin spectral sequence of cohomology groups of local systems, together with the monodromy action at the Archimedean place. As the basepoint varies, these structures all become real variations of mixed Hodge structure.
Carleman Estimates Observability Inequalities And Null Controllability For Interior Degenerate Nonsmooth Parabolic Equations
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Author : Genni Fragnelli
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-06-21
Carleman Estimates Observability Inequalities And Null Controllability For Interior Degenerate Nonsmooth Parabolic Equations written by Genni Fragnelli and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-21 with Carleman theorem categories.
The authors consider a parabolic problem with degeneracy in the interior of the spatial domain, and they focus on observability results through Carleman estimates for the associated adjoint problem. The novelties of the present paper are two. First, the coefficient of the leading operator only belongs to a Sobolev space. Second, the degeneracy point is allowed to lie even in the interior of the control region, so that no previous result can be adapted to this situation; however, different cases can be handled, and new controllability results are established as a consequence.