Modular Branching Rules For Projective Representations Of Symmetric Groups And Lowering Operators For The Supergroup Q N
DOWNLOAD
Download Modular Branching Rules For Projective Representations Of Symmetric Groups And Lowering Operators For The Supergroup Q N PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Modular Branching Rules For Projective Representations Of Symmetric Groups And Lowering Operators For The Supergroup Q N book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Modular Branching Rules For Projective Representations Of Symmetric Groups And Lowering Operators For The Supergroup Q N
DOWNLOAD
Author : Aleksandr Sergeevich Kleshchëv
language : en
Publisher: American Mathematical Soc.
Release Date : 2012
Modular Branching Rules For Projective Representations Of Symmetric Groups And Lowering Operators For The Supergroup Q N written by Aleksandr Sergeevich Kleshchëv 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 2012 with Mathematics categories.
There are two approaches to projective representation theory of symmetric and alternating groups, which are powerful enough to work for modular representations. One is based on Sergeev duality, which connects projective representation theory of the symmetric group and representation theory of the algebraic supergroup $Q(n)$ via appropriate Schur (super)algebras and Schur functors. The second approach follows the work of Grojnowski for classical affine and cyclotomic Hecke algebras and connects projective representation theory of symmetric groups in characteristic $p$ to the crystal graph of the basic module of the twisted affine Kac-Moody algebra of type $A_{p-1}^{(2)}$. The goal of this work is to connect the two approaches mentioned above and to obtain new branching results for projective representations of symmetric groups.
Character Identities In The Twisted Endoscopy Of Real Reductive Groups
DOWNLOAD
Author : Paul Mezo
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-02-26
Character Identities In The Twisted Endoscopy Of Real Reductive Groups written by Paul Mezo 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 2013-02-26 with Mathematics categories.
Suppose $G$ is a real reductive algebraic group, $\theta$ is an automorphism of $G$, and $\omega$ is a quasicharacter of the group of real points $G(\mathbf{R})$. Under some additional assumptions, the theory of twisted endoscopy associates to this triple real reductive groups $H$. The Local Langlands Correspondence partitions the admissible representations of $H(\mathbf{R})$ and $G(\mathbf{R})$ into $L$-packets. The author proves twisted character identities between $L$-packets of $H(\mathbf{R})$ and $G(\mathbf{R})$ comprised of essential discrete series or limits of discrete series.
Non Cooperative Equilibria Of Fermi Systems With Long Range Interactions
DOWNLOAD
Author : Jean-Bernard Bru
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-06-28
Non Cooperative Equilibria Of Fermi Systems With Long Range Interactions written by Jean-Bernard Bru 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 2013-06-28 with Mathematics categories.
The authors define a Banach space $\mathcal{M}_{1}$ of models for fermions or quantum spins in the lattice with long range interactions and make explicit the structure of (generalized) equilibrium states for any $\mathfrak{m}\in \mathcal{M}_{1}$. In particular, the authors give a first answer to an old open problem in mathematical physics--first addressed by Ginibre in 1968 within a different context--about the validity of the so-called Bogoliubov approximation on the level of states. Depending on the model $\mathfrak{m}\in \mathcal{M}_{1}$, the authors' method provides a systematic way to study all its correlation functions at equilibrium and can thus be used to analyze the physics of long range interactions. Furthermore, the authors show that the thermodynamics of long range models $\mathfrak{m}\in \mathcal{M}_{1}$ is governed by the non-cooperative equilibria of a zero-sum game, called here thermodynamic game.
Kuznetsov S Trace Formula And The Hecke Eigenvalues Of Maass Forms
DOWNLOAD
Author : Andrew Knightly
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-06-28
Kuznetsov S Trace Formula And The Hecke Eigenvalues Of Maass Forms written by Andrew Knightly 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 2013-06-28 with Mathematics categories.
The authors give an adelic treatment of the Kuznetsov trace formula as a relative trace formula on $\operatorname{GL}(2)$ over $\mathbf{Q}$. The result is a variant which incorporates a Hecke eigenvalue in addition to two Fourier coefficients on the spectral side. The authors include a proof of a Weil bound for the generalized twisted Kloosterman sums which arise on the geometric side. As an application, they show that the Hecke eigenvalues of Maass forms at a fixed prime, when weighted as in the Kuznetsov formula, become equidistributed relative to the Sato-Tate measure in the limit as the level goes to infinity.
Strange Attractors For Periodically Forced Parabolic Equations
DOWNLOAD
Author : Kening Lu
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-06-28
Strange Attractors For Periodically Forced Parabolic Equations written by Kening Lu 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 2013-06-28 with Mathematics categories.
The authors prove that in systems undergoing Hopf bifurcations, the effects of periodic forcing can be amplified by the shearing in the system to create sustained chaotic behavior. Specifically, strange attractors with SRB measures are shown to exist. The analysis is carried out for infinite dimensional systems, and the results are applicable to partial differential equations. Application of the general results to a concrete equation, namely the Brusselator, is given.
Potential Wadge Classes
DOWNLOAD
Author : Dominique Lecomte
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-01-25
Potential Wadge Classes written by Dominique Lecomte 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 2013-01-25 with Mathematics categories.
Let $\bf\Gamma$ be a Borel class, or a Wadge class of Borel sets, and $2\!\leq\! d\!\leq\!\omega$ be a cardinal. A Borel subset $B$ of ${\mathbb R}^d$ is potentially in $\bf\Gamma$ if there is a finer Polish topology on $\mathbb R$ such that $B$ is in $\bf\Gamma$ when ${\mathbb R}^d$ is equipped with the new product topology. The author provides a way to recognize the sets potentially in $\bf\Gamma$ and applies this to the classes of graphs (oriented or not), quasi-orders and partial orders.
The Kohn Sham Equation For Deformed Crystals
DOWNLOAD
Author : Weinan E
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-01-25
The Kohn Sham Equation For Deformed Crystals written by Weinan E 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 2013-01-25 with Mathematics categories.
The solution to the Kohn-Sham equation in the density functional theory of the quantum many-body problem is studied in the context of the electronic structure of smoothly deformed macroscopic crystals. An analog of the classical Cauchy-Born rule for crystal lattices is established for the electronic structure of the deformed crystal under the following physical conditions: (1) the band structure of the undeformed crystal has a gap, i.e. the crystal is an insulator, (2) the charge density waves are stable, and (3) the macroscopic dielectric tensor is positive definite. The effective equation governing the piezoelectric effect of a material is rigorously derived. Along the way, the authors also establish a number of fundamental properties of the Kohn-Sham map.
Vector Bundles On Degenerations Of Elliptic Curves And Yang Baxter Equations
DOWNLOAD
Author : Igor Burban
language : en
Publisher: American Mathematical Soc.
Release Date : 2012
Vector Bundles On Degenerations Of Elliptic Curves And Yang Baxter Equations written by Igor Burban 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 2012 with Mathematics categories.
"November 2012, volume 220, number 1035 (third of 4 numbers)."
Connes Chern Character For Manifolds With Boundary And Eta Cochains
DOWNLOAD
Author : Matthias Lesch
language : en
Publisher: American Mathematical Soc.
Release Date : 2012
Connes Chern Character For Manifolds With Boundary And Eta Cochains written by Matthias Lesch 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 2012 with Mathematics categories.
"November 2012, volume 220, number (end of volume)."
A Study Of Singularities On Rational Curves Via Syzygies
DOWNLOAD
Author : David A. Cox
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-02-26
A Study Of Singularities On Rational Curves Via Syzygies written by David A. Cox 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 2013-02-26 with Mathematics categories.
Consider a rational projective curve $\mathcal{C}$ of degree $d$ over an algebraically closed field $\pmb k$. There are $n$ homogeneous forms $g_{1},\dots, g_{n}$ of degree $d$ in $B=\pmb k[x, y]$ which parameterize $\mathcal{C}$ in a birational, base point free, manner. The authors study the singularities of $\mathcal{C}$ by studying a Hilbert-Burch matrix $\varphi$ for the row vector $[g_{1},\dots, g_{n}]$. In the ``General Lemma'' the authors use the generalized row ideals of $\varphi$ to identify the singular points on $\mathcal{C}$, their multiplicities, the number of branches at each singular point, and the multiplicity of each branch. Let $p$ be a singular point on the parameterized planar curve $\mathcal{C}$ which corresponds to a generalized zero of $\varphi$. In the `'triple Lemma'' the authors give a matrix $\varphi'$ whose maximal minors parameterize the closure, in $\mathbb{P}^{2}$, of the blow-up at $p$ of $\mathcal{C}$ in a neighborhood of $p$. The authors apply the General Lemma to $\varphi'$ in order to learn about the singularities of $\mathcal{C}$ in the first neighborhood of $p$. If $\mathcal{C}$ has even degree $d=2c$ and the multiplicity of $\mathcal{C}$ at $p$ is equal to $c$, then he applies the Triple Lemma again to learn about the singularities of $\mathcal{C}$ in the second neighborhood of $p$. Consider rational plane curves $\mathcal{C}$ of even degree $d=2c$. The authors classify curves according to the configuration of multiplicity $c$ singularities on or infinitely near $\mathcal{C}$. There are $7$ possible configurations of such singularities. They classify the Hilbert-Burch matrix which corresponds to each configuration. The study of multiplicity $c$ singularities on, or infinitely near, a fixed rational plane curve $\mathcal{C}$ of degree $2c$ is equivalent to the study of the scheme of generalized zeros of the fixed balanced Hilbert-Burch matrix $\varphi$ for a parameterization of $\mathcal{C}$.