Modular Branching Rules for Projective Representations of Symmetric Groups and Lowering Operators for the Supergroup $Q(n)$ - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Modular Branching Rules for Projective Representations of Symmetric Groups and Lowering Operators for the Supergroup $Q(n)$ write by Aleksandr Sergeevich Kleshchëv. This book was released on 2012. Modular Branching Rules for Projective Representations of Symmetric Groups and Lowering Operators for the Supergroup $Q(n)$ available in PDF, EPUB and Kindle. 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
Character Identities in the Twisted Endoscopy of Real Reductive Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Character Identities in the Twisted Endoscopy of Real Reductive Groups write by Paul Mezo. This book was released on 2013-02-26. Character Identities in the Twisted Endoscopy of Real Reductive Groups available in PDF, EPUB and Kindle. 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
Non-cooperative Equilibria of Fermi Systems with Long Range Interactions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Non-cooperative Equilibria of Fermi Systems with Long Range Interactions write by Jean-Bernard Bru. This book was released on 2013-06-28. Non-cooperative Equilibria of Fermi Systems with Long Range Interactions available in PDF, EPUB and Kindle. 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
Kuznetsov's Trace Formula and the Hecke Eigenvalues of Maass Forms - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Kuznetsov's Trace Formula and the Hecke Eigenvalues of Maass Forms write by Andrew Knightly. This book was released on 2013-06-28. Kuznetsov's Trace Formula and the Hecke Eigenvalues of Maass Forms available in PDF, EPUB and Kindle. 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
Strange Attractors for Periodically Forced Parabolic Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Strange Attractors for Periodically Forced Parabolic Equations write by Kening Lu. This book was released on 2013-06-28. Strange Attractors for Periodically Forced Parabolic Equations available in PDF, EPUB and Kindle. 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.
