On Systems of Equations Over Free Partially Commutative 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 On Systems of Equations Over Free Partially Commutative Groups write by Montserrat Casals-Ruiz. This book was released on 2011. On Systems of Equations Over Free Partially Commutative Groups available in PDF, EPUB and Kindle. "Volume 212, number 999 (end of volume)."
Vector Bundles on Degenerations of Elliptic Curves and Yang-Baxter Equations
Vector Bundles on Degenerations of Elliptic Curves and Yang-Baxter 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 Vector Bundles on Degenerations of Elliptic Curves and Yang-Baxter Equations write by Igor Burban. This book was released on 2012. Vector Bundles on Degenerations of Elliptic Curves and Yang-Baxter Equations available in PDF, EPUB and Kindle. "November 2012, volume 220, number 1035 (third of 4 numbers)."
Modular Branching Rules for Projective Representations of Symmetric Groups and Lowering Operators for the Supergroup $Q(n)$
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.
The Schrodinger Model for the Minimal Representation of the Indefinite Orthogonal Group $O(p,q)$
The Schrodinger Model for the Minimal Representation of the Indefinite Orthogonal Group $O(p,q)$ - 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 The Schrodinger Model for the Minimal Representation of the Indefinite Orthogonal Group $O(p,q)$ write by Toshiyuki Kobayashi. This book was released on 2011. The Schrodinger Model for the Minimal Representation of the Indefinite Orthogonal Group $O(p,q)$ available in PDF, EPUB and Kindle. The authors introduce a generalization of the Fourier transform, denoted by $\mathcal{F}_C$, on the isotropic cone $C$ associated to an indefinite quadratic form of signature $(n_1,n_2)$ on $\mathbb{R}^n$ ($n=n_1+n_2$: even). This transform is in some sense the unique and natural unitary operator on $L^2(C)$, as is the case with the Euclidean Fourier transform $\mathcal{F}_{\mathbb{R}^n}$ on $L^2(\mathbb{R}^n)$. Inspired by recent developments of algebraic representation theory of reductive groups, the authors shed new light on classical analysis on the one hand, and give the global formulas for the $L^2$-model of the minimal representation of the simple Lie group $G=O(n_1+1,n_2+1)$ on the other hand.
On First and Second Order Planar Elliptic Equations with Degeneracies
On First and Second Order Planar Elliptic Equations with Degeneracies - 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 On First and Second Order Planar Elliptic Equations with Degeneracies write by Abdelhamid Meziani. This book was released on 2012. On First and Second Order Planar Elliptic Equations with Degeneracies available in PDF, EPUB and Kindle. This paper deals with elliptic equations in the plane with degeneracies. The equations are generated by a complex vector field that is elliptic everywhere except along a simple closed curve. Kernels for these equations are constructed. Properties of solutions, in a neighborhood of the degeneracy curve, are obtained through integral and series representations. An application to a second order elliptic equation with a punctual singularity is given.
