On Systems of Equations Over Free Partially Commutative Groups
Title | On Systems of Equations Over Free Partially Commutative Groups PDF eBook |
Author | Montserrat Casals-Ruiz |
Publisher | |
Pages | 153 |
Release | 2010 |
Genre | MATHEMATICS |
ISBN | 9781470406165 |
On Systems of Equations Over Free Partially Commutative Groups
Title | On Systems of Equations Over Free Partially Commutative Groups PDF eBook |
Author | Montserrat Casals-Ruiz |
Publisher | American Mathematical Soc. |
Pages | 168 |
Release | |
Genre | Mathematics |
ISBN | 0821874268 |
Using an analogue of Makanin-Razborov diagrams, the authors give an effective description of the solution set of systems of equations over a partially commutative group.
On Systems of Equations Over Free Partially Commutative Groups
Title | On Systems of Equations Over Free Partially Commutative Groups PDF eBook |
Author | Montserrat Casals-Ruiz |
Publisher | American Mathematical Soc. |
Pages | 168 |
Release | 2011 |
Genre | Mathematics |
ISBN | 0821852582 |
"Volume 212, number 999 (end of volume)."
Description of Solutions of Systems of Equations Over Partially Commutative Groups
Title | Description of Solutions of Systems of Equations Over Partially Commutative Groups PDF eBook |
Author | |
Publisher | |
Pages | |
Release | 2009 |
Genre | |
ISBN |
Vector Bundles on Degenerations of Elliptic Curves and Yang-Baxter Equations
Title | Vector Bundles on Degenerations of Elliptic Curves and Yang-Baxter Equations PDF eBook |
Author | Igor Burban |
Publisher | American Mathematical Soc. |
Pages | 144 |
Release | 2012 |
Genre | Mathematics |
ISBN | 0821872923 |
"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 $Q(n)$
Title | Modular Branching Rules for Projective Representations of Symmetric Groups and Lowering Operators for the Supergroup $Q(n)$ PDF eBook |
Author | Aleksandr Sergeevich Kleshchëv |
Publisher | American Mathematical Soc. |
Pages | 148 |
Release | 2012 |
Genre | Mathematics |
ISBN | 0821874314 |
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 $O(p,q)$
Title | The Schrodinger Model for the Minimal Representation of the Indefinite Orthogonal Group $O(p,q)$ PDF eBook |
Author | Toshiyuki Kobayashi |
Publisher | American Mathematical Soc. |
Pages | 145 |
Release | 2011 |
Genre | Mathematics |
ISBN | 0821847570 |
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.