On Systems of Equations Over Free Partially Commutative Groups

On Systems of Equations Over Free Partially Commutative Groups PDF Author: Montserrat Casals-Ruiz
Publisher:
ISBN: 9781470406165
Category : MATHEMATICS
Languages : en
Pages : 153

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On Systems of Equations Over Free Partially Commutative Groups

On Systems of Equations Over Free Partially Commutative Groups PDF Author: Montserrat Casals-Ruiz
Publisher:
ISBN: 9781470406165
Category : MATHEMATICS
Languages : en
Pages : 153

Get Book Here

Book Description


On Systems of Equations Over Free Partially Commutative Groups

On Systems of Equations Over Free Partially Commutative Groups PDF Author: Montserrat Casals-Ruiz
Publisher: American Mathematical Soc.
ISBN: 0821874268
Category : Mathematics
Languages : en
Pages : 168

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Book Description
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

On Systems of Equations Over Free Partially Commutative Groups PDF Author: Montserrat Casals-Ruiz
Publisher: American Mathematical Soc.
ISBN: 0821852582
Category : Mathematics
Languages : en
Pages : 168

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Book Description
"Volume 212, number 999 (end of volume)."

Description of Solutions of Systems of Equations Over Partially Commutative Groups

Description of Solutions of Systems of Equations Over Partially Commutative Groups PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Vector Bundles on Degenerations of Elliptic Curves and Yang-Baxter Equations

Vector Bundles on Degenerations of Elliptic Curves and Yang-Baxter Equations PDF Author: Igor Burban
Publisher: American Mathematical Soc.
ISBN: 0821872923
Category : Mathematics
Languages : en
Pages : 144

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Book Description
"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 $Q(n)$ PDF Author: Aleksandr Sergeevich Kleshchëv
Publisher: American Mathematical Soc.
ISBN: 0821874314
Category : Mathematics
Languages : en
Pages : 148

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Book Description
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 $O(p,q)$ PDF Author: Toshiyuki Kobayashi
Publisher: American Mathematical Soc.
ISBN: 0821847570
Category : Mathematics
Languages : en
Pages : 145

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Book Description
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 PDF Author: Abdelhamid Meziani
Publisher: American Mathematical Soc.
ISBN: 0821853120
Category : Mathematics
Languages : en
Pages : 90

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Book Description
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.

Valuations and Differential Galois Groups

Valuations and Differential Galois Groups PDF Author: Guillaume Duval
Publisher: American Mathematical Soc.
ISBN: 0821849069
Category : Mathematics
Languages : en
Pages : 82

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Book Description
In this paper, valuation theory is used to analyse infinitesimal behaviour of solutions of linear differential equations. For any Picard-Vessiot extension $(F / K, \partial)$ with differential Galois group $G$, the author looks at the valuations of $F$ which are left invariant by $G$. The main reason for this is the following: If a given invariant valuation $\nu$ measures infinitesimal behaviour of functions belonging to $F$, then two conjugate elements of $F$ will share the same infinitesimal behaviour with respect to $\nu$. This memoir is divided into seven sections.

Infinite-Dimensional Representations of 2-Groups

Infinite-Dimensional Representations of 2-Groups PDF Author: John C. Baez
Publisher: American Mathematical Soc.
ISBN: 0821872842
Category : Mathematics
Languages : en
Pages : 133

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Book Description
Just as groups can have representations on vector spaces, 2-groups have representations on 2-vector spaces, but Lie 2-groups typically have few representations on the finite-dimensional 2-vector spaces introduced by Kapranov and Voevodsky. Therefore, Crane, Sheppeard, and Yetter introduced certain infinite-dimensional 2-vector spaces, called measurable categories, to study infinite-dimensional representations of certain Lie 2-groups, and German and North American mathematicians continue that work here. After introductory matters, they cover representations of 2-groups, and measurable categories, representations on measurable categories. There is no index. Annotation ©2012 Book News, Inc., Portland, OR (booknews.com).