eBook ISBN:  9781470409715 
Product Code:  CONM/592.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9781470409715 
Product Code:  CONM/592.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 

Book DetailsContemporary MathematicsVolume: 592; 2013; 250 ppMSC: Primary 17; 16; 08; 05;
This volume contains the proceedings of the AMS Special Session on Noncommutative Birational Geometry, Representations and Cluster Algebras, held from January 6–7, 2012, in Boston, MA.
The papers deal with various aspects of noncommutative birational geometry and related topics, focusing mainly on structure and representations of quantum groups and algebras, braided algebras, rational series in free groups, Poisson brackets on free algebras, and related problems in combinatorics.
This volume is useful for researchers and graduate students in mathematics and mathematical physics who want to be introduced to different areas of current research in the new area of noncommutative algebra and geometry.
ReadershipGraduate students and research mathematicians interested in noncommutative geometry and related topics, including representations and cluster algebras.

Table of Contents

Articles

Roland Bacher and Christophe Reutenauer — The number of right ideals of given codimension over a finite field

Yuri Bazlov and Arkady Berenstein — Cocycle twists and extensions of braided doubles

Arkady Berenstein and Jacob Greenstein — Quantum Chevalley groups

Arkady Berenstein, Vladimir Retakh, Christophe Reutenauer and Doron Zeilberger — The Reciprocal of $\sum _{n\geq 0}a^nb^n$ for noncommuting $a$ and $b$, Catalan numbers and noncommutative quadratic equations

Andrew T. Carroll and Jerzy Weyman — Semiinvariants for gentle algebras

Sachin Gautam and Valerio Toledano Laredo — Monodromy of the trigonometric Casimir connection for $\mathfrak {sl}_2$

Aaron Lauve and Christophe Reutenauer — Rational series in the free group and the Connes operator

Kyungyong Lee and Li Li — On natural maps from strata of quiver Grassmannians to ordinary Grassmannians

David Nacin — Properties of a Minimal NonKoszul $A(\Gamma )$

Alexander Odesskii, Vladimir Rubtsov and Vladimir Sokolov — Double Poisson brackets on free associative algebras

Michaela Vancliff and Padmini P. Veerapen — Generalizing the notion of rank to noncommutative quadratic forms


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This volume contains the proceedings of the AMS Special Session on Noncommutative Birational Geometry, Representations and Cluster Algebras, held from January 6–7, 2012, in Boston, MA.
The papers deal with various aspects of noncommutative birational geometry and related topics, focusing mainly on structure and representations of quantum groups and algebras, braided algebras, rational series in free groups, Poisson brackets on free algebras, and related problems in combinatorics.
This volume is useful for researchers and graduate students in mathematics and mathematical physics who want to be introduced to different areas of current research in the new area of noncommutative algebra and geometry.
Graduate students and research mathematicians interested in noncommutative geometry and related topics, including representations and cluster algebras.

Articles

Roland Bacher and Christophe Reutenauer — The number of right ideals of given codimension over a finite field

Yuri Bazlov and Arkady Berenstein — Cocycle twists and extensions of braided doubles

Arkady Berenstein and Jacob Greenstein — Quantum Chevalley groups

Arkady Berenstein, Vladimir Retakh, Christophe Reutenauer and Doron Zeilberger — The Reciprocal of $\sum _{n\geq 0}a^nb^n$ for noncommuting $a$ and $b$, Catalan numbers and noncommutative quadratic equations

Andrew T. Carroll and Jerzy Weyman — Semiinvariants for gentle algebras

Sachin Gautam and Valerio Toledano Laredo — Monodromy of the trigonometric Casimir connection for $\mathfrak {sl}_2$

Aaron Lauve and Christophe Reutenauer — Rational series in the free group and the Connes operator

Kyungyong Lee and Li Li — On natural maps from strata of quiver Grassmannians to ordinary Grassmannians

David Nacin — Properties of a Minimal NonKoszul $A(\Gamma )$

Alexander Odesskii, Vladimir Rubtsov and Vladimir Sokolov — Double Poisson brackets on free associative algebras

Michaela Vancliff and Padmini P. Veerapen — Generalizing the notion of rank to noncommutative quadratic forms