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Noncommutative birational geometry, representations and combinatorics : AMS Special Session on Noncommutative Birational Geometry, Representations and Cluster Algebras, January 6-7, 2012, Boston, MA

Author: Arkady Berenstein; Vladimir Retakh
Publisher: Providence, Rhode Island : American Mathematical Society, [2013]
Series: Contemporary mathematics (American Mathematical Society), v. 592.
Edition/Format:   Print book : Conference publication : EnglishView all editions and formats
Summary:
"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  Read more...
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Genre/Form: Conference papers and proceedings
Congresses
Material Type: Conference publication
Document Type: Book
All Authors / Contributors: Arkady Berenstein; Vladimir Retakh
ISBN: 9780821889800 082188980X
OCLC Number: 841187523
Description: ix, 250 pages : illustrations ; 26 cm.
Contents: Table of Contents:The number of right ideals of given codimension over a finite field by R. Bacher and C. Reutenauer Cocycle twists and extensions of braided doubles by Y. Bazlov and A. Berenstein Quantum Chevalley groups by A. Berenstein and J. Greenstein The reciprocal of $\Sigma_{n\geq 0}a^nb^n$ for non-commuting $a$ and $b_1$, Catalan numbers and non-commutative quadratic equations by A. Berenstein, V. Retakh, C. Reutenauer, and D. Zeilberger Semi-invariants for gentle algebras by A. Carroll and J. Weyman Monodromy of the trigonometric Casimir connection for $\mathfrak{sl}_2$ by S. Gautam and V. T. Laredo Rational series in the free group and the Connes operator by A. Lauve and C. Reutenauer On natural maps from strata of quiver Grassmannians to ordinary Grassmannians by K. Lee and L. Li Properties of a minimal non-Koszul $A(\Gamma)$ by D. Nacin Double Poisson brackets on free associative algebras by A. Odesskii, V. Rubtsov, and V. Sokolov Generalizing the notion of rank to noncommutative quadratic forms by M. Vancliff and P. P. Veerapen
Series Title: Contemporary mathematics (American Mathematical Society), v. 592.
Responsibility: Arkady Berenstein, Vladimir Retakh, editors.

Abstract:

"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."--Publisher's website.

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