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Noncommutative birational geometry, representations and combinatorics : [electronic resource] AMS Special Session on Noncommutative Birational Geometry, Representations and Cluster Algebras, January 6-7, 2012, Boston, MA / Arkady Berenstein, Vladimir Retakh, editors.

By: AMS Special Session on Noncommutative Birational Geometry, Representations and Cluster Algebras (2012 : Boston, Mass.)Contributor(s): Berenstein, Arkady | Retakh, VladimirMaterial type: Text

TextSeries: Contemporary mathematics ; v. 592Publisher: Providence, Rhode Island : American Mathematical Society, [2013]Description: 1 online resource (ix, 250 pages : illustrations)Content type: text Media type: unmediated Carrier type: volumeISBN: 9781470409715 (online)Subject(s): Quantum groups -- Congresses | Rings (Algebra) -- Congresses | Free algebras -- Congresses | Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Quantum groups (quantized enveloping algebras) and related deformations | Associative rings and algebras -- Representation theory of rings and algebras -- None of the above, but in this section | Associative rings and algebras -- Hopf algebras, quantum groups and related topics -- Connections with combinatorics | General algebraic systems -- Varieties -- Free algebras | Combinatorics -- Algebraic combinatorics -- Combinatorial aspects of representation theoryAdditional physical formats: Noncommutative birational geometry, representations and combinatorics :DDC classification: 516.3/5 LOC classification: QA176 | .A476 2012Other classification: 17B37 | 16G99 | 16T30 | 08B20 | 05E10 Online resources: Contents | Contents

Contents:

The number of right ideals of given codimension over a finite field / Roland Bacher and Christophe Reutenauer -- http://www.ams.org/conm/592/ http://dx.doi.org/10.1090/conm/592/11865 Cocycle twists and extensions of braided doubles / Yuri Bazlov and Arkady Berenstein -- http://www.ams.org/conm/592/ http://dx.doi.org/10.1090/conm/592/11772 Quantum Chevalley groups / Arkady Berenstein and Jacob Greenstein -- http://www.ams.org/conm/592/ http://dx.doi.org/10.1090/conm/592/11776 The Reciprocal of $\sum _{n\geq 0}a^nb^n$ for non-commuting $a$ and $b$, Catalan numbers and non-commutative quadratic equations / Arkady Berenstein, Vladimir Retakh, Christophe Reutenauer and Doron Zeilberger -- http://www.ams.org/conm/592/ http://dx.doi.org/10.1090/conm/592/11860 Semi-invariants for gentle algebras / Andrew T. Carroll and Jerzy Weyman -- http://www.ams.org/conm/592/ http://dx.doi.org/10.1090/conm/592/11862 Monodromy of the trigonometric Casimir connection for $\mathfrak {sl}_2$ / Sachin Gautam and Valerio Toledano Laredo -- http://www.ams.org/conm/592/ http://dx.doi.org/10.1090/conm/592/11864 Rational series in the free group and the Connes operator / Aaron Lauve and Christophe Reutenauer -- http://www.ams.org/conm/592/ http://dx.doi.org/10.1090/conm/592/11780 On natural maps from strata of quiver Grassmannians to ordinary Grassmannians / Kyungyong Lee and Li Li -- http://www.ams.org/conm/592/ http://dx.doi.org/10.1090/conm/592/11771 Properties of a Minimal Non-Koszul $A(\Gamma )$ / David Nacin -- http://www.ams.org/conm/592/ http://dx.doi.org/10.1090/conm/592/11773 Double Poisson brackets on free associative algebras / Alexander Odesskii, Vladimir Rubtsov and Vladimir Sokolov -- http://www.ams.org/conm/592/ http://dx.doi.org/10.1090/conm/592/11861 Generalizing the notion of rank to noncommutative quadratic forms / Michaela Vancliff and Padmini P. Veerapen -- http://www.ams.org/conm/592/ http://dx.doi.org/10.1090/conm/592/11863

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Includes bibliographical references.

The number of right ideals of given codimension over a finite field / Roland Bacher and Christophe Reutenauer -- Cocycle twists and extensions of braided doubles / Yuri Bazlov and Arkady Berenstein -- Quantum Chevalley groups / Arkady Berenstein and Jacob Greenstein -- The Reciprocal of $\sum _{n\geq 0}a^nb^n$ for non-commuting $a$ and $b$, Catalan numbers and non-commutative quadratic equations / Arkady Berenstein, Vladimir Retakh, Christophe Reutenauer and Doron Zeilberger -- Semi-invariants for gentle algebras / Andrew T. Carroll and Jerzy Weyman -- Monodromy of the trigonometric Casimir connection for $\mathfrak {sl}_2$ / Sachin Gautam and Valerio Toledano Laredo -- Rational series in the free group and the Connes operator / Aaron Lauve and Christophe Reutenauer -- On natural maps from strata of quiver Grassmannians to ordinary Grassmannians / Kyungyong Lee and Li Li -- Properties of a Minimal Non-Koszul $A(\Gamma )$ / David Nacin -- Double Poisson brackets on free associative algebras / Alexander Odesskii, Vladimir Rubtsov and Vladimir Sokolov -- Generalizing the notion of rank to noncommutative quadratic forms / Michaela Vancliff and Padmini P. Veerapen --

http://www.ams.org/conm/592/

http://dx.doi.org/10.1090/conm/592/11865

http://www.ams.org/conm/592/

http://dx.doi.org/10.1090/conm/592/11772

http://www.ams.org/conm/592/

http://dx.doi.org/10.1090/conm/592/11776

http://www.ams.org/conm/592/

http://dx.doi.org/10.1090/conm/592/11860

http://www.ams.org/conm/592/

http://dx.doi.org/10.1090/conm/592/11862

http://www.ams.org/conm/592/

http://dx.doi.org/10.1090/conm/592/11864