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, Vladimir.
Material type:
BookSeries: Contemporary mathematics, v. 592.Publisher: 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 Other classification: 17B37 | 16G99 | 16T30 | 08B20 | 05E10 Online resources: Contents | Contents 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 --
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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2013
Mode of access : World Wide Web
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