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

Published Providence, Rhode Island : American Mathematical Society, [2013] ©2013

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Description 1 online resource (ix, 250 pages) : illustrations (some color) Series Contemporary mathematics ; 592 Contemporary mathematics (American Mathematical Society) ; v. 592. 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://www.ams.org/conm/592/'>http://www.ams.org/conm/592/'>http://www.ams.org/conm/592/'>http://www.ams.org/conm/592/'>http://www.ams.org/conm/592/'>http://www.ams.org/conm/592/'>http://www.ams.org/conm/592/'>http://www.ams.org/conm/592/'>http://www.ams.org/conm/592/'>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 $\sum _{n\geq 0}an̂bn̂$ 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 Bibliography Includes bibliographical references Notes English Print version record Subject Quantum groups -- Congresses Rings (Algebra) -- Congresses Free algebras -- Congresses Free algebras Quantum groups Rings (Algebra) 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 theory. Genre/Form Conference papers and proceedings Form Electronic book Author Berenstein, Arkady, editor Retakh, Vladimir, editor ISBN 9781470409715 1470409712

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