Noncommutative birational geometry, representations and combinatorics : AMS Special Session on Noncommutative Birational Geometry, Representations and Cluster Algebras, January 6-7, 2012, Boston, MA / [electronic resource]
Arkady Berenstein, Vladimir Retakh, editors.
- 1 online resource (ix, 250 pages : illustrations)
- Contemporary mathematics, v. 592 0271-4132 (print); 1098-3627 (online); .
Includes bibliographical references.
The number of right ideals of given codimension over a finite field / Cocycle twists and extensions of braided doubles / Quantum Chevalley groups / The Reciprocal of $\sum _a^nb^n$ for non-commuting $a$ and $b$, Catalan numbers and non-commutative quadratic equations / Semi-invariants for gentle algebras / Monodromy of the trigonometric Casimir connection for $\mathfrak _2$ / Rational series in the free group and the Connes operator / On natural maps from strata of quiver Grassmannians to ordinary Grassmannians / Properties of a Minimal Non-Koszul $A(\Gamma )$ / Double Poisson brackets on free associative algebras / Generalizing the notion of rank to noncommutative quadratic forms / Roland Bacher and Christophe Reutenauer -- Yuri Bazlov and Arkady Berenstein -- Arkady Berenstein and Jacob Greenstein -- Arkady Berenstein, Vladimir Retakh, Christophe Reutenauer and Doron Zeilberger -- Andrew T. Carroll and Jerzy Weyman -- Sachin Gautam and Valerio Toledano Laredo -- Aaron Lauve and Christophe Reutenauer -- Kyungyong Lee and Li Li -- David Nacin -- Alexander Odesskii, Vladimir Rubtsov and Vladimir Sokolov -- 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 http://www.ams.org/conm/592/ http://dx.doi.org/10.1090/conm/592/11780 http://www.ams.org/conm/592/ http://dx.doi.org/10.1090/conm/592/11771 http://www.ams.org/conm/592/ http://dx.doi.org/10.1090/conm/592/11773 http://www.ams.org/conm/592/ http://dx.doi.org/10.1090/conm/592/11861 http://www.ams.org/conm/592/ http://dx.doi.org/10.1090/conm/592/11863
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2013
Mode of access : World Wide Web
9781470409715 (online)
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 theory.
QA176 / .A476 2012
516.3/5
Includes bibliographical references.
The number of right ideals of given codimension over a finite field / Cocycle twists and extensions of braided doubles / Quantum Chevalley groups / The Reciprocal of $\sum _a^nb^n$ for non-commuting $a$ and $b$, Catalan numbers and non-commutative quadratic equations / Semi-invariants for gentle algebras / Monodromy of the trigonometric Casimir connection for $\mathfrak _2$ / Rational series in the free group and the Connes operator / On natural maps from strata of quiver Grassmannians to ordinary Grassmannians / Properties of a Minimal Non-Koszul $A(\Gamma )$ / Double Poisson brackets on free associative algebras / Generalizing the notion of rank to noncommutative quadratic forms / Roland Bacher and Christophe Reutenauer -- Yuri Bazlov and Arkady Berenstein -- Arkady Berenstein and Jacob Greenstein -- Arkady Berenstein, Vladimir Retakh, Christophe Reutenauer and Doron Zeilberger -- Andrew T. Carroll and Jerzy Weyman -- Sachin Gautam and Valerio Toledano Laredo -- Aaron Lauve and Christophe Reutenauer -- Kyungyong Lee and Li Li -- David Nacin -- Alexander Odesskii, Vladimir Rubtsov and Vladimir Sokolov -- 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 http://www.ams.org/conm/592/ http://dx.doi.org/10.1090/conm/592/11780 http://www.ams.org/conm/592/ http://dx.doi.org/10.1090/conm/592/11771 http://www.ams.org/conm/592/ http://dx.doi.org/10.1090/conm/592/11773 http://www.ams.org/conm/592/ http://dx.doi.org/10.1090/conm/592/11861 http://www.ams.org/conm/592/ http://dx.doi.org/10.1090/conm/592/11863
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2013
Mode of access : World Wide Web
9781470409715 (online)
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 theory.
QA176 / .A476 2012
516.3/5