Noncommutative Birational Geometry, Representations and Combinatorics

Arkady Berenstein, University of Oregon, Eugene, OR, USA. Vladimir Retakh, Rutgers University, Piscataway, NJ, USA.

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