Noncommutative Birational Geometry, Representations and Combinatorics

Arkady Berenstein, Vladimir Retakh (Herausgeber)

Buch | Softcover

250 Seiten

2013
American Mathematical Society (Verlag)
978-0-8218-8980-0 (ISBN)

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This volume contains the proceedings of the AMS Special Session on Noncommutative Birational Geometry, Representations and Cluster Algebras, held from January 6-7, 2012, in Boston, MA. The papers deal with various aspects of noncommutative birational geometry and related topics, focusing mainly on structure and representations of quantum groups and algebras, braided algebras, rational series in free groups, Poisson brackets on free algebras, and related problems in combinatorics.

This volume is useful for researchers and graduate students in mathematics and mathematical physics who want to be introduced to different areas of current research in the new area of noncommutative algebra and geometry.

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

Erscheint lt. Verlag	30.7.2013
Reihe/Serie	Contemporary Mathematics
Verlagsort	Providence
Sprache	englisch
Gewicht	300 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
	Mathematik / Informatik ► Mathematik ► Graphentheorie
ISBN-10	0-8218-8980-X / 082188980X
ISBN-13	978-0-8218-8980-0 / 9780821889800
Zustand	Neuware