Representation Theory of Algebraic Groups and Quantum Groups

1. Quotient Categories of Modular Representations
Henning Haahr Andersen

2. Dipper–James–Murphy’s Conjecture for Hecke Algebras of Type B

n


Susumu Ariki, Nicolas Jacon

3. On Domino Insertion and Kazhdan–Lusztig Cells in Type B

n


Cédric Bonnafé, Meinolf Geck, Lacrimioara Iancu, Thomas Lam

4. Runner Removal Morita Equivalences
Joseph Chuang, Hyohe Miyachi

5. Quantum gl/n
q-Schur Algebras and Their Infinite/Infinitesimal Counterparts
Jie Du, Qiang Fu

6. Cherednik Algebras for Algebraic Curves
Michael Finkelberg, Victor Ginzburg

7. A Temperley–Lieb Analogue for the BMW Algebra
G. I. Lehrer, R. B. Zhang

8. Graded Lie Algebras and Intersection Cohomology
G. Lusztig

9. Crystal Base Elements of an ExtremalWeight Module Fixed by a Diagram Automorphism II: Case of Affine Lie Algebras
Satoshi Naito, Daisuke Sagaki

10.
t-Analogs of q-Characters of Quantum Affine Algebras of Type E
6, E
7, E
8

Hiraku Nakajima

11. Ultra-Discretization of the
G_2^(1)-Geometric Crystals to the D_4^(3)-Perfect Crystals

Toshiki Nakashima

12. On Hecke Algebras Associated with Elliptic Root Systems
Yoshihisa Saito, Midori Shiota

13. Green’s Formula with ℂ*-Action and Caldero–Keller’s Formula for Cluster Algebras
Jie Xiao, Fan Xu

Avainsanat: Mathematics, Group Theory and Generalizations, Algebraic Geometry, Topological Groups, Lie Groups, Non-associative Rings and Algebras, Number Theory, Mathematical Methods in Physics