Seminar Bielefeld 1997/98 : Hall Algebras
Main organizers: Thomas
Brüstle, Steffen König.
Part 1 : Macdonald, Symmetric functions and Hall polynomials
- Steffen König, Introduction
- Jan Schröer, LR-Sequences
- Pham Ngoc Anh, Hall polynomials
- Dietmar Guhe, Hall-Littlewood polynomials
- Thomas Brüstle, Symmetric functions and Hall algebras
- Gerhard Röhrle, Symmetric functions and general linear
groups - a survey
- Gerhard Röhrle, The characters of GL_n(q);
the characteristic map
- Steffen König, Construction of the
characters of GL_n(q)
- Gerhard Röhrle, Examples of character tables
of GL_n(q), Hall polynomials and Green polynomials
- Thomas Brüstle, Hopf algebras and the characters of GL_n(q)
Part 2 : Ringel-Hall algebras
- Rainer Nörenberg, Hall algebras for finitary rings I
- Steffen König, Hall algebras for finitary rings II
- Pham Ngoc Anh, Loewy series and the fundamental relations in the Hall algebra
- Bangming Deng, twisted Hall algebras
- Jan Schröer, twisted Hall algebra of a
Dynkin quiver and the positive part of a quantum group
- Dietmar Guhe, examples of canonical bases, in
particular the cases A_2 and A_3
- Steffen König, survey on canonical bases
- Claus Ringel, Hall polynomials
Part 3 : Green's theorem
- Thomas Brüstle, Green's formula
- Bangming Deng, The bialgebra structure.
- Thomas Brüstle, Generic composition algebras,
Quantum Serre relations
- Steffen König, Quantized shuffles
- Steffen König,
Composition algebras and quantum groups
Part 4 : Quantum groups
- Peter Dräxler, On the coloured graph structure of
Lusztigs canonical basis (on work of Reineke)
- Peter Dräxler, On the coloured graph structure of
Lusztigs canonical basis II
- Markus Reineke, Generic extensions and Hall algebras at q=0
Last modified: 04.03.1998
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