Hall Algebras and Macdonald Polynomials
This is a project sponsored by
NWO, gebied Exacte Wetenschappen (project 613.006.573),
coordinated by
Tom Koornwinder and
Eric Opdam at the
KdV Institute,
Universiteit van Amsterdam, and performed first by
Hechun Zhang (Januari-December 2002; at present Tsinghua University,
Bejing, P.R. China) and next by
Uri Onn (October 2003 - March 2004; at present
Ben Gurion University, Be'er Sheva, Israel).
Publications
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H. Zhang,
The inverse of a real generalized Cartan matrix,
arXiv:math/0212207, 2002.
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H. Zhang,
On dual canonical bases,
J. Phys. A: Math. Gen. 37 (2004), 7879-7803;
MR 2091744;
arXiv:math/0510288.
-
U. Bader and U. Onn,
On some geometric representations of GL(n,O),
Comm. Algebra 40 (2012), 3169-3191;
MR 2981129;
arXiv:math/0404408.
-
U. Bader and U. Onn,
Geometric representations of GL(n,R), cellular Hecke algebras
and the embedding problem,
J. Pure Appl. Algebra 208 (2007), 905-922;
MR 2283434;
arXiv:math/0411461.
-
U. Onn,
From p-adic to real Grassmannians via the quantum,
Adv. Math. 204 (2006),
152-175;
MR 2233130;
arXiv:math/0405138.
-
T.H. Koornwinder and U. Onn,
LU factorizations, q=0 limits, and p-adic interpretations
of some q-hypergeometric orthogonal polynomials,
Ramanujan J. 13 (2007), 365-387;
MR2281172;
arXiv:math/0405309.
Past activities
Seminar on Canonical Bases
This seminar ran from 1 February until 12 April 2002, with 6 sessions
and with lectures by Hechun Zhang and by Willem de Graaf.
Lectures by U. Onn
On the Grassmann representation of GL(n)
at KdV Institute, UvA
part I: 9 October 2003, 16.00-17.00, room P.016.
part II: 17 October 2003, 11.00-12.00, room P.015A.
to Tom Koornwinder's home page