# Department of Pure Mathematics and Mathematical Statistics

Professor of Representation Theory

Research Interests: Representation theory, reductive groups, algebraic geometry

## Publications

Affine Hecke algebras associated to Kac-Moody groups
H Garland, I Grojnowski
Instantons and affine algebras I: The Hilbert scheme and vertex operators
I Grojnowski
– Mathematical Research Letters
(1996)
3,
275
Canonical bases for the Brauer centralizer algebra
S Fishel, I Grojnowski
– Mathematical Research Letters
(1995)
2,
15
Representations of affine Hecke algebras (and affine quantum $\rm GL_n$) at roots of unity
I Grojnowski
– International Mathematics Research Notices
(1994)
1994,
215 ff.
A comparison of bases of quantized enveloping algebras
I Grojnowski, G Lusztig
(1993)
153,
11
On bases of irreducible representations of quantum $\rm GL_n$
I Grojnowski, G Lusztig
(1992)
139,
167
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