## Notes on Affine Hecke Algebras I.

(Degenerated Hecke Algebras and Yangians in Mathematical Physics)

Arun Ram

Department of Mathematics and Statistics

University of Melbourne

Parkville, VIC 3010 Australia

aram@unimelb.edu.au

Last update: 23 April 2014

## Notes and References

This is an excerpt of the paper *Notes on Affine Hecke Algebras I. (Degenerated Hecke Algebras and Yangians in Mathematical Physics)* by Ivan Cherednik.

## Abstract

We demonstrate that the quantization of momenta in different two-dimensional theories of elementary particles with factorizable scattering amplitudes gives the
so-called degenerated affine Hecke algebras and its versions. Some connections with quantum groups, with the two-dimensional conformal field theory and with
representation theory are discussed.

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