A new construction of Kazhdan-Lusztig's representations of the Hecke algebra

Graduate Student Combinatorics Seminar

Wednesday, December 9, 2009 - 12:30pm

Charles Buehrle

Lehigh University

Location

University of Pennsylvania

4C8

We state vanishing results for Kazhdan-Lusztig immanants belonging to the quantum polynomial ring. Applying these results we find a new construction of the Kazhdan-Lusztig representation of the Hecke algebra without employing the Kazhdan-Lusztig preorder.

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