SPUR is finally over! Instead of continuing my series of blog posts, I thought I’d just link to my paper, Lattice paths and the quadratic coefficient of Kazhdan-Lusztig polynomials, and the first few blog posts should more or less provide enough background to read it. My project ended up changing direction. The formula I was [...]
Posts Tagged ‘Kazhdan-Lusztig’
Lattice paths and the quadratic coefficient of Kazhdan-Lusztig polynomials
Posted in order theory, representation theory, tagged Kazhdan-Lusztig on July 31, 2010 | 2 Comments »
Hecke algebras and the Kazhdan-Lusztig polynomials
Posted in algebraic combinatorics, representation theory, tagged Coxeter groups, duality, finite fields, Hecke algebras, Kazhdan-Lusztig, q-analogues on July 12, 2010 | 2 Comments »
The Hecke algebra attached to a Coxeter system is a deformation of the group algebra of defined as follows. Take the free -module with basis , and impose the multiplicative relations if , and otherwise. (For now, ignore the square root of .) Humphreys proves that these relations describe a unique associative algebra structure on [...]
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