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bio website pages.uoregon.edu/loubert
location Eugene, Oregon
age 27
visits member for 2 years, 10 months
seen Oct 23 '13 at 2:27
Algebraist

Oct
8
awarded  Scholar
Oct
8
accepted Algorithm for reducing words in a Coxeter group
Oct
7
comment Algorithm for reducing words in a Coxeter group
What do you mean by 'greedy'? For example, how does this algorithm deal with $s_1 s_3 s_2 s_1 s_3$? When you reference Garsia, I assume that you are referring to the proof of Theorem 1.1.2. This describes a different algorithm which is probably sufficient for my purposes.
Oct
7
asked Algorithm for reducing words in a Coxeter group
Feb
20
comment When is a Hecke algebra not a bialgebra?
When $q$ is not a root of unity, the Hecke algebra $\mathcal{H}_q(d)$ is isomorphic to the group the algebra of $S_d$. This can be seen using Brundan and Kleshchev's isomorphism theorem in arxiv.org/abs/0808.2032 . Unfortunately, the Coxeter presentation does not behave nicely under this isomorphism, so the bialgebra structure is hidden. Additionally, if we use the KLR presentation of the paper above, it is not clear that any Hecke algebra has a bialgebra structure.
Feb
17
awarded  Student
Feb
17
awarded  Editor
Feb
17
revised When is a Hecke algebra not a bialgebra?
added 36 characters in body
Feb
17
asked When is a Hecke algebra not a bialgebra?
Jan
31
awarded  Autobiographer