bio | website | pages.uoregon.edu/loubert |
---|---|---|
location | Eugene, Oregon | |
age | 27 | |
visits | member for | 3 years |
seen | Oct 23 '13 at 2:27 | |
stats | profile views | 67 |
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 |