About Aarhus University
sl3-web bases, intermediate crystal bases and categorification
Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review
Documents
- sl3 web bases, intermediate crystal bases and categorification
Accepted manuscript, 579 KB, PDF document
- Web bases and categorification
Accepted manuscript, 526 KB, PDF document
- sl3 web bases, categorification and link invariants
Accepted manuscript, 568 KB, PDF document
Links
DOI
- Daniel Tubbenhauer, Denmark
In order to do this, we identify Kuperberg's basis for the sl3-web space W_S with a version of Leclerc-Toffin's intermediate crystal basis and we identify Brundan, Kleshchev and Wang's degree of tableaux with the weight of flows on webs and the q-degree of foams.
We use this to give a “foamy” version of Hu and Mathas graded cellular basis of the cyclotomic Hecke algebra which turns out to be a graded cellular basis of the sl3-web algebra K_S.
We restrict ourselves to the sl3 case here, but our approach should, up to the combinatorics of sln-webs, work for all n>1.
| Original language | English |
|---|---|
| Journal | Journal of Algebraic Combinatorics |
| Volume | 40 |
| Issue | 4 |
| Pages (from-to) | 1001-1076 |
| Number of pages | 76 |
| ISSN | 0925-9899 |
| DOIs | |
| Publication status | Published - 20 Feb 2014 |
- Categorification, Categorial representation theory, Combinatorial representation theory, Quantum groups, Canonical bases
Research areas
See relations at Aarhus University Citationformats
Activities
\mathfrak{sl}_n-link homologies using \dot{U}_q(\mathfrak{sl}_m)-highest weight theory: The m is not a typo!
Activity: Talk or presentation types › Lecture and oral contribution
Web bases and categorification
Activity: Talk or presentation types › Lecture and oral contribution
sl3-web bases, intermediate crystal bases and categorification
Activity: Talk or presentation types › Lecture and oral contribution
The diagrammatic beauty of Rep(U_q(\mathfrak{sl}_n)): Part I
Activity: Talk or presentation types › Lecture and oral contribution
The diagrammatic beauty of Rep(U_q(\mathfrak{sl}_n)): Part II
Activity: Talk or presentation types › Lecture and oral contribution
sl3-web bases, categorification and link invariants
Activity: Talk or presentation types › Lecture and oral contribution
Categorification - An introduction to \mathfrak{sl}_n-link homologies
Activity: Talk or presentation types › Lecture and oral contribution
\mathfrak{sl}_n-link homologies using \dot{U}_q(\mathfrak{sl}_d)-highest weight theory: The d is not a typo!
Activity: Talk or presentation types › Lecture and oral contribution
\dot{U}_q(\mathfrak{sl}_d)-highest weight theory governs \mathfrak{sl}_n-link homology: The m is not a typo!
Activity: Talk or presentation types › Lecture and oral contribution
Download statistics
ID: 71233688