The Khovanov-Lauda 2-Category and Categorifications of a Level Two Quantum SL(N) Representation

We construct 2-functors from a 2-category categorifying quantum sl(n) to 2-categories categorifying the irreducible representation of highest weight 2ωk.

Saved in:
Bibliographic Details
Main Authors: David Hill, Joshua Sussan
Format: Article
Language:English
Published: Wiley 2010-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2010/892387
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832555898022658048
author David Hill
Joshua Sussan
author_facet David Hill
Joshua Sussan
author_sort David Hill
collection DOAJ
description We construct 2-functors from a 2-category categorifying quantum sl(n) to 2-categories categorifying the irreducible representation of highest weight 2ωk.
format Article
id doaj-art-ffef1c4d709e4097ae6b5fa2276e0b39
institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 2010-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-ffef1c4d709e4097ae6b5fa2276e0b392025-02-03T05:46:58ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252010-01-01201010.1155/2010/892387892387The Khovanov-Lauda 2-Category and Categorifications of a Level Two Quantum SL(N) RepresentationDavid Hill0Joshua Sussan1Department of Mathematics, University of California Berkeley, Berkeley, CA 94720-3840, USADepartment of Mathematics, University of California Berkeley, Berkeley, CA 94720-3840, USAWe construct 2-functors from a 2-category categorifying quantum sl(n) to 2-categories categorifying the irreducible representation of highest weight 2ωk.http://dx.doi.org/10.1155/2010/892387
spellingShingle David Hill
Joshua Sussan
The Khovanov-Lauda 2-Category and Categorifications of a Level Two Quantum SL(N) Representation
International Journal of Mathematics and Mathematical Sciences
title The Khovanov-Lauda 2-Category and Categorifications of a Level Two Quantum SL(N) Representation
title_full The Khovanov-Lauda 2-Category and Categorifications of a Level Two Quantum SL(N) Representation
title_fullStr The Khovanov-Lauda 2-Category and Categorifications of a Level Two Quantum SL(N) Representation
title_full_unstemmed The Khovanov-Lauda 2-Category and Categorifications of a Level Two Quantum SL(N) Representation
title_short The Khovanov-Lauda 2-Category and Categorifications of a Level Two Quantum SL(N) Representation
title_sort khovanov lauda 2 category and categorifications of a level two quantum sl n representation
url http://dx.doi.org/10.1155/2010/892387
work_keys_str_mv AT davidhill thekhovanovlauda2categoryandcategorificationsofaleveltwoquantumslnrepresentation
AT joshuasussan thekhovanovlauda2categoryandcategorificationsofaleveltwoquantumslnrepresentation
AT davidhill khovanovlauda2categoryandcategorificationsofaleveltwoquantumslnrepresentation
AT joshuasussan khovanovlauda2categoryandcategorificationsofaleveltwoquantumslnrepresentation