Super q-Howe duality and web categories
File(s)
Accepted version
Author(s)
Tubbenhauer, D
Vaz, P
Wedrich, P
Type
Journal Article
Abstract
We use super
q
-Howe duality to provide diagrammatic presentations of an idem-
potented form of the Hecke algebra and of categories of
gl
N
-modules (and, more generally,
gl
N
|
M
-modules) whose objects are tensor generated by exterior and symmetric powers of the
vector representations. As an application, we give a representation theoretic explanation and
a diagrammatic version of a known symmetry of colored HOMFLY-PT polynomials.
q
-Howe duality to provide diagrammatic presentations of an idem-
potented form of the Hecke algebra and of categories of
gl
N
-modules (and, more generally,
gl
N
|
M
-modules) whose objects are tensor generated by exterior and symmetric powers of the
vector representations. As an application, we give a representation theoretic explanation and
a diagrammatic version of a known symmetry of colored HOMFLY-PT polynomials.
Date Issued
2017-10-04
Date Acceptance
2017-03-13
Citation
Algebraic and Geometric Topology, 2017, 17, pp.3703-3749
ISSN
1472-2747
Publisher
Mathematical Sciences Publishers (MSP)
Start Page
3703
End Page
3749
Journal / Book Title
Algebraic and Geometric Topology
Volume
17
Copyright Statement
© Copyright 2017 Mathematical Sciences Publishers. All rights reserved.
Identifier
http://arxiv.org/abs/1504.05069v2
Subjects
math.QA
math.GT
math.RT
0101 Pure Mathematics
General Mathematics
Notes
37 pages, many colored figures, extra section containing new results, comments welcome
Publication Status
Published