Heisenberg algebra and a graphical calculus

Mikhail Khovanov. "Heisenberg algebra and a graphical calculus." Fundamenta Mathematicae 225.0 (2014): 169-210. <http://eudml.org/doc/282925>.

@article{MikhailKhovanov2014,
abstract = {A new calculus of planar diagrams involving diagrammatics for biadjoint functors and degenerate affine Hecke algebras is introduced. The calculus leads to an additive monoidal category whose Grothendieck ring contains an integral form of the Heisenberg algebra in infinitely many variables. We construct bases of the vector spaces of morphisms between products of generating objects in this category.},
author = {Mikhail Khovanov},
journal = {Fundamenta Mathematicae},
keywords = {categorification of Heisenberg algebra; biadjoint functors; symmetric groups; induction and restriction functors; graphical calculus},
language = {eng},
number = {0},
pages = {169-210},
title = {Heisenberg algebra and a graphical calculus},
url = {http://eudml.org/doc/282925},
volume = {225},
year = {2014},
}

TY - JOUR
AU - Mikhail Khovanov
TI - Heisenberg algebra and a graphical calculus
JO - Fundamenta Mathematicae
PY - 2014
VL - 225
IS - 0
SP - 169
EP - 210
AB - A new calculus of planar diagrams involving diagrammatics for biadjoint functors and degenerate affine Hecke algebras is introduced. The calculus leads to an additive monoidal category whose Grothendieck ring contains an integral form of the Heisenberg algebra in infinitely many variables. We construct bases of the vector spaces of morphisms between products of generating objects in this category.
LA - eng
KW - categorification of Heisenberg algebra; biadjoint functors; symmetric groups; induction and restriction functors; graphical calculus
UR - http://eudml.org/doc/282925
ER -