A categorification of the square root of -1

Yin Tian. "A categorification of the square root of -1." Fundamenta Mathematicae 232.1 (2016): 89-98. <http://eudml.org/doc/282897>.

@article{YinTian2016,
abstract = {We give a graphical calculus for a monoidal DG category ℐ whose Grothendieck group is isomorphic to the ring ℤ[√(-1)]. We construct a categorical action of ℐ which lifts the action of ℤ[√(-1)] on ℤ².},
author = {Yin Tian},
journal = {Fundamenta Mathematicae},
keywords = {categorification; monoidal DG category; root of unity; quiver algebra},
language = {eng},
number = {1},
pages = {89-98},
title = {A categorification of the square root of -1},
url = {http://eudml.org/doc/282897},
volume = {232},
year = {2016},
}

TY - JOUR
AU - Yin Tian
TI - A categorification of the square root of -1
JO - Fundamenta Mathematicae
PY - 2016
VL - 232
IS - 1
SP - 89
EP - 98
AB - We give a graphical calculus for a monoidal DG category ℐ whose Grothendieck group is isomorphic to the ring ℤ[√(-1)]. We construct a categorical action of ℐ which lifts the action of ℤ[√(-1)] on ℤ².
LA - eng
KW - categorification; monoidal DG category; root of unity; quiver algebra
UR - http://eudml.org/doc/282897
ER -