# A categorification of the square root of -1

Fundamenta Mathematicae (2016)

- Volume: 232, Issue: 1, page 89-98
- ISSN: 0016-2736

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topYin 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 -

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