Modular invariants for group-theoretical modular data. I

Alexei Davydov

doi:10.1016/j.jalgebra.2009.11.041

Modular invariants for group-theoretical modular data. I

Alexei Davydov

Research output: Contribution to journal › Article › peer-review

34 Citations (Scopus)

Abstract

We classify indecomposable commutative separable (special Frobenius) algebras and their local modules in (untwisted) group-theoretical modular categories. This gives a description of modular invariants for group-theoretical modular data. As a bi-product we provide an answer to the question when (and in how many ways) two group-theoretical modular categories are equivalent as ribbon categories.

Original language	English
Pages (from-to)	1321-1348
Number of pages	28
Journal	Journal of Algebra
Volume	323
Issue number	5
DOIs	https://doi.org/10.1016/j.jalgebra.2009.11.041
Publication status	Published - 2010

Keywords

Modular categories
Modular invariants

Access to Document

10.1016/j.jalgebra.2009.11.041

Cite this

@article{5db11419e0db4648be5a66f4bf4125ef,

title = "Modular invariants for group-theoretical modular data. I",

abstract = "We classify indecomposable commutative separable (special Frobenius) algebras and their local modules in (untwisted) group-theoretical modular categories. This gives a description of modular invariants for group-theoretical modular data. As a bi-product we provide an answer to the question when (and in how many ways) two group-theoretical modular categories are equivalent as ribbon categories.",

keywords = "Modular categories, Modular invariants",

author = "Alexei Davydov",

year = "2010",

doi = "10.1016/j.jalgebra.2009.11.041",

language = "English",

volume = "323",

pages = "1321--1348",

journal = "Journal of Algebra",

issn = "0021-8693",

publisher = "Academic Press Inc.",

number = "5",

}

TY - JOUR

T1 - Modular invariants for group-theoretical modular data. I

AU - Davydov, Alexei

PY - 2010

Y1 - 2010

N2 - We classify indecomposable commutative separable (special Frobenius) algebras and their local modules in (untwisted) group-theoretical modular categories. This gives a description of modular invariants for group-theoretical modular data. As a bi-product we provide an answer to the question when (and in how many ways) two group-theoretical modular categories are equivalent as ribbon categories.

AB - We classify indecomposable commutative separable (special Frobenius) algebras and their local modules in (untwisted) group-theoretical modular categories. This gives a description of modular invariants for group-theoretical modular data. As a bi-product we provide an answer to the question when (and in how many ways) two group-theoretical modular categories are equivalent as ribbon categories.

KW - Modular categories

KW - Modular invariants

UR - https://www.scopus.com/pages/publications/74249121671

U2 - 10.1016/j.jalgebra.2009.11.041

DO - 10.1016/j.jalgebra.2009.11.041

M3 - Article

SN - 0021-8693

VL - 323

SP - 1321

EP - 1348

JO - Journal of Algebra

JF - Journal of Algebra

IS - 5

ER -

Modular invariants for group-theoretical modular data. I

Abstract

Keywords

Access to Document

Other files and links

Cite this