Eric C. Rowell - INSPIRE

Classification of charge-conserving loop braid representations

#1

(Dec 21, 2024)

Published in:
- J.Algebra 666 (2025) 878-931

DOI

reference search0 citations

Recovering R-symbols from modular data

#2

(Aug 5, 2024)

e-Print:
- 2408.02748 [math.QA]

pdf

reference search2 citations

Solutions to the constant Yang–Baxter equation: additive charge conservation in threedimensions

#3

(Oct 5, 2023)

Published in:
- Proc.Roy.Soc.Lond.A 480 (2024) 2294, 20230810
•
e-Print:
- 2310.03816 [math.QA]

pdfDOI

reference search1 citation

Classification of modular data up to rank 11

#4

(Aug 18, 2023)

e-Print:
- 2308.09670 [math.QA]

pdf

reference search20 citations

Reconstruction of Modular Data from

{\text {SL}}_2({\mathbb {Z}})

Representations

#5

(Jul 7, 2023)

Published in:
- Commun.Math.Phys. 402 (2023) 3, 2465-2545

DOI

reference search9 citations

The Witt classes of so(2r)2r

#6

(Dec 2, 2022)

Published in:
- Commun.Algebra 50 (2022) 12, 5246-5265

DOI

reference search1 citation

Braids, Motions and Topological Quantum Computing

#7

Eric C. Rowell
(
- TAMU, College Station
)

(Aug 24, 2022)

e-Print:
- 2208.11762 [quant-ph]

pdf

reference search6 citations

Braid Group Representations from Twisted Tensor Products of Algebras

#8

(Sep 1, 2020)

Published in:
- Peking Math.J. 3 (2020) 2, 103-130

DOI

reference search1 citation

Generalisations of Hecke algebras from loop braid groups

#9

(Aug 11, 2020)

Published in:
- Pacific J.Math. 323 (2023) 1, 31-65,
- Pacific J.Math. 323 (2023) 31-65
•
e-Print:
- 2008.04840 [math.GT]

pdflinksDOI

reference search2 citations

Representations of the Necklace Braid Group: Topological and Combinatorial Approaches

#10

(Oct 11, 2018)

Published in:
- Commun.Math.Phys. 375 (2019) 2, 1223-1247
•
e-Print:
- 1810.05152 [math.QA]

pdfDOI

reference search8 citations

On invariants of Modular categories beyond modular data

#11

et al.

(May 15, 2018)

Published in:
- J.Pure Appl.Algebra 223 (2019) 4065-4088
•
e-Print:
- 1805.05736 [math.QA]

pdfDOI

reference search28 citations

Mathematics of topological quantum computing

#12

(Jan 16, 2018)

Published in:
- Bull.Am.Math.Soc. 55 (2018) 2, 183-238

pdflinksDOI

reference search50 citations

Fermionic Modular Categories and the 16-fold Way

#13

et al.

(Mar 30, 2016)

Published in:
- J.Math.Phys. 58 (2017) 4, 041704
•
e-Print:
- 1603.09294 [math.QA]

pdfDOI

reference search56 citations

An Invitation to the Mathematics of Topological Quantum Computation

#14

E.C. Rowell

(Jan 20, 2016)

Published in:
- J.Phys.Conf.Ser. 698 (2016) 1, 012012
•
Contribution to:
- Quantum Fest 2015
•
e-Print:
- 1601.05288 [math-ph]

DOI

reference search6 citations

Gaussian (

N, z

)-generalized Yang-Baxter operators

#15

Eric Rowell
(
- Texas A-M
)

(2016)

Published in:
- Quant.Inf.Comput. 16 (2016) 1-2, 0105-0114

DOI

reference search4 citations

Local unitary representations of the braid group and their applications to quantum computing

#16

Colleen Delaney
(
- UCLA, Los Angeles (main)
)
,
Eric C. Rowell
(
- Texas A-M
)
,
Zhenghan Wang
(
- UCLA, Los Angeles (main)
)

(2016)

Published in:
- Rev.Col.Mat. 50 (2016) 2, 211-276

DOI

reference search5 citations

Low-dimensional representations of the three component loop braid group

#17

et al.

(Jul 31, 2015)

Published in:
- J.Math.Phys. 56 (2015) 11, 111707
•
e-Print:
- 1508.00005 [math.RT]

pdfDOI

reference search5 citations

Local Representations of the Loop Braid Group

#18

(Nov 13, 2014)

Published in:
- Glasgow Math.J. 59 (2017) 2, 359-378
•
e-Print:
- 1411.3768 [math.QA]

pdfDOI

reference search13 citations

Braid Representations from Unitary Braided Vector Spaces

#19

César Galindo
(
- Andes U., Bogota
)
,
Eric C. Rowell
(
- Texas A-M
)

(Dec 19, 2013)

Published in:
- J.Math.Phys. 55 (2014) 061702
•
e-Print:
- 1312.5557 [math.QA]

pdfDOI

reference search6 citations

Rank-finiteness for modular categories

#20

(Oct 25, 2013)

Published in:
- J.Am.Math.Soc. 29 (2016) 3, 857-881
•
e-Print:
- 1310.7050 [math.QA]

pdflinksDOI

reference search43 citations

On Classification of Modular Tensor Categories

#21

(Dec 9, 2007)

Published in:
- Commun.Math.Phys. 292 (2009) 2, 343-389
•
e-Print:
- 0712.1377 [math.QA]

DOI

reference search217 citations

On exotic modular tensor categories

#22

(Oct, 2007)

Published in:
- Commun.Contemp.Math. 10 (2008) supp01, 1049-1074
•
e-Print:
- 0710.5761 [math.GT]

pdfDOI

reference search20 citations

Extraspecial two-Groups, generalized Yang-Baxter equations and braiding quantum gates

#23

Eric C. Rowell
(
- Texas A-M
)
,
Yong Zhang
(
- Utah U. and
- Peking U., CHEP
)
,
Yong-Shi Wu
(
- Utah U.
)
,
Mo-Lin Ge
(
- Nankai, CIM
)

(Jun, 2007)

Published in:
- Quant.Inf.Comput. 10 (2010) 7-8, 0685-0702
•
e-Print:
- 0706.1761 [quant-ph]

pdfDOI

reference search22 citations

From quantum groups to unitary modular tensor categories

#24

Eric C. Rowell
(
- Indiana U.
)

(Mar, 2005)

e-Print:
- math/0503226 [math.QA]

pdf

reference search7 citations

Eric C. Rowell(
Texas A-M
)

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Eric C. Rowell(Texas A-M)

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Eric C. Rowell(
Texas A-M
)