Publications and Preprints of
Eric C. Rowell
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to homepage. Clicking on the journal title will take you to the published
version of the paper, (via doi) which is optimal. The papers are ordered
by submission date, not publication date.
[21.] Generalized and quasi-localization of braid group representations with Cesar Galindo and Seung-Moon Hong
Int. Math. Res. Not. 2012
(5/11) PDF | arXiv:1105.5048
[20.] Modular categories, integrality and Egyptian fractions with Paul Bruillard
Proc. Amer. Math. Soc. 140 (2012), 1141-1150
(12/10) PDF| arXiv:1012.0814
[19.] Localization of unitary braid group representations with Zhenghan Wang.
to appear in Comm. Math. Phys.
(9/10) PDF | arXiv:1009.0241
[18.] A quaternionic braid representation (after Goldschmidt and Jones).
Quantum Topol. 2 (2011), 173–182.
[17.] Braid representations from quantum groups of exceptional Lie
type.
Rev. Un. Mat. Argentina 51 (2010) no. 1, 165-175.
(3/10) PDF| arXiv:1004.4133
[16.] On the classification of the Grothendieck semirings of non-self-dual modular categories with Seung.-Moon Hong and an appendix by Victor Ostrik.
J. Algebra 324 (2010) 1000-1015.
(7/09) PDF
| arXiv:0907.1051 | Maple 13 worksheet1 worksheet2
worksheet3
(.mws files).| Output worksheet1
worksheet2
worksheet3
(.pdf files).
[15.] A finiteness property for braided fusion categories with Deepak
Naidu.
Algebr. Represent. Theory 15 (2011) no. 5, 837-855.
(3/09) PDF | arXiv:0903.4157
[14.] Finite linear quotients of B3 of low dimension with Imre Tuba.
J. Knot
Theory Ramifications 19 (2010) no.
5 587-600.
[13.] Unitary braid representations with finite image with
Michael J. Larsen.
Algebr.
Geom. Topol. 8 (2008) no. 4, 2063-2079.
[12.] Two paradigms for topological quantum computation.
Contemp. Math. 482, pp.
165-178, AMS, Providence, RI, 2009.
Full paper (3/08) arXiv:math.QA 0803.1258
[11.] On classification of modular tensor categories with Richard Stong and
Zhenghan Wang.
Comm.
Math. Phys. 292 (2009) no. 2, 343 389.
Full paper (12/07) PDF | arXiv: math.QA 0712.1377
[10.] On exotic modular tensor categories with Seung-moon Hong
and Zhenghan Wang.
Commun.
Contemp. Math. 10 (2008), suppl. 1, 1049-1074.
Full paper (10/07): arXiv: math.GT 0710.5761
[9.] Unitarizablity of premodular categories
J. Pure
Appl. Algebra. 212 (2008), no.
8 1878-1887.
Full paper (10/07): arXiv: math.QA 0710.1621
[8.] Extraspecial Two-Groups, Generalized Yang-Baxter Equations
and Braiding Quantum Gates. with Yong Zhang, Yong-Shi Wu, and Mo-Lin Ge.
Quantum Inf. Comput. 10 (2010) no.
7 & 8 0685-0702.
Full paper (4/10) PDF:
arXiv: quant-ph/0706.1761v2
[7]. Braid representations from twisted quantum
doubles of finite groups with Pavel Etingof and Sarah Witherspoon.
Pacific J. Math.
234 no. 1 (2008) 33-42.
Full paper (3/07): arXiv: math.QA/0703274
[6]. An algebra-level version of a link-polynomial identity
of Lickorish with Michael Larsen.
Math.
Proc. Cambridge Philos. Soc. 144 (2008), no. 3, 623-638.
Full paper (5/06): arXiv: math.QA/0605455
[5]. The N-eigenvalue problem and two applications with Michael
Larsen and Zhenghan Wang.
Int. Math.
Res. Not. 2005 no. 64 (2005) 3987-4018.
Full
paper (11/05) PDF
| arXiv math.RT/0506025
[4]. Extraspecial 2-groups and images of braid group
representations with Jennifer Franko and Zhenghan Wang.
J. Knot
Theory Ramifications 15 no. 4 (2006) 413-428.
Full paper (3/05): PDF | arXiv math.RT/0503435
[3]. From quantum groups to unitary modular tensor categories
Contemp. Math. 413, 215-230, Amer. Math. Soc,. Providence, RI
2006.
Full paper (1/06): PDF | arXiv math.QA/0503226
[2]. A note on tensor categories of Lie type E9
Journal
of Algebra 284 no. 1 (2005), 296-309.
Full paper (6/7/04): PDF | arXiv:math.RT/0406122
[1]. On a family on non-unitarizable ribbon categories
Mathematische
Zeitschrift 250 no. 4 (2005), 745-774.
Full paper (3/12/04): PDF | arXiv: math.QA/0403217
Thesis and other preprints:
Generating functions for ranks of pre-modular categories.
Subsumed.
Abstract: We derive generating functions for the ranks of pre-modular
categories associated with quantum groups at roots of unity.
Full paper (8/05): arXiv math.QA/0509457
On tensor categories arising from quantum groups and BMW-algebras
at odd roots of unity.
PhD Thesis, University of California, San Diego, 2003.
Abstract: Most of the results in my thesis are published in [1].
Full paper (5/29/03): PDF
Last updated after 04/08/10