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Dr Karin Erdmann
Dr rer nat
- University Lecturer, Pure Mathematics
Personal Web Page
eMail:
Karin [dot] Erdmann [-at-] maths [dot] ox [dot] ac [dot] uk
Contact Form
Phone Number(s):
Reception/Secretary: +44 1865 273525
Direct: +44 1865 273529
Office:
SGT8
Departmental Address:
Mathematical Institute
24-29 St Giles'
Oxford
OX1 3LB
England
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Research Interests:
Representation theory. Homological algebra: Hochschild cohomology, support varieties and rank varieties for self-injective algebras. Auslander-Reiten theory. Modular Lie powers.
Major/Recent Publications:
(with S. Danz) The vertices of a class of Specht modules and simple modules for symmetric groups in characteristic 2. To appear in Algebra Colloquium.
(with R. Bryant) Block components of the Lie module for the symmetric group. Algebra and Number Theory 6(2012), 781-795.
(with S. Danz) Specht modules in the Auslander-Reiten quiver. Submitted.
(with K. J. Lim and K. M. Tan) The complexity of the Lie module. To appear in Proc. Edinburgh Math. Soc.
(with M. Johnson) Lie powers of the natural module for GL(2,K). To appear in Quart. J. Math.
On Hochschild cohomology for selfinjective special biserial algebras. Submitted.
(with K.C. Hannabuss and A.E. Parker) Dimensions of higher extensions for SL_2. Submitted
Recent Publications (from MathSciNet):
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MR2924251 Pending Białkowski, Jerzy; Erdmann, Karin; Skowroński, Andrzej Deformed mesh algebras of Dynkin type $\Bbb C_n$\Bbb C_n.
Colloq. Math. 126 (2012), no. 2, 217–230. 16G70 (16D50 16G50)
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MR2862185 Reviewed Erdmann, Karin; Kovács, L. G. Metabelian Lie powers of the natural module for a general linear
group.
J. Algebra 352 (2012), 232–267. (Reviewer: Anton Cox) 20G05 (17B01)
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MR2842059 Reviewed Białkowski, Jerzy; Erdmann, Karin; Skowroński, Andrzej Deformed preprojective algebras of generalized Dynkin type $\Bbb L_n$\Bbb L_n: classification and symmetricity.
J. Algebra 345 (2011), 150–170. (Reviewer: Héctor A. Merklen) 16G10 (16D50 16G70)
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MR2836128 Reviewed Bergh, Petter Andreas; Erdmann, Karin The representation dimension of Hecke algebras and symmetric
groups.
Adv. Math. 228 (2011), no. 4, 2503–2521. (Reviewer: Thomas Pietraho) 20C08 (16G60 20C30)
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MR2821469 Reviewed Erdmann, Karin; Tan, Kai Meng The non-projective part of the Lie module for the symmetric group.
Arch. Math. (Basel) 96 (2011), no. 6, 513–518. (Reviewer: Anton Cox) 20C30 (20G43)
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MR2802551 Reviewed Benson, David J.; Erdmann, Karin Hochschild cohomology of Hecke algebras.
J. Algebra 336 (2011), 391–394. (Reviewer: Maarten Sander Solleveld) 20C08 (16E40)
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MR2781994 Reviewed Erdmann, Karin; Schroll, Sibylle Chebyshev polynomials on symmetric matrices.
Linear Algebra Appl. 434 (2011), no. 12, 2475–2496. (Reviewer: Daniel Simson) 15A24 (05C50 15B36 16E05 16G10 33C45)
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MR2771643 Reviewed Erdmann, Karin; Solberg, Øyvind Radical cube zero selfinjective algebras of finite complexity.
J. Pure Appl. Algebra 215 (2011), no. 7, 1747–1768. (Reviewer: Juan Carlos Bustamante) 16G20 (16E40)
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MR2765552 Reviewed Bergh, Petter Andreas; Erdmann, Karin The stable Auslander-Reiten quiver of a quantum complete
intersection.
Bull. Lond. Math. Soc. 43 (2011), no. 1, 79–90. (Reviewer: Steffen Oppermann) 16G70 (16E30 16G60)
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MR2747227 Reviewed Baur, Karin; Erdmann, Karin; Parker, Alison $\Delta$\Delta-filtered modules and nilpotent orbits of a parabolic subgroup
in ${\rm O}_N${\rm O}_N.
J. Pure Appl. Algebra 215 (2011), no. 5, 885–901. (Reviewer: George J. McNinch) 16G20 (17B45 20G15)
More publications
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