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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. To appear in Algebra and Number Theory.(with P. Bergh) The representation dimension of Hecke algebras and symmetric groups. To appear in Adv. Math.(with J. Bialkowsi and A. Skowronski) Deformed preprojective algebras of generalized Dynkin type L_n: classification and symmetricity. To appear in J. Algebra.
(with S. Danz) Specht modules in the Auslander-Reiten quiver. Submitted. (with M. Johnson) Lie powers of the natural module for GL(2,K). Submitted.(with L. G. Kovacs) Metabelian Lie powers of the natural module for a general linear group. Submitted.
Recent Publications (from MathSciNet):
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MR2842059 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, 16G10 (16D50 16G70)
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MR2836128 Bergh, Petter Andreas; Erdmann, Karin The representation dimension of Hecke algebras and symmetric
groups.
Adv. Math. 228 (2011), no. 4, 2503–2521, 20C08 (20C30)
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MR2821469 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, 20C30 (20G43)
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MR2802551 (2012d:20008) 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 Erdmann, Karin; Schroll, Sibylle Chebyshev polynomials on symmetric matrices.
Linear Algebra Appl. 434 (2011), no. 12, 2475–2496, 16G10 (05C50 15B36 33C45)
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MR2771643 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 (2012c:16049) 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 (2012c:16041) 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)
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MR2720683 (2011m:16013) Erdmann, Karin; Solberg, Øyvind Radical cube zero weakly symmetric algebras and support varieties.
J. Pure Appl. Algebra 215 (2011), no. 2, 185–200. (Reviewer: Petter Andreas Bergh), 16E40 (16P20)
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MR2771594 (2012b:20004) Benson, David; Erdmann, Karin; Mikaelian, Aram Cohomology of Hecke algebras.
Homology, Homotopy Appl. 12 (2010), no. 2, 353–370. (Reviewer: Maarten Sander Solleveld), 20C08 (16E40)
More publications
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