Yakov Pesin, Penn State University, PA (U.S.A.) Dynamics of the Discretized FitzHugh-Nagumo Equation Tuesday, July 01 2003, at 17:00 Dipartimento di Matematica - Università degli Studi di Milano - Via Saldini 50 - Milano - Sala di Rappresentanza |
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Charles A. Stuart, Ecole Polytechnique Fédérale, Losanna (Svizzera) Mathematical aspects of the theory of guided waves in nonlinear optical fibres Thursday, June 12 2003, at 15:00 Dipartimento di Matematica - Università degli Studi di Milano - Via Saldini 50 - Milano - Sala di Rappresentanza |
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Chelluri C.A. Sastri, Dalhousie University, Halifax (Canada) Estimating Unobserved Probability and the Number of Unobserved Outcomes of an Experiment Monday, May 12 2003, at 16:00 Dipartimento di Matematica e Applicazioni - Università degli Studi di Milano Bicocca - Via Bicocca degli Arcimboldi, 8 - Aula 371 |
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Eugenio Coccia, "Università di Roma ""Tor Vergata""" Present and Future of Gravitational Wave Experiments Monday, May 05 2003, at 17:00 Dipartimento di Matematica - Università degli Studi di Milano - Via Saldini 50 - Milano - Sala di Rappresentanza |
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Gabriella Tarantello, "Università di Roma ""Tor Vergata""" Vortici autoduali nella teoria di Chern-Simons e relativi problemi ellittici Monday, April 14 2003, at 17:00 Dipartimento di Matematica - Università degli Studi di Milano - Via Saldini 50 - Milano - Sala di Rappresentanza |
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Vlastimil Dlab, Carleton University, Ottawa (Canada) Representations of Finite Dimensional Algebras Thursday, March 27 2003, at 17:00 Dipartimento di Matematica - Università degli Studi di Milano - Via Saldini 50 - Milano - Sala di Rappresentanza |
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Abstract
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The lecture will attempt to present both the historical roots, as well as some of the principal developments and applications to other fields of Mathematics of this subject within the past three decades, underlying the role of Linear Algebra. It will concentrate on explicit presentations of representations of a given algebra, employing some related concepts such as classification problems (Brauer-Thrall conjectures, finite, tame and wild types), hereditary algebras and graphs, Coxeter functors and their linear transformations, as well as more recent results on quasi-hereditary algebras in relation to semi-simple complex Lie algebras. These concepts will be illustrated on solving some classification problems of geometry (von Staud's pairs and Kronecker's pairs of matrices), modular representations of groups (A4 over GF2) and C*-algebras (Jones index).. |
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