Dyadic sets S: a dichotomy for indecomposable S-matrices |
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| Institution: | 1. Math. Inst. Universität Zürich-Irchel, Winterthurerstr. 190, CH-8057 Zürich, Switzerland;2. Inst. Math. Ak. N. Ukr., ul. Tereshchenkovskaia 3, 252601 Kiev, Ukraine;1. School of Geography and Geosciences, University of St Andrews, Fife KY16 9AL, UK;2. Lamont Doherty Earth Observatory of Columbia University, Palisades, NY 10964, USA;3. School of Geography and Development & Laboratory of Tree Ring Research, University of Arizona, Tucson, AZ, USA;4. Climatic Research Unit, School of Environmental Sciences, University of East Anglia, Norwich, NR4 7TJ, UK;5. Swiss Federal Research Institute WSL, Zürcherstarsse 111, 8903 Birmensdorf, Switzerland;6. Navarino Environmental Obs., Messinia, Greece;7. Oeschger Centre for Climate Change Research, Falkenplatz 16, 3012 Bern, Switzerland;8. Global Change Research Centre AS CR, Zemedelska 1, 613 00 Brno, Czech Republic;9. William Paterson University, USA;10. Department of Geography, Johannes Gutenberg University, Becherweg 21, 55099, Mainz, Germany;11. Department of Physical Geography and Quaternary Geology, Stockholm University, SE-106 91 Stockholm, Sweden;12. School of GeoSciences, Grant Institute, University of Edinburgh, Edinburgh, UK;13. Natural Resources Institute Finland, Rovaniemi, Finland;14. Department of Earth Sciences, University of Gothenburg, SE-40530 Gothenburg, Sweden;15. Siberian Federal University, Krasnoyarsk, Russia;p. Faculty of Forestry and Wood Sciences, Czech University of Life Sciences Prague, Czech Republic;q. Department of Geology, The College of Wooster, OH, USA;r. Institute for Coastal Research, Helmholtz-Zentrum Geesthacht, Geesthacht, Germany;1. School of Geography and Development, University of Arizona, Tucson, AZ, USA;2. Laboratory of Tree-Ring Research, University of Arizona, Tucson, AZ, USA;3. Lamont-Doherty Earth Observatory of Columbia University, Palisades, NY, USA;4. School of Geography and Geosciences, University of St Andrews, UK;5. Climatic Research Unit, School of Environmental Sciences, University of East Anglia, Norwich, UK;6. Department of Geography, University of Cambridge, Cambridge, UK;7. Swiss Federal Research Institute WSL, Birmensdorf, Switzerland;8. Global Change Research Centre and Masaryk University Brno, Czechia;9. Department of Environmental Science, William Paterson University, Wayne, NJ, USA;10. Department of Geography, Gutenberg University, Mainz, Germany;11. Department of Physical Geography, Stockholm University, Stockholm, Sweden;12. School of GeoSciences, University of Edinburgh, Edinburgh, UK;13. Natural Resources Institute Finland, Rovaniemi, Finland;14. Navarino Environmental Obs., Messinia, Greece;15. Department of Earth Sciences, University of Gothenburg, Göteborg, Sweden;p. Siberian Federal University, Krasnoyarsk, Russia;q. Faculty of Forestry and Wood Sciences, Czech University of Life Sciences Prague, Czechia;r. Department of Geography, Justus Liebig University, Giessen, Germany;s. Tree Ring Lab, The College of Wooster, Wooster, OH, USA;t. Institute of Coastal Research, Helmholtz-Zentrum Geesthacht (HZG), Hamburg, Germany |
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| Abstract: | Dyadic sets S (see 3]) give rise to S-matrices, which are important in the investigation of modules over finite-dimensional algebras. If S admits only finitely many isoclasses of indecomposable S-matrices, “most” of the indecomposables can be described by means of a reduction to a well known special case. We determine the “missing” indecomposables. |
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