MODUL WEYL SEBAGAI REPRESENTASI GRUP SIMETRI DARI PEWARNAAN SUATU GRAF
Keywords:
Weyl module, representation of symmetric group, graph coloring
Abstract
This research identifies the properties of Weyl module which had some similar properties with Specht module. Specht module as an irreducible representation of permutation module for some partition
References
Biggs, N. (2004). Specht Modules and Chromatic Polynomials, Journal of Combinatorial Theory Series B, 92, 359 – 377.
Carter, R. W dan Lusztig, G. (1974). On the Modular Representations of the General Linear and Symmetric Groups, Math. Z. 136, 193 - 242.
Fouts, C. (2009). The Chromatic Polynomial, Senior Project Archive, Whitman College Department of Mathematics.
W. Fulton, W dan Harris, J. (1991). Representation Theory : A First Course, SpringerVerlag, New York.
Hubai, T. (2009). The Chromatic Polynomial, Master Thesis, Eotvos Lorand University, Faculty of Science.
Isaacs, I. M. (1993). Algebra : A Graduate Course, Brooks/Cole Publishing Company, Pacic Grove, California.
Jacob, B. (1990). Linear Algebra, W. H. Freeman and Company, New York.
James, G dan Kerber, A. (1981). Encyclopedia of Mathematics and Its Applications: The Representation Theory of the Symmetric Group, Volume 16, Addison-Wesley Publishing Company, Massachusetts.
James, G dan Liebeck, M. (2001). Representations and Characters of Groups Second Edition, Cambridge University Press, New York.
Mcnamara, R. (2013). Irreducible Representations of the Symmetric Group, Research Experience for Undergraduates 2013 Participant Paper-Apprentice Program, Universityof Chicago, United States.
Muchtadi, I. (2012). Diktat Kuliah Pengantar Teori Representasi, ITB, Bandung.
Nisfulaila, I. (2014). Representasi Grup Simetri Via Tablo Young dan Analisa Penggunaannya dalam Menentukan Polinom Kromatik Graf Gelang (Bracelet Graph), Tesis Tidak Diterbitkan, ITB, Bandung.
Reinfeld, P. A. (2003). Algebraic Methods for Chromatic Polynomials, Ph.D Thesis. The London School of Economics and political Sciences.
Rislow, M. (2011). Irreducible Representations of The Symmetric Group, Senior Seminar Proposal, University of Minnesota, Morris.
Sagan, B. E. (2001). The Symmetric Group : Representations, Combinatorial Algorithm, and Symmetric Functions, Second Edition, Springer-Verlag, New York.
Wildon, M. (2011). Notes and Problem Sheets for A Postgraduate Course on the Representation Theory of the Symmetric Group, Royal Holloway University of London, United Kingdom.
Zhao, Y. (2008). Young Tableaux and Representations of Symmetric Group, The Harvard College Mathematics Review (2), 33 - 45.
Carter, R. W dan Lusztig, G. (1974). On the Modular Representations of the General Linear and Symmetric Groups, Math. Z. 136, 193 - 242.
Fouts, C. (2009). The Chromatic Polynomial, Senior Project Archive, Whitman College Department of Mathematics.
W. Fulton, W dan Harris, J. (1991). Representation Theory : A First Course, SpringerVerlag, New York.
Hubai, T. (2009). The Chromatic Polynomial, Master Thesis, Eotvos Lorand University, Faculty of Science.
Isaacs, I. M. (1993). Algebra : A Graduate Course, Brooks/Cole Publishing Company, Pacic Grove, California.
Jacob, B. (1990). Linear Algebra, W. H. Freeman and Company, New York.
James, G dan Kerber, A. (1981). Encyclopedia of Mathematics and Its Applications: The Representation Theory of the Symmetric Group, Volume 16, Addison-Wesley Publishing Company, Massachusetts.
James, G dan Liebeck, M. (2001). Representations and Characters of Groups Second Edition, Cambridge University Press, New York.
Mcnamara, R. (2013). Irreducible Representations of the Symmetric Group, Research Experience for Undergraduates 2013 Participant Paper-Apprentice Program, Universityof Chicago, United States.
Muchtadi, I. (2012). Diktat Kuliah Pengantar Teori Representasi, ITB, Bandung.
Nisfulaila, I. (2014). Representasi Grup Simetri Via Tablo Young dan Analisa Penggunaannya dalam Menentukan Polinom Kromatik Graf Gelang (Bracelet Graph), Tesis Tidak Diterbitkan, ITB, Bandung.
Reinfeld, P. A. (2003). Algebraic Methods for Chromatic Polynomials, Ph.D Thesis. The London School of Economics and political Sciences.
Rislow, M. (2011). Irreducible Representations of The Symmetric Group, Senior Seminar Proposal, University of Minnesota, Morris.
Sagan, B. E. (2001). The Symmetric Group : Representations, Combinatorial Algorithm, and Symmetric Functions, Second Edition, Springer-Verlag, New York.
Wildon, M. (2011). Notes and Problem Sheets for A Postgraduate Course on the Representation Theory of the Symmetric Group, Royal Holloway University of London, United Kingdom.
Zhao, Y. (2008). Young Tableaux and Representations of Symmetric Group, The Harvard College Mathematics Review (2), 33 - 45.
Published
2022-04-29
Section
Articles
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