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Ceccherini-Silberstein, Tullio, Scarabotti, Fabio, Tolli, Filippo. (1391). On the representation theory of the alternating groups. , 2(1), 187-198. doi: 10.22108/ijgt.2013.2841
Tullio Ceccherini-Silberstein; Fabio Scarabotti; Filippo Tolli. "On the representation theory of the alternating groups". , 2, 1, 1391, 187-198. doi: 10.22108/ijgt.2013.2841
Ceccherini-Silberstein, Tullio, Scarabotti, Fabio, Tolli, Filippo. (1391). 'On the representation theory of the alternating groups', , 2(1), pp. 187-198. doi: 10.22108/ijgt.2013.2841
Ceccherini-Silberstein, Tullio, Scarabotti, Fabio, Tolli, Filippo. On the representation theory of the alternating groups. , 1391; 2(1): 187-198. doi: 10.22108/ijgt.2013.2841

On the representation theory of the alternating groups

International Journal of Group Theory
مقاله 16، دوره 2، شماره 1، خرداد 2013، صفحه 187-198    اصل مقاله (445.78 K)
نوع مقاله: Ischia Group Theory 2012
شناسه دیجیتال (DOI): 10.22108/ijgt.2013.2841
نویسندگان
Tullio Ceccherini-Silberstein* 1؛ Fabio Scarabotti2؛ Filippo Tolli3
1Dipartimento di Ingegneria, Università del Sannio
2Dipartimento SBAI, Sapienza Universita' di Roma
3Dipartimento di Matematica e Fisica, Universita' Roma Tre
چکیده
We present the basic results on the representation theory of the alternating‎ ‎groups $A_n$‎. ‎Our approach is based on Clifford theory‎.
کلیدواژه‌ها
alternating group؛ irreducible representation؛ character؛ conjugacy class؛ Clifford Theory
مراجع
T. Ceccherini-Silberstein, F. Scarabotti and F. Tolli (2008) Harmonic analysis on finite groups: representation theory, Gelfand pairs and Markov chains Cambridge Studies in Advanced Mathematics , Cambridge University Press, Cambridge 108
T. Ceccherini-Silberstein, F. Scarabotti and F. Tolli (2009) Clifford theory and applications. Functional analysis J. Math. Sci. (N. Y.) 156 (1), 29-43
T. Ceccherini-Silberstein, F. Scarabotti and F. Tolli (2010) Representation theory of the symmetric groups: the Okounkov-Vershik approach, character formulas, and partition algebras. Cambridge Studies in Advanced Mathematics, Cambridge University Press, Cambridge 121
T. Ceccherini-Silberstein, F. Scarabotti and F. Tolli (2013) Representation Theory and Harmonic Analysis of wreath products of finite groups. 410
Ch.~W. Curtis and I. Reiner (1981) Methods of Representation Theory. With Applications to Finite Groups and Orders Pure Appl. Math., John Wiley \& Sons, New York 1
W. Fulton and J. Harris (1991) Representation theory. A first course. Graduate Texts in Mathematics Springer-Verlag, New York 129
G. D. James and A. Kerber (1981) The Representation Theory of the Symmetric Group Encyclopedia of Mathematics and its Applications, Addison-Wesley, Reading, MA 16
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