Decomposition Matrix for the projective Characters S_28, p=11

Author:

Jassim Ahmed HusseinORCID,Taban Saeed

Abstract

In this work, we compute the decomposition matrix to the spin characteristics of S_28  for a given field of characteristic p=11, the connections between the irreducible modular spin characters and the irreducible spin characters of S_28. The technique employed in this study is (r,r ̅ )-inducing, which creates projective characters for S_28 by using the projective characters of S_27. Maple was used to seeing all available columns and then choosing the potentially appropriate columns of them. In order to explore irreducible modular spin characteristics, general correlations and theorems will be discovered as a result of this research.

Publisher

University of Kufa

Reference14 articles.

1. A. H. Jassim, “11-Brauer trees of S_20, “ Journal of Basrah Researches(Sciences).40, pp. 76-86, 2014.

2. A. H. Jassim, “11- Modular Characters for S ̅_27, ” Journal of University of Babylon for Pure and Applied Sciences. 27, pp. 303–317,2019.

3. A. H. Jassim, and M. M. Jawad, “Decomposition matrices for the spin characters of S_26 Modulo 11, ” Basrah Journal of Science. 37, pp. 253–261, 2019.

4. A. K. Yaseen, “Modular spin representations of the symmetric groups,” Ph.D. Dissertation, Aberystwyth University, Aberystwyth, Aberystwyth, United Kingdom, 1987.

5. A. O. Morris, "The spin representation of the symmetric group, ” proc. London Math, Soc., 3(12), pp.55-76, 1962

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