Keywords:-

Keywords: cellular algebra, signed Brauer algebras, symmetric groups, wreath product.

Article Content:-

Abstract

In this paper we prove that the wreath product with symmetric group Sn, is cellular for algebra Z2(x). We obtain simple cell modules which satisfy semi-simplicity conditions. We make use of method of iterated inflations for this purpose.

References:-

References

1. J. J. Graham, G.I.Leherer, Cellular algebras, Invent.Math. 123(1)(1996)1-34.
2. Parvathi, M., Kamaraj, M.: Signed Brauer’s Algebras. Communications In Algebra 26(3),
839-855 (1998).
3. R. Green. Cellular structure of wreath product algebras Journal of Pure and Applied Algebra
224(2020)819-835.
4. R. Green., R. Paget., Iterated inflations of cellular algebras, J. Algebra 493(2018) 341-345.
5. S.Konig, C. C. Xi., A charecteristic free approach to Brauer algebras, Transation of the
American Mathematical Society, 353(4) 1489-1505.
6. S.Konig, C. C. Xi., Cellular algebras: inflations and Morita equivalences, J. Lond. Math.
Soc. 60(2)(1980) 173-204.
7. Sharma, R.P., Parmar, R., Kapil, V.S., Irreducible −→Sn− Modules and a Cellular Structure
of The Signed Brauer Algebras. Southeast Asian Bull. Math(2011) 35: 497-522.
8. T.Geetha., F. M. Goodman.,Cellularity of wreath product algebras and A−Brauer algebras.
Journal of Algebra 389 (2013)151-190.

Downloads

Citation Tools

How to Cite
K. S., G., & Rajeshwari, M. (2023). Cellular Structure Of Wreath Product Sn,Using Signed Brauer Diagrams. International Journal Of Mathematics And Computer Research, 11(5), 3396-3409. https://doi.org/10.47191/ijmcr/v11i5.02