Matrix Computations of CorwinGreenleaf Multiplicity Functions for Special Unitary Group G = SU (m,n))

Authors

  • Salma Nasrin Department of Mathematics, Dhaka University, Dhaka-1000
  • Tanzila Yeasmin Nilu Department of Mathematics, Dhaka University, Dhaka-1000
  • Jannatun Fardous Department of Mathematics, Dhaka University, Dhaka-1000
  • Rubina Akter Department of Mathematics, Dhaka University, Dhaka-1000

DOI:

https://doi.org/10.3329/dujs.v63i2.24447

Keywords:

Hermitian symmetric space, CorwinGreenleaf multiplicity function, orbit method, special unitary group, coadjoint orbit, symmetric pair

Abstract

In this paper, CorwinGreenleaf multiplicity functions for special unitary group have been studied in the light of the KirillovKostant Theory. This was pioneered by the famous mathematician L. Corwin and F.Greenleaf. The multiplicity function is defined as n(?G?,OH?)=#((OG??pr-1(OG?))/H).In the case where G = SU(m,n), it has been shown that n(OG?,OH?)is at most one

Dhaka Univ. J. Sci. 63(2):125-128, 2015 (July)

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Author Biography

Salma Nasrin, Department of Mathematics, Dhaka University, Dhaka-1000



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Published

2015-08-20

How to Cite

Nasrin, S., Nilu, T. Y., Fardous, J., & Akter, R. (2015). Matrix Computations of CorwinGreenleaf Multiplicity Functions for Special Unitary Group G = SU (m,n)). Dhaka University Journal of Science, 63(2), 125–128. https://doi.org/10.3329/dujs.v63i2.24447

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