Open AccessMatrix Computations of CorwinGreenleaf Multiplicity Functions for Special Unitary Group G = SU (m,n))
Author(s) -
Salma Nasrin,
Tanzila Yeasmin Nilu,
Jannatun Fardous,
Rubina Akter
Publication year - 2015
Publication title -
the dhaka university journal of science
Language(s) - English
Resource type - Journals
eISSN - 2408-8528
pISSN - 1022-2502
DOI - 10.3329/dujs.v63i2.24447
Subject(s) - multiplicity (mathematics) , unitary group , unitary state , special unitary group , combinatorics , mathematics , group (periodic table) , computation , unitary matrix , physics , mathematical physics , algebra over a field , pure mathematics , quantum mechanics , mathematical analysis , algorithm , law , political science
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 oneDhaka Univ. J. Sci. 63(2):125-128, 2015 (July)