Orthogonal functions related to Lax pairs in Lie algebras
Keyword(s):
Lax Pair
◽
AbstractWe study a Lax pair in a 2-parameter Lie algebra in various representations. The overlap coefficients of the eigenfunctions of L and the standard basis are given in terms of orthogonal polynomials and orthogonal functions. Eigenfunctions for the operator L for a Lax pair for $$\mathfrak {sl}(d+1,\mathbb {C})$$ sl ( d + 1 , C ) is studied in certain representations.
2007 ◽
Vol 5
◽
pp. 195-200
Keyword(s):
2018 ◽
Vol 2018
◽
pp. 1-9
2005 ◽
Vol 15
(03)
◽
pp. 793-801
◽
Keyword(s):
2004 ◽
Vol 15
(10)
◽
pp. 987-1005
◽
Keyword(s):
2006 ◽
Vol 54
(5)
◽
pp. 369-377
◽
Keyword(s):
1984 ◽
Vol 96
(1)
◽
pp. 45-60
◽
Keyword(s):
2016 ◽
Vol 2016
(716)
◽
Keyword(s):