2013/5/9 Prof. Jose Maria P. Balmaceda專題演講
演講者：Prof. Jose Maria P. Balmaceda
單 位：Institute of Mathematics, University of the Philippines Dilima
日 期：2013年5月9日 PM 15:30
地 點：國立高雄大學理學院408室
講 題：Introduction to Leonard Pairs and their Extensions
摘 要：
Let K be an algebraically closed field of characteristic zero and V denote a finite dimensional vector space over K. A Leonard triple on V is an ordered triple of linear transformations on V such that for each of these transformations there exists a basis of V with respect to which the matrix representing that transformation is diagonal and the matrices representing the other two transformations are irreducible tridiagonal. Leonard triples are extensions of Leonard pairs, which are combinatorial and linear algebraic objects that have been studied in connection with orthogonal polynomials, association schemes, and representations of certain algebras. In this talk, we will discuss a certain family of Leonard pairs constructed from the standard basis of the Lie algebra sl2 and determine all Leonard triples arising from this pair.
演講者:
Prof. Jose Maria P. Balmaceda
講題:
Introduction to Leonard Pairs and their Extensions
演講日期:
2013-05-09
1020509-1.pdf