Jiří Patera

Jiří Patera (born October 1936 ) is a Czechoslovak-Canadian mathematical physicist and mathematician. He is Professor (Professeur titulaire) at the University of Montreal (Center des recherches mathématiques, CRM).

Patera received her doctorate from Charles University in Prague in 1964 and came to Montreal in 1965.

He dealt with group theory , especially Lie groups , with applications in physics. Later he also dealt with applications in cryptography , image processing and random number generators and especially, partly in cooperation with Robert Moody , with quasicrystals .

Patera is known for his work on constructive calculation, right up to the concrete software implementation , of representations of Lie groups, about which he also wrote a book with tables of the branching rules that occur when splitting representations of a Lie group when considering the representations of its subgroups, published. These tables have applications in the study of GUTs in elementary particle physics . In GUTs, a superordinate, unifying group is broken down into its subgroups in the event of symmetry breaks and the representations of the group to which the elementary particles correspond are also broken down accordingly.

He also worked with Hans Zassenhaus and Robert Moody.

In 2004 he received the CAP / CRM Award in Theoretical Physics from the Canadian Association of Physicists (CAP).

literature

Yvan Saint-Aubin, Luc Vinet (Editor) Algebraic methods in physics: a Symposium for the 60th Birthday of Jiří Patera and Pavel Winternitz , Springer 2001 (Montreal Conference 1997)

Web links

Individual evidence

↑ Information in the symposium on the 60th birthday of him and Jiri Patera in 1997
↑ J.Patera, D. Sankoff, Branching rules for representations of Lie algebras, Montreal, 1973. Expanded WGMcKay, J.Patera Tables of dimensions, indices and branching rules for representations of simple Lie algebras , Marcel Dekker 1981
↑ for example Moody, Patera Fast recursion formula for weight multiplicities , Bulletin AMS, 7, 1982, 237-242, Online , and the tables Moody, Bremner, Jiri Patera: Tables of weight space multiplicities , Marcel Dekker 1983

personal data
SURNAME	Patera, Jiří
BRIEF DESCRIPTION	Canadian mathematical physicist and mathematician
DATE OF BIRTH	October 1936

[1] Information in the symposium on the 60th birthday of him and Jiri Patera in 1997

[2] J.Patera, D. Sankoff, Branching rules for representations of Lie algebras, Montreal, 1973. Expanded WGMcKay, J.Patera Tables of dimensions, indices and branching rules for representations of simple Lie algebras , Marcel Dekker 1981

[3] r example Moody, Patera Fast recursion formula for weight multiplicities , Bulletin AMS, 7, 1982, 237-242, Online , and the tables Moody, Bremner, Jiri Patera: Tables of weight space multiplicities , Marcel Dekker 1983