Jiří Patera (mathematician)

This article is about the deceased Czech-born Canadian mathematician. For the Czech ice hockey goaltender, see Jiří Patera (ice hockey).

Jiří Patera (10 October 1936 – 3 January 2022) was a Czech-born Canadian mathematician and academic.^[1] He taught at the Université de Montréal and was known for his work in group theory, Lie groups, and cryptography.

Jiří Patera
Patera in 2008
Born	(1936-10-10)10 October 1936 Zdice, Czechoslovakia
Died	3 January 2022(2022-01-03) (aged 85) Montreal, Quebec, Canada
Nationality	Czech Canadian
Occupation(s)	Mathematician Professor
Spouse	Professor Tatiana Chalnikova Patera (1960)

Life and career

Patera attended secondary school in Děčín and subsequently studied theoretical physics at Moscow State University. There he met and married Tatiana Chalnikova. In 1964, he earned a doctorate from Charles University, pursued a postdoc at the University of Montreal and returned to Prague in 1966. In August of 1968, with Soviet tanks rolling into Czechoslovakia, he emigrated with Tatiana and their daughter first to the UK and finally settling in Montreal, Canada, a year later. He joined the Universite de Montreal as an assistant professor and then newly created Centre de Recherches Mathematiques at the university.

Patera began his work in group theory and Lie groups. From 1965 to 1972, he published several works on constructive theories of the representation of compact Lie groups. In 1981, he published Tables de dimensions, d'indices et de règles de branchement pour les représentations d'algèbres de Lie simples and began collaborating with Robert Moody in the field the following year.

Patera was known for his work on constructive computation prior to the use of software engineering. He wrote a book on Lie algebra representation^[2][3] and primarily worked alongside Robert Moody and Hans Zassenhaus.^[4][5]

He died in Montreal on 3 January 2022, at the age of 85 with Tatiana at his bedside.^[1]

Awards

• Canada Council Killam Fellowship (1991)^[6]
• Algebraic Methods in Physics: Symposium on the 60th Birthday of Jiří Patera and Pavel Winternitz (1997)^[7]
• CAP-CRM Prize in Theoretical and Mathematical Physics (2004)^[8]
• Doctor honoris causa of the Czech Technical University in Prague (2005)^[9]

Works

• Branching rules for representations of simple Lie algebras (1971)
• Tables of dimensions, indices, and branching rules for representations of simple Lie algebras (1981)
• Tables of dominant weight multiplicities for representations of simple Lie algebras (1985)
• simpLie Users Manual: Macintosh software for representations of simple Lie algebras (1990)
• Tables of representations of simple Lie algebras (1990)
• Affine Kac-Moody Algebras, Weight Multiplicities and Branching Rules (1991)

References

1. "In memoriam – Jiří Patera (1936–2022)" (PDF). Centre de Recherches Mathématiques (in French).
2. Patera, Jiří; Sankoff, David (1973). Branching rules for representations of simple Lie algebras. Montreal: Presses Université de Montréal. ISBN 0-8405-0228-1.
3. Patera, Jiří; McKay, W. G. (1981). Tables of dimensions, indices, and branching rules for representations of simple Lie algebras. New York: Marcel Dekker. ISBN 0-8247-1227-7.
4. Moody, R. V.; Patera, J. (1982). "Fast recursion formula for weight multiplicities". American Mathematical Society. 7 (1): 237–242. doi:10.1090/S0273-0979-1982-15021-2.
5. Patera, Jiří; Moody, Robert; Bremner, Murray (1983). Tables of dominant weight multiplicities for representations of simple Lie algebras. New York: Marcel Dekker. ISBN 0-8247-7270-9.
6. "Jiri Patera". Université de Montréal (in French).
7. Patera, Jiří; Winternitz, Pavel; Saint-Aubin, Yvan; Vinet, Luc (2001). Algebraic Methods in Physics: A Symposium for the 60th Birthday of Jiří Patera and Pavel Winternitz. Berlin: Springer Science & Business Media. ISBN 9780387951256.
8. "Médaille de l'ACP 2004". Canadian Association of Physicists (in French). 20 April 2004.
9. "Prix/Distinctions" (PDF). CMS Notes / Notes de la SMC.