Peter Littelmann

Peter Littelmann, Oberwolfach 2009

Peter Littelmann is a German mathematician .

biography

Littelmann studied at the Universities of Hamburg , Basel and Brandeis University and received his doctorate in 1988 under Hanspeter Kraft at the University of Basel (contributions to the representation theory of semi-simple algebraic groups). As a post-doctoral student he was at the University of Rome La Sapienza and the University of Grenoble . He completed his habilitation at the University of Basel and was visiting professor at the University of Bern before becoming a professor at the University of Strasbourg and a member of the Institut universitaire de France . Afterwards he was professor at the University of Wuppertal and from 2005 at the University of Cologne .

He was visiting professor at the University of California, Berkeley and visiting scholar at MSRI .

Littelmann deals with algebra , representation theory and algebraic combinatorics . He developed the combinatorial methods of Littelmann way model (English: Littelmann path model ) and used it for the proof of conjecture in the theory of standard monomial (English: standard monomial theory ) of CS Seshadri and calculating multiplicities in representations of semisimple Lie groups and algebras and symmetrizable Kac-Moody algebras .

In 1994 he was a lecturer at the International Congress of Mathematicians in Zurich ( The path model for representations of symmetrizable Kac-Moody-Algebras ).

Fonts

• A Littlewood-Richardson rule for symmetrizable Kac-Moody algebras, Inventiones Mathematicae, Volume 116, 1994, pp. 329-346,
• Paths and root operators in representation theory, Annals of Mathematics, Volume 142, 1995, pp. 499-525
• Characters of Representations and Paths in , Proceedings of Symposia in Pure Mathematics, American Mathematical Society, Volume 61, 1997, pp. 29-49 ${\displaystyle h_{R}}$
• The path model, the quantum Frobenius map and standard monomial theory, in Roger W. Carter, Jan Saxl (Ed.), Algebraic groups and their representations (Cambridge, 1997), NATO Advanced Science Institutes Series C: Mathematical and Physical Sciences, 517 , Dordrecht: Kluwer, pp. 175–212
• Contracting modules and standard monomial theory for symmetrizable Kac-Moody algebras, Journal of the American Mathematical Society, Volume 11, 1998, pp. 551-567

literature

• CS Seshadri: The work of P. Littelmann and standard monomial theory , in: SD Adhikari (Ed.), Current trends in mathematics and physics, New Delhi: Narosa, 1995, pp. 178-197
• Olivier Mathieu : Le modèle des chemins, d'après P. Littelmann, Seminaire Bourbaki 798, 1995

Web links

• Homepage in Cologne
• Literature by and about Peter Littelmann in the bibliographic database WorldCat

Individual evidence

1. ↑ Peter Littelmann in the Mathematics Genealogy Project (English)