Claudio Procesi

Claudio Procesi ( born March 31, 1941 in Rome ) is an Italian mathematician who deals with algebra.

Procesi studied at the University of Rome, of his 1963 awarded a degree ( Laurea ). In 1966 he received his doctorate from the University of Chicago in Israel Herstein (On rings with polynomial identities ). From 1966 he was an assistant at the University of Rome, in 1970 associate professor at the University of Lecce and from 1971 at the University of Pisa. From 1973 he was a full professor in Pisa and in 1975 full professor at the University La Sapienza in Rome. He has been a visiting scholar at Columbia University (1969-1970), at UCLA (1973 /74), at IMPA, the Massachusetts Institute of Technology (1991 ), in Grenoble, at Brandeis University (1981 /2), to the University of Texas at Austin (1984 ), the Institute for Advanced Study ( et al, 1994 ), at the MSRI (including 1992), at the ICTP in Trieste, at the Ecole Normale Superieure.

Procesi deals with noncommutative algebra, algebraic groups, invariant theory, Abzählender geometry, infinite dimensional algebras and quantum groups, polytopes, braid groups, cyclic homology, Geometry of orbits of compact groups, arrangements of subspaces and Tori.

Procesi proved that the polynomial invariants of nxn matrices, all can be described as consequences of the Cayley -Hamilton theorem over a field K, which states that a square matrix satisfies its own characteristic equation, where the coefficients by traces of external powers of the matrix can be expressed.

In 1981, he received the Medal of Mathematics of the Accademia dei Lincei, which he is a member since 1987. In 1986, he received the Feltrinelli Prize in Mathematics. In 1978 he was invited speaker at the International Congress of Mathematicians (ICM ) in Helsinki (Young diagrams, standard monomials and invariant theory ). 2007 to 2010 he has been Vice President of the International Mathematical Union. He was editor of the Duke Mathematical Journal, the Journal of algebra, Communications in Algebra and Advances in Mathematics. He was on the committee of the Abel Prize and the algebra Committee for the ICM in 1986 and 1994.

Writings

  • Lie groups - to approach through invariants and representations, Springer, Universitext 2006
  • Corrado de Concini with: Quantum groups, Lecture Notes in Mathematics, Springer 1993
  • Rings with polynomial identities, Dekker 1973
  • A primer on invariant theory, Brandeis University 1983 ( greatly expanded in his book on Lie groups )
  • Procesi, Hanns Peter Kraft, Classical Invariant Theory 1996 pdf
  • Corrado de Concini with: Topics in Hyperplane Arrangements, Polytopes and Box -Splines, Springer, 2010
Israel Nathan Herstein Instituto Nacional de Matemática Pura e Aplicada Cayley–Hamilton theorem Name Authority File
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