Collectanea Mathematica - Collectanea Mathematica's Distinguished Paper Award 2022

We are pleased to announce the 2022 Collectanea Mathematica's Distinguished Paper Award:

"Polynomial ring representations of endomorphisms of exterior powers (this opens in a new tab)"

by Delara Behzad, André Contiero, Letterio Gatto, Renato Vidal Martins

The Selection Committee has praised this paper as follows: 

The awarded paper gives an explicit description of the ring of Q-polynomials in r indeterminates as a representation of the Lie algebra of endomorphisms of the k-th exterior power of a Q-vector space with a countable infinite basis. This result bears a similarity to the representation of Date, Jimbo, Kashiwara and Miwa, which would correspond to the case k= 1 and r = infinity.

This is an interesting and elegant result that points at new and unexpected relations of the theory of exterior algebras to the fermionic and bosonic representations of a Clifford algebra.

The award consists in 3000 euros to be distributed among the authors plus a distinctive diploma.

Please join us in congratulating the winners!