3 research outputs found
Braids inside the Birman-Wenzl-Murakami algebra
We determine the Zariski closure of the representations of the braid groups
that factorize through the Birman-Wenzl-Murakami algebra, for generic values of
the parameters . For of modulus 1 and close to 1, we prove
that these representations are unitarizable, thus deducing the topological
closure of the image when in addition are algebraically independent
Representations and symbolic computation of generalized inverses over fields
This paper investigates representations of outer matrix inverses with prescribed range and/or none space in terms of inner inverses. Further, required inner inverses are computed as solutions of appropriate linear matrix equations (LME). In this way, algorithms for computing outer inverses are derived using solutions of appropriately defined LME. Using symbolic solutions to these matrix equations it is possible to derive corresponding algorithms in appropriate computer algebra systems. In addition, we give sufficient conditions to ensure the proper specialization of the presented representations. As a consequence, we derive algorithms to deal with outer inverses with prescribed range and/or none space and with meromorphic functional entries.Agencia Estatal de investigaciónUniversidad de Alcal