A TOPOLOGICAL APPROACH TO REPRESENTATIONS OF THE IWAHORI-HECKE ALGEBRA

Autor:	R. J. Lawrence
Rok vydání:	1990
Předmět:	Physics Nuclear and High Energy Physics Iwahori–Hecke algebra Hecke algebra Monodromy Braid group Vector bundle Astronomy and Astrophysics Clifford bundle Topology Principal bundle Atomic and Molecular Physics and Optics Hecke operator
Zdroj:	International Journal of Modern Physics A. :3213-3219
ISSN:	1793-656X 0217-751X
Popis:	In this paper a topological construction of representations of the [Formula: see text]-series of Hecke algebras, associated with 2-row Young diagrams, will be announced. This construction gives the representations in terms of the monodromy representation obtained from a vector bundle over the configuration space of η points in the complex plane. The fibres are homology spaces of configuration spaces of points in a punctured complex plane, with a suitable twisted local coefficient system, and there is thus a natural flat connection on the vector bundle. It is also shown that there is a close correspondence between this construction and the work of Tsuchiya and Kanie, in which the monodromy of n-point functions for a conformal field theory on P1 is used to produce a braid group representation which factors through the Hecke algebra.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::13e8395a1c522318517e861be3f4efd0 https://doi.org/10.1142/s0217751x90002178 Zobrazit plný text záznamu