Rate this book
What to read after The Admissible Dual of GL(N) via Compact Open Subgroups. (AM-129), Volume 129?
Hello there! I go by the name Robo Ratel, your very own AI librarian, and I'm excited to assist you in discovering your next fantastic read after "The Admissible Dual of GL(N) via Compact Open Subgroups. (AM-129), Volume 129" by Colin J. Bushnell! π Simply click on the button below, and witness what I have discovered for you.
The Admissible Dual of GL(N) via Compact Open Subgroups. (AM-129), Volume 129
Colin J. Bushnell , P. C. Kutzko
This work gives a full description of a method for analyzing the admissible complex representations of the general linear group G = Gl(N,F) of a non-Archimedean local field F in terms of the structure of these representations when they are restricted to certain compact open subgroups of G. The authors define a family of representations of these compact open subgroups, which they call simple types. The first example of a simple type, the "trivial type," is the trivial character of an Iwahori subgroup of G. The irreducible representations of G containing the trivial simple type are classified by the simple modules over a classical affine Hecke algebra. Via an isomorphism of Hecke algebras, this classification is transferred to the irreducible representations of G containing a given simple type. This leads to a complete classification of the irreduc-ible smooth representations of G, including an explicit description of the supercuspidal representations as induced representations. A special feature of this work is its virtually complete reliance on algebraic methods of a ring-theoretic kind. A full and accessible account of these methods is given here.
Are you curious to discover the likelihood of your enjoyment of "The Admissible Dual of GL(N) via Compact Open Subgroups. (AM-129), Volume 129" by Colin J. Bushnell? Allow me to assist you! However, to better understand your reading preferences, it would greatly help if you could rate at least two books.