Category: Algebra

  • Double affine Hecke algebra by Ivan Cherednik

    By Ivan Cherednik

    This can be a particular, primarily self-contained, monograph in a brand new box of primary significance for illustration concept, harmonic research, mathematical physics, and combinatorics. it's a significant resource of common information regarding the double affine Hecke algebra, also known as Cherednik's algebra, and its awesome functions. bankruptcy 1 is dedicated to the Knizhnik-Zamolodchikov equations hooked up to root platforms and their family to affine Hecke algebras, Kac-Moody algebras, and Fourier research. bankruptcy 2 includes a systematic exposition of the illustration conception of the one-dimensional DAHA. it's the least difficult case yet faraway from trivial with deep connections within the concept of specified features. bankruptcy three is ready DAHA in complete generality, together with functions to Macdonald polynomials, Fourier transforms, Gauss-Selberg integrals, Verlinde algebras, and Gaussian sums. This ebook is designed for mathematicians and physicists, specialists and scholars, all those that are looking to grasp the hot double Hecke algebra procedure.
    Show description

  • Semantics and Algebraic Specification: Essays Dedicated to by Jens Palsberg (auth.), Jens Palsberg (eds.)

    By Jens Palsberg (auth.), Jens Palsberg (eds.)

    This Festschrift quantity, released to honor Peter D. Mosses at the get together of his sixtieth birthday, contains 17 invited chapters via a lot of Peter's coauthors, collaborators, shut colleagues, and previous students.

    Peter D. Mosses is understood for his many contributions within the zone of formal application semantics. particularly he constructed motion semantics, a mixture of denotational, operational and algebraic semantics.

    The shows - given on a symposium in his honor in Udine, Italy, on September 10, 2009 - have been on matters relating to Peter's many technical contributions they usually have been a tribute to his lasting impression at the box. themes addressed through the papers are motion semantics, safeguard coverage layout, coloured petri nets, order-sorted parameterization and induction, object-oriented motion semantics, structural operational semantics, version modifications, the scheme programming language, sort checking, motion algebras, and denotational semantics.

    Show description