Download Auslander-Buchweitz Approximations of Equivariant Modules by Mitsuyasu Hashimoto PDF

By Mitsuyasu Hashimoto

This e-book, first released in 2000, specializes in homological points of equivariant modules. It offers a homological approximation concept within the classification of equivariant modules, unifying the Cohen-Macaulay approximations in commutative ring concept and Ringel's thought of delta-good approximations for quasi-hereditary algebras and reductive teams. The booklet presents an in depth advent to homological algebra, commutative ring concept and homological concept of comodules of co-algebras over an arbitrary base. It goals to beat the trouble of generalising recognized homological ends up in illustration concept. This booklet can be of curiosity to researchers and graduate scholars in algebra, specialising in commutative ring conception and illustration theory.

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Download Harmonic Analysis and Representation Theory for Groups by Alessandro Figá-Talamanca,Claudio Nebbia PDF

By Alessandro Figá-Talamanca,Claudio Nebbia

those notes deal with in complete element the idea of representations of the gang of automorphisms of a homogeneous tree. The unitary irreducible representations are categorised in 3 forms: a continual sequence of round representations; specified representations; and a countable sequence of cuspidal representations as outlined by means of G.I. Ol'shiankii. numerous amazing subgroups of the entire automorphism workforce also are thought of. the idea of round capabilities as eigenvalues of a Laplace (or Hecke) operator at the tree is used to introduce round representations and their regulations to discrete subgroups. this can be a good better half for all researchers into harmonic research or illustration theory.

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Download Noncommutative Harmonic Analysis: In Honor of Jacques by Patrick Delorme,Michèle Vergne PDF

By Patrick Delorme,Michèle Vergne

Dedicated to Jacques Carmona, a professional in noncommutative harmonic research, the quantity provides first-class invited/refereed articles by way of first-class mathematicians. subject matters conceal normal Lie conception, reductive Lie teams, harmonic research and the Langlands application, automorphic kinds, and Kontsevich quantization. sturdy textual content for researchers and grad scholars in illustration theory.

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Download Representation Theory and Noncommutative Harmonic Analysis by Alexandre Kirillov,V. Soucek,Yu.A. Neretin PDF

By Alexandre Kirillov,V. Soucek,Yu.A. Neretin

This two-part survey presents a brief evaluate of the classical a part of illustration conception, conscientiously exposing the constitution of the speculation with out overwhelming readers with info, and bargains with representations of Virasoro and Kac-Moody algebra. It offers a wealth of modern effects on representations of infinite-dimensional groups.

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Download Lie Algebras and Algebraic Groups (Springer Monographs in by Patrice Tauvel,Rupert W. T. Yu PDF

By Patrice Tauvel,Rupert W. T. Yu

the idea of Lie algebras and algebraic teams has been a space of energetic study for the final 50 years. It intervenes in lots of assorted components of arithmetic: for instance invariant idea, Poisson geometry, harmonic research, mathematical physics. the purpose of this booklet is to collect in one quantity the algebraic points of the speculation, as a way to current the rules of the idea in attribute 0. particular proofs are integrated and a few contemporary effects are mentioned within the ultimate chapters. the entire necessities on commutative algebra and algebraic geometry are included.

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Download Whitehead Groups of Finite Groups (London Mathematical by Robert Oliver PDF

By Robert Oliver

This book's target is to make obtainable strategies for learning Whitehead teams of finite teams, in addition to quite a few comparable themes equivalent to induction thought and p-adic logarithms. the writer has integrated a long creation to set the scene for non-specialists who wish an outline of the sector, its heritage and its functions. the remainder of the publication comprises 3 components: normal idea, workforce earrings of p-groups and normal finite teams. The e-book could be welcomed through experts in ok- and L-theory and via algebraists normally as a state-of-the paintings survey of the area.

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Download Holomorphic Functions in the Plane and n-dimensional Space by Klaus Gürlebeck,Klaus Habetha,Wolfgang Sprößig PDF

By Klaus Gürlebeck,Klaus Habetha,Wolfgang Sprößig

Complex research these days has higher-dimensional analoga: the algebra of advanced numbers is changed then via the non-commutative algebra of actual quaternions or through Clifford algebras. over the past 30 years the so-called quaternionic and Clifford or hypercomplex research effectively constructed to a robust concept with many functions in research, engineering and mathematical physics. This textbook introduces either to classical and higher-dimensional effects in keeping with a uniform thought of holomorphy. ancient feedback, plenty of examples, figures and workouts accompany each one chapter.

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Download The q-Schur Algebra (London Mathematical Society Lecture by S. Donkin PDF

By S. Donkin

This e-book makes a speciality of the illustration conception of q-Schur algebras and connections with the illustration conception of Hecke algebras and quantum common linear teams. the purpose is to give, from a unified viewpoint, quantum analogues of convinced effects identified already within the classical case. The technique is basically homological, in line with Kempf's vanishing theorem for quantum teams and the quasi-hereditary constitution of the q-Schur algebras. starting with an introductory bankruptcy facing the connection among the normal basic linear teams and their quantum analogies, the textual content is going directly to talk about the Schur Functor and the 0-Schur algebra. the subsequent bankruptcy considers Steinberg's tensor product and infinitesimal conception. Later sections of the ebook speak about tilting modules; the Ringel twin of the q-Schur algebra; Specht modules for Hecke algebras; and the worldwide measurement of the q-Schur algebras. An appendix offers a self-contained account of the speculation of quasi-hereditary algebras and their linked tilting modules. This quantity should be essentially of curiosity to researchers in algebra and comparable themes in natural mathematics.

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