A Double Hall Algebra Approach To Affine Quantum Schur Weyl Theory
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A Double Hall Algebra Approach To Affine Quantum Schur Weyl Theory
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Author : Bangming Deng
language : en
Publisher: Cambridge University Press
Release Date : 2012-12-06
A Double Hall Algebra Approach To Affine Quantum Schur Weyl Theory written by Bangming Deng and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The first book of its kind to present an algebraic approach to affine q-Schur algebras and affine quantum Schur-Weyl theory.
A Double Hall Algebra Approach To Affine Quantum Schur Weyl Theory
DOWNLOAD
Author : Bangming Deng
language : en
Publisher: Cambridge University Press
Release Date : 2012-12-06
A Double Hall Algebra Approach To Affine Quantum Schur Weyl Theory written by Bangming Deng and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The theory of Schur–Weyl duality has had a profound influence over many areas of algebra and combinatorics. This text is original in two respects: it discusses affine q-Schur algebras and presents an algebraic, as opposed to geometric, approach to affine quantum Schur–Weyl theory. To begin, various algebraic structures are discussed, including double Ringel–Hall algebras of cyclic quivers and their quantum loop algebra interpretation. The rest of the book investigates the affine quantum Schur–Weyl duality on three levels. This includes the affine quantum Schur–Weyl reciprocity, the bridging role of affine q-Schur algebras between representations of the quantum loop algebras and those of the corresponding affine Hecke algebras, presentation of affine quantum Schur algebras and the realisation conjecture for the double Ringel–Hall algebra with a proof of the classical case. This text is ideal for researchers in algebra and graduate students who want to master Ringel–Hall algebras and Schur–Weyl duality.
Graded Rings And Graded Grothendieck Groups
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Author : Roozbeh Hazrat
language : en
Publisher: Cambridge University Press
Release Date : 2016-05-26
Graded Rings And Graded Grothendieck Groups written by Roozbeh Hazrat and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-26 with Mathematics categories.
This study of graded rings includes the first systematic account of the graded Grothendieck group, a powerful and crucial invariant in algebra which has recently been adopted to classify the Leavitt path algebras. The book begins with a concise introduction to the theory of graded rings and then focuses in more detail on Grothendieck groups, Morita theory, Picard groups and K-theory. The author extends known results in the ungraded case to the graded setting and gathers together important results which are currently scattered throughout the literature. The book is suitable for advanced undergraduate and graduate students, as well as researchers in ring theory.
Surveys In Combinatorics 2022
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Author : Anthony Nixon
language : en
Publisher: Cambridge University Press
Release Date : 2022-06-09
Surveys In Combinatorics 2022 written by Anthony Nixon and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-09 with Mathematics categories.
This volume contains surveys of current research directions in combinatorics written by leading researchers in their fields.
Regular And Irregular Holonomic D Modules
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Author : Masaki Kashiwara
language : en
Publisher: Cambridge University Press
Release Date : 2016-05-26
Regular And Irregular Holonomic D Modules written by Masaki Kashiwara and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-26 with Mathematics categories.
A unified treatment of the Riemann-Hilbert correspondence for (not necessarily regular) holonomic D-modules using indsheaves.
O Minimality And Diophantine Geometry
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Author : G. O. Jones
language : en
Publisher: Cambridge University Press
Release Date : 2015-08-13
O Minimality And Diophantine Geometry written by G. O. Jones and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-13 with Mathematics categories.
This book brings the researcher up to date with recent applications of mathematical logic to number theory.
Sheaves And Functions Modulo P
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Author : Lenny Taelman
language : en
Publisher: Cambridge University Press
Release Date : 2016
Sheaves And Functions Modulo P written by Lenny Taelman and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Mathematics categories.
Describes how to use coherent sheaves and cohomology to prove combinatorial and number theoretical identities over finite fields.
Topological Methods In Group Theory
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Author : N. Broaddus
language : en
Publisher: Cambridge University Press
Release Date : 2018-09-06
Topological Methods In Group Theory written by N. Broaddus and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-06 with Mathematics categories.
Details some of the most recent developments at the interface of topology and geometric group theory. Ideal for graduate students.
Partial Differential Equations Arising From Physics And Geometry
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Author : Mohamed Ben Ayed
language : en
Publisher: Cambridge University Press
Release Date : 2019-05-02
Partial Differential Equations Arising From Physics And Geometry written by Mohamed Ben Ayed and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-02 with Mathematics categories.
Presents the state of the art in PDEs, including the latest research and short courses accessible to graduate students.
Operator Methods For Boundary Value Problems
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Author : Seppo Hassi
language : en
Publisher: Cambridge University Press
Release Date : 2012-10-11
Operator Methods For Boundary Value Problems written by Seppo Hassi and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-11 with Mathematics categories.
Presented in this volume are a number of new results concerning the extension theory and spectral theory of unbounded operators using the recent notions of boundary triplets and boundary relations. This approach relies on linear single-valued and multi-valued maps, isometric in a Krein space sense, and offers a basic framework for recent developments in system theory. Central to the theory are analytic tools such as Weyl functions, including Titchmarsh-Weyl m-functions and Dirichlet-to-Neumann maps. A wide range of topics is considered in this context from the abstract to the applied, including boundary value problems for ordinary and partial differential equations; infinite-dimensional perturbations; local point-interactions; boundary and passive control state/signal systems; extension theory of accretive, sectorial and symmetric operators; and Calkin's abstract boundary conditions. This accessible treatment of recent developments, written by leading researchers, will appeal to a broad range of researchers, students and professionals.