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Value Functions on Simple Algebras, and Associated Graded Rings
This monograph is the first book-length treatment of valuation theory on finite-dimensional division algebras, a subject of active and substantial research over the last forty years. Its development was spurred in the last decades of the twentieth century by important advances such as Amitsur's construction of non crossed products and Platonov's solution of the Tannaka-Artin problem. This st…
- Edition
- -
- ISBN/ISSN
- 978-3-319-16360-4
- Collation
- -
- Series Title
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- Call Number
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Simplicial and Dendroidal Homotopy Theory
This open access book offers a self-contained introduction to the homotopy theory of simplicial and dendroidal sets and spaces. These are essential for the study of categories, operads, and algebraic structure up to coherent homotopy. The dendroidal theory combines the combinatorics of trees with the theory of Quillen model categories. Dendroidal sets are a natural generalization of simplic…
- Edition
- 1
- ISBN/ISSN
- 978-3-031-10447-3
- Collation
- Mathematics
- Series Title
- Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
- Call Number
- 510
Infinity Properads and Infinity Wheeled Properads
The topic of this book sits at the interface of the theory of higher categories (in the guise of (∞,1)-categories) and the theory of properads. Properads are devices more general than operads and enable one to encode bialgebraic, rather than just (co)algebraic, structures. The text extends both the Joyal-Lurie approach to higher categories and the Cisinski-Moerdijk-Weiss approach to higher…
- Edition
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- ISBN/ISSN
- 978-3-319-20546-5
- Collation
- XV, 358
- Series Title
- -
- Call Number
- 510 HAC i
Infinite Matrices and Their Recent Applications
This monograph covers the theory of finite and infinite matrices over the fields of real numbers, complex numbers and over quaternions. Emphasizing topics such as sections or truncations and their relationship to the linear operator theory on certain specific separable and sequence spaces, the authors explore techniques like conformal mapping, iterations and truncations that are used to derive …
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- ISBN/ISSN
- 978-3-319-30179-2
- Collation
- X, 118
- Series Title
- -
- Call Number
- 510 SHI i
Problems and Proofs in Numbers and Algebra
* Memberikan dasar untuk memecahkan bukti dan masalah sebagai transisi ke aljabar dan matematika yang lebih abstrak. * Pembaca mempelajari kemampuan pemecahan masalah tentang pembuktian melalui angka dan aljabar. * Masalah dan teorema difokuskan pada berbagai bidang teori bilangan dan aljabar. ;;; Mengajukan soal dan membuktikan teorema atau pernyataan dalam bidang bilangan dan aljabar merupaka…
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- ISBN/ISSN
- 978-3-319-14427-6
- Collation
- -
- Series Title
- -
- Call Number
- 512 MIL p
Arthur's Invariant Trace Formula and Comparison of Inner Forms
This monograph provides an accessible and comprehensive introduction to James Arthur’s invariant trace formula, a crucial tool in the theory of automorphic representations. It synthesizes two decades of Arthur’s research and writing into one volume, treating a highly detailed and often difficult subject in a clearer and more uniform manner without sacrificing any technical details. The b…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-31593-5
- Collation
- XI, 567
- Series Title
- -
- Call Number
- 512.5 FLI a
A Handbook of Terms used in Algebra and Analysis
Degree students of mathematics are often daunted by the mass of definitions and theorems with which they must familiarize themselves. In the fields algebra and analysis this burden will now be reduced because in A Handbook of Terms they will find sufficient explanations of the terms and the symbolism that they are likely to come across in their university courses. Rather than being like an alph…
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- ISBN/ISSN
- 9780511565748
- Collation
- -
- Series Title
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- Call Number
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Configuration Spaces Geometry, Topology and Representation Theory
This book collects the scientific contributions of a group of leading experts who took part in the INdAM Meeting held in Cortona in September 2014. With combinatorial techniques as the central theme, it focuses on recent developments in configuration spaces from various perspectives. It also discusses their applications in areas ranging from representation theory, toric geometry and geometric g…
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- ISBN/ISSN
- 9783319315805
- Collation
- -
- Series Title
- -
- Call Number
- 512.9
Arithmetically Cohen-Macaulay Sets of Points in P^1 x P^1
This brief presents a solution to the interpolation problem for arithmetically Cohen-Macaulay (ACM) sets of points in the multiprojective space P^1 x P^1. It collects the various current threads in the literature on this topic with the aim of providing a self-contained, unified introduction while also advancing some new ideas. The relevant constructions related to multiprojective spaces are r…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-24166-1
- Collation
- VIII, 134
- Series Title
- SpringerBriefs in Mathematics
- Call Number
- 512.5 GUA a
Rigid Germs, the Valuative Tree, and Applications to Kato Varieties
This thesis deals with specific features of the theory of holomorphic dynamics in dimension 2 and then sets out to study analogous questions in higher dimensions, e.g. dealing with normal forms for rigid germs, and examples of Kato 3-folds. The local dynamics of holomorphic maps around critical points is still not completely understood, in dimension 2 or higher, due to the richness of the ge…
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