Free Download Classical Clifford Algebras; Operator-Algebraic and Free-Probabilistic Approaches
by Ilwoo Cho
English | 2024 | ISBN: 1032637110 | 135 pages | True PDF | 1.89 MB

Free Download Banach Function Algebras, Arens Regularity, and BSE Norms
English | 2024 | ISBN: 3031445317 | 457 Pages | PDF EPUB (True) | 44 MB
Some of the questions dealt with in the book are: Whether the introduced Banach algebras are BSE-algebras, whether they have BSE norms, whether they have the separating ball property or some variant of it, and whether they are Arens regular. The book contains quite a few new results, as well as new proofs of a good many known results.

Free Download Banach Algebras and Applications: Proceedings of the International Conference held at the University of Oulu, July 3-11, 2017
by Mahmoud Filali
English | 2020 | ISBN: 311060132X | 264 Pages | True PDF | 3.9 MB

Free Download Robert S. Doran, "Superstrings, Geometry, Topology, and C*-algebras "
English | ISBN: 0821848879 | 2010 | 249 pages | PDF | 5 MB
The principal lecturer at the regional conference was Jonathan Rosenberg (U. of Maryland), but his lectures are published elsewhere, though he does provide a technical introduction explaining how the other 11 papers are linked. Among the topics are the functoriality of Rieffel's generalized fixed-point algebras for proper actions, division algebras and supersymmetry, Riemann-Roch and index formulae in twisted K-theory, noncommutative Yang-Mills theory for quantum Heisenberg manifolds, distances between matrix algebras that converge to coadjoint orbits, and geometric and topological structures related to M-branes. No index is provided. Annotation ©2010 Book News, Inc., Portland, OR (booknews.com)

Free Download Andrzej Skowroński, "Representations of Algebras and Related Topics"
English | ISBN: 3037191015 | 2011 | 740 pages | PDF | 4 MB
This book is concerned with recent trends in the representation theory of algebras and its exciting interaction with geometry, topology, commutative algebra, Lie algebras, combinatorics, quantum algebras, and theoretical physics. The collection of articles, written by leading researchers in the field, is conceived as a sort of handbook providing easy access to the present state of knowledge and stimulating further development. The topics under discussion include quivers, quivers with potential, bound quiver algebras, Jacobian algebras, cluster algebras and categories, Calabi-Yau algebras and categories, triangulated and derived categories, quantum loop algebras, Nakajima quiver varieties, Yang-Baxter equations, T-systems and Y-systems, dilogarithm and quantum dilogarithm identities, stable module categories, localizing and colocalizing subcategories, cohomologies of groups, support varieties, fusion systems, Hochschild cohomologies, weighted projective lines, coherent sheaves, Kleinian and Fuchsian singularities, stable categories of vector bundles, nilpotent operators, Artin-Schelter regular algebras, Fano algebras, deformations of algebras, module varieties, degenerations of modules, singularities of orbit closures, coalgebras and comodules, representation types of algebras and coalgebras, Tits and Euler forms of algebras, Galois coverings of algebras, tilting and cluster tilting theory, algebras of small homological dimensions, Auslander-Reiten theory. The book consists of thirteen self-contained expository survey and research articles and is addressed to researchers and graduate students in algebra as well as a broader mathematical community. They contain a large number of examples and open problems and give new perspectives for research in the field.

Giardina C Many-Sorted Algebras for Deep Learning and Quantum Technology 2024 | 14.82 MB
N/A | 816 Pages

Title: Many-Sorted Algebras for Deep Learning and Quantum Technology
Author: Charles R. Giardina
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Vladimirov D Boolean Algebras in Analysis 2010 | 13.89 MB
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Title: CMBX10
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Free Download Semigroups, Algebras and Operator Theory: ICSAOT 2022, CUSAT, India, March 28-31 by A. A. Ambily, V. B. Kiran Kumar
English | PDF EPUB (True) | 2024 | 274 Pages | ISBN : 9819963486 | 33.6 MB
This book contains chapters on a range of topics in mathematics and mathematical physics, including semigroups, algebras, operator theory and quantum mechanics, most of them have been presented at the International Conference on Semigroup, Algebras, and Operator Theory (ICSAOT-22), held at Cochin, Kerala, India, from 28-31 March 2022. It highlights the significance of semigroup theory in different areas of mathematics and delves into various themes that demonstrate the subject's diverse nature and practical applications. One of the key features of the book is its focus on the relationship between geometric algebra and quantum mechanics. The book offers both theoretical and numerical approximation results, presenting a comprehensive overview of the subject. It covers a variety of topics, ranging from C∗-algebraic models to numerical solutions for partial differential equations.

Free Download From Rings and Modules to Hopf Algebras: One Flew over the Algebraist's Nest
English | 2024 | ISBN: 303150061X | 528 Pages | PDF (True) | 9 MB
Throughout the book, the exposition relies on universal constructions, making systematic use of quotients and category theory ― whose language is introduced in the first chapter. The book is divided into four parts. Parts I and II cover foundations of rings and modules, field theory and generalities on finite group representations, insisting on rings of polynomials and their ideals. Part III culminates in the structure theory of finitely generated modules over Dedekind domains and its applications to abelian groups, linear maps, and foundations of algebraic number theory. Part IV is an extensive study of linear representations of finite groups over fields of characteristic zero, including graded representations and graded characters as well as a final chapter on the Drinfeld-Lusztig double of a group algebra, appearing for the first time in a textbook at this level.

Free Download C*-algebras and Elliptic Theory II by Dan Burghelea, Richard Melrose, Alexander S. Mishchenko, Evgenij V. Troitsky
English | PDF (True) | 2008 | 312 Pages | ISBN : 3764386037 | 2.7 MB
This book consists of a collection of original, refereed research and expository articles on elliptic aspects of geometric analysis on manifolds, including singular, foliated and non-commutative spaces. The topics covered include the index of operators, torsion invariants, K-theory of operator algebras and L2-invariants. There are contributions from leading specialists, and the book maintains a reasonable balance between research, expository and mixed papers.