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Wigner-Type Theorems for Hilbert Grassmannians

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Release : 2020-01-16
Genre : Mathematics
Kind : eBook
Book Rating : 917/5 ( reviews)

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Book Synopsis Wigner-Type Theorems for Hilbert Grassmannians by : Mark Pankov

Download or read book Wigner-Type Theorems for Hilbert Grassmannians written by Mark Pankov. This book was released on 2020-01-16. Available in PDF, EPUB and Kindle. Book excerpt: An accessible introduction to the geometric approach to Wigner's theorem and its role in quantum mechanics.

Modern Trends in Algebra and Representation Theory

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Release : 2023-08-17
Genre : Mathematics
Kind : eBook
Book Rating : 350/5 ( reviews)

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Book Synopsis Modern Trends in Algebra and Representation Theory by : David Jordan

Download or read book Modern Trends in Algebra and Representation Theory written by David Jordan. This book was released on 2023-08-17. Available in PDF, EPUB and Kindle. Book excerpt: Expanding upon the material delivered during the LMS Autumn Algebra School 2020, this volume reflects the fruitful connections between different aspects of representation theory. Each survey article addresses a specific subject from a modern angle, beginning with an exploration of the representation theory of associative algebras, followed by the coverage of important developments in Lie theory in the past two decades, before the final sections introduce the reader to three strikingly different aspects of group theory. Written at a level suitable for graduate students and researchers in related fields, this book provides pure mathematicians with a springboard into the vast and growing literature in each area.

An Indefinite Excursion in Operator Theory

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Release : 2022-07-28
Genre : Mathematics
Kind : eBook
Book Rating : 038/5 ( reviews)

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Book Synopsis An Indefinite Excursion in Operator Theory by : Aurelian Gheondea

Download or read book An Indefinite Excursion in Operator Theory written by Aurelian Gheondea. This book was released on 2022-07-28. Available in PDF, EPUB and Kindle. Book excerpt: Presents a modern, readable introduction to spaces with indefinite inner product and their operator theory.

Maurer–Cartan Methods in Deformation Theory

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Release : 2023-08-31
Genre : Mathematics
Kind : eBook
Book Rating : 644/5 ( reviews)

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Book Synopsis Maurer–Cartan Methods in Deformation Theory by : Vladimir Dotsenko

Download or read book Maurer–Cartan Methods in Deformation Theory written by Vladimir Dotsenko. This book was released on 2023-08-31. Available in PDF, EPUB and Kindle. Book excerpt: Covering an exceptional range of topics, this text provides a unique overview of the Maurer-Cartan methods in algebra, geometry, topology, and mathematical physics. It offers a new conceptual treatment of the twisting procedure, guiding the reader through various versions with the help of plentiful motivating examples for graduate students as well as researchers. Topics covered include a novel approach to the twisting procedure for operads leading to Kontsevich graph homology and a description of the twisting procedure for (homotopy) associative algebras or (homotopy) Lie algebras using the biggest deformation gauge group ever considered. The book concludes with concise surveys of recent applications in areas including higher category theory and deformation theory.

The Logical Approach to Automatic Sequences

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Release : 2022-09-30
Genre : Computers
Kind : eBook
Book Rating : 979/5 ( reviews)

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Book Synopsis The Logical Approach to Automatic Sequences by : Jeffrey Shallit

Download or read book The Logical Approach to Automatic Sequences written by Jeffrey Shallit. This book was released on 2022-09-30. Available in PDF, EPUB and Kindle. Book excerpt: Automatic sequences are sequences over a finite alphabet generated by a finite-state machine. This book presents a novel viewpoint on automatic sequences, and more generally on combinatorics on words, by introducing a decision method through which many new results in combinatorics and number theory can be automatically proved or disproved with little or no human intervention. This approach to proving theorems is extremely powerful, allowing long and error-prone case-based arguments to be replaced by simple computations. Readers will learn how to phrase their desired results in first-order logic, using free software to automate the computation process. Results that normally require multipage proofs can emerge in milliseconds, allowing users to engage with mathematical questions that would otherwise be difficult to solve. With more than 150 exercises included, this text is an ideal resource for researchers, graduate students, and advanced undergraduates studying combinatorics, sequences, and number theory.

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