How Long to Read Commuting Elements in Q-Deformed Heisenberg Algebras

How Long Does it Take to Read Commuting Elements in Q-Deformed Heisenberg Algebras?

It takes the average reader 4 hours and 34 minutes to read Commuting Elements in Q-Deformed Heisenberg Algebras by Lars Hellström

Assuming a reading speed of 250 words per minute. Learn more

Description

Noncommutative algebras, rings and other noncommutative objects, along with their more classical commutative counterparts, have become a key part of modern mathematics, physics and many other fields. The q-deformed Heisenberg algebras defined by deformed Heisenberg canonical commutation relations of quantum mechanics play a distinguished role as important objects in pure mathematics and in many applications in physics. The structure of commuting elements in an algebra is of fundamental importance for its structure and representation theory as well as for its applications. The main objects studied in this monograph are q-deformed Heisenberg algebras — more specifically, commuting elements in q-deformed Heisenberg algebras. In this book the structure of commuting elements in q-deformed Heisenberg algebras is studied in a systematic way. Many new results are presented with complete proofs. Several appendices with some general theory used in other parts of the book include material on the Diamond lemma for ring theory, a theory of degree functions in arbitrary associative algebras, and some basic facts about q-combinatorial functions over an arbitrary field. The bibliography contains, in addition to references on q-deformed Heisenberg algebras, some selected references on related subjects and on existing and potential applications. The book is self-contained, as far as proofs and the background material are concerned. In addition to research and reference purposes, it can be used in a special course or a series of lectures on the subject or as complementary material to a general course on algebra. Specialists as well as doctoral and advanced undergraduate students in mathematics and physics will find this book useful in their research and study. Contents:Immediate Consequences of the Commutation RelationsBases and Normal Form in H(q) and H(q,J)Degree in and Gradation of H(q,J)Centralisers of Elements in H(q,J)Centralisers of Elements in H(q)Algebraic Dependence of Commuting Elements in H(q) and H(q,J)Representations of H(q,J) by q-Difference OperatorsThe Diamond LemmaDegree Functions and Gradationsq-Special Combinatorics Readership: Researchers, graduate students and undergraduates in algebra and physics. Keywords:q-Deformed Heisenberg Algebras;Normal Form;Gradation;Commuting Elements;q-Difference Operators;Centraliser;Diamond Lemma;Graded Algebras;q-CombinatoricsReviews:“The exposition is very detailed and the book may serve both as a text for researchers interested in the theory of quantum deformations and as an introductory text for beginners.”Mathematical Reviews “The book has an extended list of references (410 items). The exposition is self-contained and may be very useful both to specialists and doctoral or advanced undergraduate students.”Romanian Journal of Pure and Applied Mathematics “… this is a very elementary and full of detail book, which some beginners in the theory of quantum deformations can find interesting and useful to dip into for calculations or to learn about the Diamond Lemma, gradation or q-calculus.”Mathematics Abstracts

How long is Commuting Elements in Q-Deformed Heisenberg Algebras?

Commuting Elements in Q-Deformed Heisenberg Algebras by Lars Hellström is 272 pages long, and a total of 68,544 words.

This makes it 92% the length of the average book. It also has 84% more words than the average book.

How Long Does it Take to Read Commuting Elements in Q-Deformed Heisenberg Algebras Aloud?

The average oral reading speed is 183 words per minute. This means it takes 6 hours and 14 minutes to read Commuting Elements in Q-Deformed Heisenberg Algebras aloud.

What Reading Level is Commuting Elements in Q-Deformed Heisenberg Algebras?

Commuting Elements in Q-Deformed Heisenberg Algebras is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Commuting Elements in Q-Deformed Heisenberg Algebras?

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