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# ðŸ“™ Self-Dual Codes and Invariant Theory by Gabriele Nebe, Eric M. Rains, Neil J.A. Sloane â€” download pdf

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- Author:
**Gabriele Nebe, Eric M. Rains, Neil J.A. Sloane** - Year:
**2006** - Publisher:
**Springer** - Language:
**English** - ISBN:
**978-3-540-30729-7**

- File size:
**2 913 507** - Format:
**pdf**

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One of the most remarkable and beautiful theorems in coding theory is Gleason's 1970 theorem about the weight enumerators of self-dual codes and their connections with invariant theory, which has inspired hundreds of papers about generalizations and appli...

One of the most remarkable and beautiful theorems in coding theory is Gleason's 1970 theorem about the weight enumerators of self-dual codes and their connections with invariant theory, which has inspired hundreds of papers about generalizations and appli...

Self-duality greatly reduces the mathematical difficulties of a theory but it is also a notion of considerable physical significance. The new class of self-dual Chern-Simons theories discussed in detail in this book arise in the context of anyonic quantum...

Self-duality greatly reduces the mathematical difficulties of a theory but it is also a notion of considerable physical significance. The new class of self-dual Chern-Simons theories discussed in detail in this book arise in the context of anyonic quantum...

We establish a uniqueness result for the topological multivortex solution to theself-dual equations of the Abelian relativistic self-dual Chern-Simons-Higgsmodel. We prove that the topological multivortex solution is unique if the Chern-Simons coupling pa...

Using an original mode of presentation and emphasizing the computational nature of the subject, this book explores a number of the unsolved problems that continue to exist in coding theory. A well-established and still highly relevant branch of mathematic...

Using an original mode of presentation and emphasizing the computational nature of the subject, this book explores a number of the unsolved problems that continue to exist in coding theory. A well-established and still highly relevant branch of mathematic...

This book presents the characteristic zero invariant theory of finite groups acting linearly on polynomial algebras. The author assumes basic knowledge of groups and rings, and introduces more advanced methods from commutative algebra along the way. The t...

There has been a resurgence of interest in classical invariant theory driven by several factors: new theoretical developments; a revival of computational methods coupled with powerful new computer algebra packages; and a wealth of new applications, rangin...

This book covers the modular invariant theory of finite groups, the case when the characteristic of the field divides the order of the group. It explains a theory that is more complicated than the study of the classical non-modular case, and it describes ...