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Book Categories |
| Introduction | 1 | |
| Ch. 1 | The Definition and Some Basic Properties of the Algebra H[[pi]] | 15 |
| Ch. 2 | A Decomposition of the Algebra H[[pi]] when 1/2 [epsilon] k | 21 |
| Ch. 3 | Structure of the Algebra H[[pi]] for Two-Generator Groups | 29 |
| Ch. 4 | Absolutely Irreducible SL(2) Representations of Two-Generator Groups | 39 |
| Ch. 5 | Further Identities in the Algebra H[[pi]] when 1/2 [epsilon] k | 47 |
| Ch. 6 | Structure of [actual symbol not reproducible] for Free Groups [pi][subscript n] | 59 |
| Ch. 7 | Quaternion Algebra Localizations of H[[pi]] and Absolutely Irreducible SL(2) Representations | 69 |
| Ch. 8 | Algebro-Geometric Interpretation of SL(2) Representations of Groups | 83 |
| Ch. 9 | The Universal Matrix Representation of the Algebra H[[pi]] | 89 |
| Ch. 10 | Some Knot Invariants Derived from the Algebra H[[pi]] | 101 |
| Appendix A. Addenda | 107 | |
| Appendix B. Afterword | 183 | |
| Bibliography | 195 |
| Price | Condition | Delivery | Seller | Action |
| $99.99 | Digital |
| WonderClub |
Ricardo Gutierrez
reviewed SL(2) Representations of Finitely Presented Groups on January 25, 2017
SL
I normally don't do this, but I'm going to copy/paste this review across three separate books: Chaitin's "The Unknowable", "The Limits of Mathematics", and "Exploring Randomness".
All three are all thin, overpriced, but very approachable books on Algorithmic Information Theory. Themes include:
- Undecidability, as the basis of formulating a new kind of randomness measure for numbers that have already been generated (not just restricting randomness measures to the processes that generate numbers).
- Chaitin's Omega constant, which is the probability that universal Turning machine will halt on random input. This constant is "maximally unknowable", but that doesn't stop one from performing math with it.
- Philosophy surrounding these topics.
One might underestimate Kolmogorov's contributions, given how ridiculously self-promoting Chaitin has been with this AIT. However, the topics are interesting enough that he's easy to forgive. And he uses many code demonstrations (LISP) to make concrete examples out of the math.
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Add SL(2) Representations of Finitely Presented Groups, This book is essentially self-contained and requires only a basic abstract algebra course as background. The book includes and extends much of the classical theory of $SL(2)$ representations of groups. Readers will find $SL(2)$Representations of Finitely , SL(2) Representations of Finitely Presented Groups to the inventory that you are selling on WonderClubX
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Add SL(2) Representations of Finitely Presented Groups, This book is essentially self-contained and requires only a basic abstract algebra course as background. The book includes and extends much of the classical theory of $SL(2)$ representations of groups. Readers will find $SL(2)$Representations of Finitely , SL(2) Representations of Finitely Presented Groups to your collection on WonderClub |