# Lambda-rings

by Donald Yau

Publisher: World Scientific in Singapore, Hackensack, NJ

Written in English

## Subjects:

• Commutative rings,
• Lambda algebra

## Edition Notes

Includes bibliographical references (p. 183-185) and index.

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* The delivery date is not guaranteed until you have checked out using an instant payment method. If your Guaranteed Delivery item isn’t on time, you can (1) return the item, for a refund of the full price and return shipping costs; or (2) keep the item and get a refund of your shipping costs (if shipping was free, get a $5 eBay voucher).Seller Rating: % positive. List of books stored in the ISBN of which begins with the publisher-specific prefix [lambda]-rings and the representation theory of the symmetric group (Lecture notes in mathematics ) (Springer tracts in natural philosophy) '' This Week’s Finds in Mathematical Physics (Week ) This is essentially Grothendieck’s theory λ \lambda-rings (see the book by Fulton-Lang) plus the language of monads, as in Plethystic Algebra. So I don’t think it’s a stretch to expect it to work at the undecategorified level. Thanks for contributing an answer to Mathematics Stack Exchange! Please be sure to answer the question. Provide details and share your research! But avoid Asking for help, clarification, or responding to other answers. Making statements based on opinion; back them up with references or personal experience. Use MathJax to format equations. ## Recent ## Lambda-rings by Donald Yau Download PDF EPUB FB2 The book gives a self-contained introduction to the theory of lambda-rings and closely related topics, including Witt vectors, integer-valued polynomials, and binomial rings. Many of the purely algebraic results about lambda-rings presented in this book have never appeared in book form before.5/5(1). Overview This book gives a self-contained introduction to the theory of lambda-rings and closely related topics, including Witt vectors, integer-valued polynomials, and binomial rings. Many of the purely algebraic results about lambda-rings presented in this book have never appeared in book form :$ Lambda-Rings and the Representation Theory of the Symmetric Group Lambda-Rings and the Representation Theory of the Symmetric Group.

Authors: Knutson, *immediately available upon purchase as print book shipments may be delayed due to the COVID crisis. ebook access is temporary and does not include ownership of the ebook. Only valid Brand: Springer-Verlag Berlin Heidelberg.

This book gives a self-contained introduction to the theory of lambda-rings and closely related topics, including Witt vectors, integer-valued polynomials, and binomial rings. Many of the purely algebraic results about lambda-rings presented in this book have never appeared in book form before.

This book gives a self-contained introduction to the theory of lambda-rings and closely related topics, Lambda-rings book Witt vectors, integer-valued polynomials, and binomial rings.

Many of the purely algebraic results about lambda-rings presented in this book have never appeared in book form before. Lambda-rings. World Scientific, 0 Reviews.

Preview this book. Janu World Scienti c Book - in x in Yau viii Lambda-Rings operations, which exist on any -ring, Adams and Atiyah were able to prove this theorem in under two pages.

(2) Another use of -rings in homotopy theory is the Lambda-rings book cation of the Mislin genus of the classifying space of a Lie group. Given a 1-connected compact Lie. This is not an answer, as I don't exactly know what Fulton and Lang are trying to achieve with the $\lambda$-ring structure on $\Lambda^{\circ}\left(A\right)$ (I must admit that, while I had the quixotic intent to read and rewrite Fulton-Lang's Chapter I in the notes that you cited, I.

The theory of Lambda-rings, in the sense of Grothendieck's Riemann-Roch theory, is an enrichment of the theory of commutative rings.

In the same way, we can enrich usual algebraic geometry over the ring Z of integers to produce Lambda-algebraic geometry. We show that Lambda-algebraic geometry is in a precise sense an algebraic geometry over a deeper base than Z and that it has many. In algebra, a λ-ring or lambda ring is a commutative ring together with some operations λ n on it that behave like the exterior powers of vector spaces.

Lambda-rings: Definitions and basic properties. These are notes on the theory of λ-rings. I started writing them as I was learning the subject myself.

Later I realized that much of the content is explained (usually better) in Yau's λ-rings book and in Hazewinkel's Witt vectors notes. Lambda-rings (Co)free lambda-rings The formalism of lambda-rings encodes the algebraic properties of operations such as ex- terior powers or symmetric powers.

Its algebraic background is the theory of symmetric functions or, equivalently, the theory of the symmetric group representations. Lambda-rings. [Donald Y Yau] -- "The book gives a self-contained introduction to the theory of lambda-rings and closely related topics, including Witt vectors, integer-valued polynomials, and binomial rings.

Edit: OK, over in chat, Darij Grinberg posted a better reference -- if he wants to post it as a separate answer I'll upvote it, though I can't accept it. -- which is Hazewinkel, Gubareni, and Kirichenko's book "Algebras, Rings, and Modules", volume 3; it discusses lambda rings in a way that puts the $\lambda^i$ and $\sigma^i$ (their terminology.

Description: This book gives a self-contained introduction to the theory of lambda-rings and closely related topics, including Witt vectors, integer-valued polynomials, and binomial rings.

Many of the purely algebraic results about lambda-rings presented in this book have never appeared in book form before. A pre-$\lambda$-ring is a commutative ring $R$ with identity element $1$ and a set of mappings $\lambda^n: R \rightarrow R$, $n = 0,1,2,\ldots$ such that.

Download Citation | On adic genus and lambda-rings | Sufficient conditions on a space are given which guarantee that the K-theory ring is an invariant of the adic genus. An immediate consequence Author: Donald Yau.

Lambda / ˈ l æ m d ə / (uppercase Λ, lowercase λ; Greek: λάμ(β)δα lám(b)da) is the 11th letter of the Greek alphabet, representing the sound /l/.In the system of Greek numerals lambda has a value of Lambda is derived from the Phoenician gave rise to the Latin L and the Cyrillic El (Л).

The ancient grammarians and dramatists give evidence to the pronunciation as. So, λ \lambda -rings are all about getting the most for your money when you decategorify a symmetric monoidal abelian category — for example the category of representations of a group, or the category of vector bundles on a topological space.

Find helpful customer reviews and review ratings for Lambda-Rings at Read honest and unbiased product reviews from our users.5/5(1). A cohomology theory for lambda-rings is developed. This is then applied to study deformations of lambda-rings.

We introduce the Andre-Quillen cohomology of lambda-rings and Psi-rings, this is different to the lambda-ring cohomology defined by Yau in We show that there is a natural transformation connecting the cohomology of the K-theory of spheres to the homotopy groups of spheres.

With $$\lambda$$-rings, one can regard symmetric functions as operators on polynomials and reduce the theory to just a handful of fundamental formulas. One of the main goals of the book is to describe the technique of $$\lambda$$-rings.

The main applications of this technique to the theory of symmetric functions are related to the Euclid. What my notes actually do is build up the basics of $\lambda$-rings from the power-series point of view in detail.) Donald Yau's "$\lambda$-rings" book and Hazewinkel's "Witt vectors, part I" are far better sources for this.

$\endgroup$ – darij grinberg May 23 '17 at The theory of Lambda-rings, in the sense of Grothendieck's Riemann-Roch theory, is an enrichment of the theory of commutative rings. In the same way, we can enrich usual algebraic geometry over Author: James Borger.

Download online ebook. Domain-Specific Languages: IFIP TC 2 Working Conference, DSLOxford, UK, July, Proceedings (Lecture Notes in Computer Science /. The theory of symmetric functions is an old topic in mathematics which is used as an algebraic tool in many classical fields.

With $\lambda$-rings, one can regard symmetric functions as operators on polynomials and reduce the theory to just a handful of fundamental formulas. One of the main goals of the book is to describe the technique of $\lambda$-rings. Robert R.

Bruner: Chern classes in lambda-rings, I In their book "Riemann-Roch Algebra", Fulton and Lang give an account of Chern classes in lambda-rings and a general version of Grothendieck's Riemann-Roch theorem. Their definition of Chern classes is based on the additive formal group law.

[Lambda]-rings and the representation theory of the symmetric group. Berlin, New York, Springer-Verlag, (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: Donald Knutson. INTRODUCTION TO -RINGS AND PLETHYSMS JOSHUA P.

SWANSON Abstract. These notes were for a talk given in the informal CAT seminar at the University of Washington on January 17th, Rings and Plethysms The purpose of this talk is to deﬁne and motivate the often-mysterious notion of “plethysm” of symmetric functions.

We begin with -rings. On adic genus and lambda-rings, Transactions of the AMS () Moduli space of filtered λ-ring structures over a filtered ring, Int.

J. Math. and Math. Sciences () Maps to spaces in the genus of infinite quaternionic projective Location: Newark, OH JOURNAL OF ALGEBRA () Lambda and Psi Operations on Green Rings D.J.

BENSON Department of Mathematics, Yale University. New Haven, Connecticut Communicated by Walter Feit Received January 4.

Let G be a finite group and k a field of characteristic p (possibly p = 0).Cited by: 9.The motivation being that $\lambda$-rings are known to form a subcategory of commutative rings for which the 1-power series functor is the right adjoint to the functor forgetting the $\lambda$-structure.