The Resource Lambda-rings, Donald Yau

Lambda-rings, Donald Yau

Label
Lambda-rings
Title
Lambda-rings
Statement of responsibility
Donald Yau
Creator
Subject
Language
eng
Summary
"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. This book concludes with a chapter on open problems related to lambda-rings."--BOOK JACKET
Cataloging source
BTCTA
http://library.link/vocab/creatorDate
1977-
http://library.link/vocab/creatorName
Yau, Donald Y.
Dewey number
512.44
Illustrations
illustrations
Index
index present
LC call number
QA251.3
LC item number
.Y38 2010
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/subjectName
  • Commutative rings
  • Lambda algebra
Label
Lambda-rings, Donald Yau
Instantiates
Publication
Bibliography note
Includes bibliographical references (p. 183-185) and index
Contents
1. λ -Rings -- 1.1. Symmetric Functions -- 1.2. λ -Rings -- 1.3. Free λ -Rings -- 1.4. The Verification Principle -- 1.5. The Splitting Principle -- 1.6. Exercises -- 2. Universal λ -Rings -- 2.1. The Universal λ -Ring λ (R) -- 2.2. Categories and Functors -- 2.3. Comonads and Coalgebras -- 2.4. λ -Rings as A-Coalgebras -- 2.5. Exercises -- 3. Adams Operations -- 3.1. Adams Operations -- 3.2. γ -Operations -- 3.3. γ -Filtration -- 3.4. ψ Rings -- 3.5. ψ -Rings as ψ -Coalgebras -- 3.6. Wilkerson's Theorem -- 3.7. Localization and Completion of λ -Rings -- 3.8. Exercises -- 4. Witt Vectors -- 4.1. Big Witt Vectors -- 4.2. Artin-Hasse Exponential -- 4.3. Characterization of the Functor A -- 4.4. W as a Comonad -- 4.5. Exercises -- 5. Binomial Rings -- 5.1. Binomial Rings as λ -Rings -- 5.2. Integer-Valued Polynomials -- 5.3. A Basis for Integer-Valued Polynomials -- 5.4. Binomial Rings as Integer-Valued Polynomials -- 5.5. Knutson's Theorem -- 5.6. Necklace Rings -- 5.7. Exercises -- 6. Filtered λ -Rings, I -- 6.1. Filtered λ -Rings -- 6.2. Power Series Rings -- 6.3. Classification of λ (Z[x]/(x2)) -- 6.4. Classification of λ (Z[x]/(x3)) -- 6.5. Exercises -- 7. Filtered λ -Rings, II -- 7.1. Power Series Rings -- 7.2. Filtered λ -Rings as Coalgebras -- 7.3. Exercises -- 8. Open Problems -- 8.1. Power Series and Polynomial Rings -- 8.2. Universal Ring Γ -- 8.3. Representation Ring -- 8.4. Topological K-Theory -- 8.5. Mislin Genus
Dimensions
26 cm.
Extent
xiv, 190 p.
Isbn
9789814299091
Lccn
2010280914
Other physical details
ill.
System control number
  • (CaMWU)u2512334-01umb_inst
  • 2510408
  • (Sirsi) i9789814299091
  • (OCoLC)496951732
Label
Lambda-rings, Donald Yau
Publication
Bibliography note
Includes bibliographical references (p. 183-185) and index
Contents
1. λ -Rings -- 1.1. Symmetric Functions -- 1.2. λ -Rings -- 1.3. Free λ -Rings -- 1.4. The Verification Principle -- 1.5. The Splitting Principle -- 1.6. Exercises -- 2. Universal λ -Rings -- 2.1. The Universal λ -Ring λ (R) -- 2.2. Categories and Functors -- 2.3. Comonads and Coalgebras -- 2.4. λ -Rings as A-Coalgebras -- 2.5. Exercises -- 3. Adams Operations -- 3.1. Adams Operations -- 3.2. γ -Operations -- 3.3. γ -Filtration -- 3.4. ψ Rings -- 3.5. ψ -Rings as ψ -Coalgebras -- 3.6. Wilkerson's Theorem -- 3.7. Localization and Completion of λ -Rings -- 3.8. Exercises -- 4. Witt Vectors -- 4.1. Big Witt Vectors -- 4.2. Artin-Hasse Exponential -- 4.3. Characterization of the Functor A -- 4.4. W as a Comonad -- 4.5. Exercises -- 5. Binomial Rings -- 5.1. Binomial Rings as λ -Rings -- 5.2. Integer-Valued Polynomials -- 5.3. A Basis for Integer-Valued Polynomials -- 5.4. Binomial Rings as Integer-Valued Polynomials -- 5.5. Knutson's Theorem -- 5.6. Necklace Rings -- 5.7. Exercises -- 6. Filtered λ -Rings, I -- 6.1. Filtered λ -Rings -- 6.2. Power Series Rings -- 6.3. Classification of λ (Z[x]/(x2)) -- 6.4. Classification of λ (Z[x]/(x3)) -- 6.5. Exercises -- 7. Filtered λ -Rings, II -- 7.1. Power Series Rings -- 7.2. Filtered λ -Rings as Coalgebras -- 7.3. Exercises -- 8. Open Problems -- 8.1. Power Series and Polynomial Rings -- 8.2. Universal Ring Γ -- 8.3. Representation Ring -- 8.4. Topological K-Theory -- 8.5. Mislin Genus
Dimensions
26 cm.
Extent
xiv, 190 p.
Isbn
9789814299091
Lccn
2010280914
Other physical details
ill.
System control number
  • (CaMWU)u2512334-01umb_inst
  • 2510408
  • (Sirsi) i9789814299091
  • (OCoLC)496951732

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