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The Representation Theory of the Increasing Monoid
 
Sema Güntürkün University of Michigan, Ann Arbor, Michigan
Andrew Snowden University of Essex, Colchester, United Kingdom
Softcover ISBN:  978-1-4704-6546-9
Product Code:  MEMO/286/1420
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-7514-7
Product Code:  MEMO/286/1420.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-6546-9
eBook: ISBN:  978-1-4704-7514-7
Product Code:  MEMO/286/1420.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
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The Representation Theory of the Increasing Monoid
Sema Güntürkün University of Michigan, Ann Arbor, Michigan
Andrew Snowden University of Essex, Colchester, United Kingdom
Softcover ISBN:  978-1-4704-6546-9
Product Code:  MEMO/286/1420
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-7514-7
Product Code:  MEMO/286/1420.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-6546-9
eBook ISBN:  978-1-4704-7514-7
Product Code:  MEMO/286/1420.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 2862023; 134 pp
    MSC: Primary 20; 13; 16

    View the abstract.

  • Table of Contents
     
     
    • Chapters
    • 1. Introduction
    • 2. The increasing monoid
    • 3. Representation categories
    • 4. Monomial modules
    • 5. Gröbner theory
    • 6. Concatenation, shift, and transpose
    • 7. Finite length modules
    • 8. Multiplicities
    • 9. The smooth category as a Serre quotient of the graded category
    • 10. Completions
    • 11. The theorem on level
    • 12. Grothendieck groups, Hilbert series, and Krull dimension
    • 13. Induction and coinduction
    • 14. Injective modules
    • 15. Local cohomology and saturation
    • 16. Structure of level categories
    • 17. Koszul duality
    • 18. Grothendieck groups revisited
    • A. Categorical background
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 2862023; 134 pp
MSC: Primary 20; 13; 16

View the abstract.

  • Chapters
  • 1. Introduction
  • 2. The increasing monoid
  • 3. Representation categories
  • 4. Monomial modules
  • 5. Gröbner theory
  • 6. Concatenation, shift, and transpose
  • 7. Finite length modules
  • 8. Multiplicities
  • 9. The smooth category as a Serre quotient of the graded category
  • 10. Completions
  • 11. The theorem on level
  • 12. Grothendieck groups, Hilbert series, and Krull dimension
  • 13. Induction and coinduction
  • 14. Injective modules
  • 15. Local cohomology and saturation
  • 16. Structure of level categories
  • 17. Koszul duality
  • 18. Grothendieck groups revisited
  • A. Categorical background
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.