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Cluster Algebra Structures on Poisson Nilpotent Algebras
 
K. R Goodearl University of California, Santa Barbara, Santa Barbara, California
M. T. Yakimov Northeastern University, Boston, Massachusetts, USA
Softcover ISBN:  978-1-4704-6735-7
Product Code:  MEMO/290/1445
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-7631-1
Product Code:  MEMO/290/1445.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-6735-7
eBook: ISBN:  978-1-4704-7631-1
Product Code:  MEMO/290/1445.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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Cluster Algebra Structures on Poisson Nilpotent Algebras
K. R Goodearl University of California, Santa Barbara, Santa Barbara, California
M. T. Yakimov Northeastern University, Boston, Massachusetts, USA
Softcover ISBN:  978-1-4704-6735-7
Product Code:  MEMO/290/1445
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-7631-1
Product Code:  MEMO/290/1445.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-6735-7
eBook ISBN:  978-1-4704-7631-1
Product Code:  MEMO/290/1445.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: 2902023; 100 pp
    MSC: Primary 13; Secondary 17

    View the abstract.

  • Table of Contents
     
     
    • Chapters
    • 1. Introduction
    • 2. Poisson algebras
    • 3. Cluster algebras and Poisson cluster algebras
    • 4. Poisson-primes in Poisson-Ore extensions
    • 5. Iterated Poisson-Ore extensions
    • 6. Symmetry and maximal tori for Poisson-CGL extensions
    • 7. One-step mutations in Poisson-CGL extensions
    • 8. Homogeneous Poisson-prime elements for subalgebras of symmetric Poisson-CGL extensions
    • 9. Chains of mutations in symmetric Poisson-CGL extensions
    • 10. Division properties of mutations between Poisson-CGL extension presentations
    • 11. Symmetric Poisson nilpotent algebras and cluster algebras
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 2902023; 100 pp
MSC: Primary 13; Secondary 17

View the abstract.

  • Chapters
  • 1. Introduction
  • 2. Poisson algebras
  • 3. Cluster algebras and Poisson cluster algebras
  • 4. Poisson-primes in Poisson-Ore extensions
  • 5. Iterated Poisson-Ore extensions
  • 6. Symmetry and maximal tori for Poisson-CGL extensions
  • 7. One-step mutations in Poisson-CGL extensions
  • 8. Homogeneous Poisson-prime elements for subalgebras of symmetric Poisson-CGL extensions
  • 9. Chains of mutations in symmetric Poisson-CGL extensions
  • 10. Division properties of mutations between Poisson-CGL extension presentations
  • 11. Symmetric Poisson nilpotent algebras and cluster algebras
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
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