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Weight Multiplicities and Young Tableaux Through Affine Crystals
| Softcover ISBN: | 978-1-4704-5994-9 |
| Product Code: | MEMO/283/1401 |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| eBook ISBN: | 978-1-4704-7402-7 |
| Product Code: | MEMO/283/1401.E |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| Softcover ISBN: | 978-1-4704-5994-9 |
| eBook: ISBN: | 978-1-4704-7402-7 |
| Product Code: | MEMO/283/1401.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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Weight Multiplicities and Young Tableaux Through Affine Crystals
| Softcover ISBN: | 978-1-4704-5994-9 |
| Product Code: | MEMO/283/1401 |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| eBook ISBN: | 978-1-4704-7402-7 |
| Product Code: | MEMO/283/1401.E |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| Softcover ISBN: | 978-1-4704-5994-9 |
| eBook ISBN: | 978-1-4704-7402-7 |
| Product Code: | MEMO/283/1401.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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Book DetailsMemoirs of the American Mathematical SocietyVolume: 283; 2023; 88 ppMSC: Primary 05; 17; 81; 16
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Table of Contents
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Chapters
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Introduction
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1. Affine Kac–Moody algebras
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2. Crystals and Young walls
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3. Young tableaux and almost even tableaux
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4. Lattice paths and triangular arrays
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5. Dominant maximal weights
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6. Weight multiplicities and (spin) rigid Young tableaux
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7. Level $2$ weight multiplicities: Catalan and Pascal triangles
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8. Level $3$ weight multiplicities: Motzkin and Riordan triangles
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9. Some level $k$ weight multiplicities when $k\to \infty $: Bessel triangle
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10. Standard Young tableaux with a fixed number of rows of odd length
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Additional Material
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
Volume: 283; 2023; 88 pp
MSC: Primary 05; 17; 81; 16
-
Chapters
-
Introduction
-
1. Affine Kac–Moody algebras
-
2. Crystals and Young walls
-
3. Young tableaux and almost even tableaux
-
4. Lattice paths and triangular arrays
-
5. Dominant maximal weights
-
6. Weight multiplicities and (spin) rigid Young tableaux
-
7. Level $2$ weight multiplicities: Catalan and Pascal triangles
-
8. Level $3$ weight multiplicities: Motzkin and Riordan triangles
-
9. Some level $k$ weight multiplicities when $k\to \infty $: Bessel triangle
-
10. Standard Young tableaux with a fixed number of rows of odd length
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.