Cluster Algebra Structures on Poisson Nilpotent Algebras
| Title | Cluster Algebra Structures on Poisson Nilpotent Algebras PDF eBook |
| Author | K. R Goodearl |
| Publisher | American Mathematical Society |
| Pages | 112 |
| Release | 2023-11-27 |
| Genre | Mathematics |
| ISBN | 1470467356 |
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Quantum Cluster Algebra Structures on Quantum Nilpotent Algebras
| Title | Quantum Cluster Algebra Structures on Quantum Nilpotent Algebras PDF eBook |
| Author | K. R. Goodearl |
| Publisher | American Mathematical Soc. |
| Pages | 134 |
| Release | 2017-04-25 |
| Genre | Mathematics |
| ISBN | 1470436949 |
All algebras in a very large, axiomatically defined class of quantum nilpotent algebras are proved to possess quantum cluster algebra structures under mild conditions. Furthermore, it is shown that these quantum cluster algebras always equal the corresponding upper quantum cluster algebras. Previous approaches to these problems for the construction of (quantum) cluster algebra structures on (quantized) coordinate rings arising in Lie theory were done on a case by case basis relying on the combinatorics of each concrete family. The results of the paper have a broad range of applications to these problems, including the construction of quantum cluster algebra structures on quantum unipotent groups and quantum double Bruhat cells (the Berenstein-Zelevinsky conjecture), and treat these problems from a unified perspective. All such applications also establish equality between the constructed quantum cluster algebras and their upper counterparts
A Plethora of Cluster Structures on $GL_n$
| Title | A Plethora of Cluster Structures on $GL_n$ PDF eBook |
| Author | M. Gekhtman |
| Publisher | American Mathematical Society |
| Pages | 116 |
| Release | 2024-06-07 |
| Genre | Mathematics |
| ISBN | 1470469707 |
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Higher Airy Structures, $mathcal {W}$ Algebras and Topological Recursion
| Title | Higher Airy Structures, $mathcal {W}$ Algebras and Topological Recursion PDF eBook |
| Author | Gaëtan Borot |
| Publisher | American Mathematical Society |
| Pages | 120 |
| Release | 2024-05-15 |
| Genre | Mathematics |
| ISBN | 1470469065 |
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Mixed Hodge Structures on Alexander Modules
| Title | Mixed Hodge Structures on Alexander Modules PDF eBook |
| Author | Eva Elduque |
| Publisher | American Mathematical Society |
| Pages | 128 |
| Release | 2024-05-15 |
| Genre | Mathematics |
| ISBN | 1470469677 |
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$p$-DG Cyclotomic nilHecke Algebras
| Title | $p$-DG Cyclotomic nilHecke Algebras PDF eBook |
| Author | Mikhail Khovanov |
| Publisher | American Mathematical Society |
| Pages | 106 |
| Release | 2024-02-01 |
| Genre | Mathematics |
| ISBN | 1470468719 |
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$p$-DG Cyclotomic nilHecke Algebras II
| Title | $p$-DG Cyclotomic nilHecke Algebras II PDF eBook |
| Author | You Qi |
| Publisher | American Mathematical Society |
| Pages | 118 |
| Release | 2024-02-01 |
| Genre | Mathematics |
| ISBN | 1470468727 |
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